2012-14 Academic Catalog

Department of Mathematics

(College of Humanities, Arts and Sciences)

www.math.uni.edu/

The Department of Mathematics offers the following undergraduate and graduate programs, and program certificate. Specific requirements for these programs are listed within this Department of Mathematics section in the following order:

  • Undergraduate Majors (B.A.)
    • Mathematics
    • Mathematics-Statistics/Actuarial Science
    • Mathematics-Teaching
  • Minors
    • Mathematics
    • Mathematics-Teaching
    • Mathematics (K-8)-Teaching
    • Statistics and Actuarial Science
  • Graduate Majors (M.A.)
    • Mathematics:
      • Mathematics
      • Secondary Teaching
      • Community College Teaching
    • Mathematics for the Middle Grades (4-8)
  • Graduate Majors (P.S.M.)
    • Industrial Mathematics
  • Program Certificate
    • Continuous Quality Improvement Certificate

Notes:

  1. A student majoring or minoring in mathematics, who has a grade point average of less than 2.25 in all departmental courses used for that major or minor may not apply a departmental course in which a grade of less than C- is earned to her/his major or minor.
  2. Undergraduate students who have been admitted to the university provisionally because of non-satisfaction of the high school mathematics requirements may not enroll in any mathematics credit course before this requirement has been met.
  3. Students who complete the requirements for more than one program (major or minor) within mathematics may have that noted on their transcripts.

Bachelor of Arts Degree Programs

Mathematics Major

The Mathematics major requires a minimum of 120 total hours to graduate. This total includes Liberal Arts Core requirements and the following specified major requirements, plus electives to complete the minimum of 120 hours.

Required
Mathematics:
Common core:15
Calculus I (required) *
Calculus II
Calculus III
Linear Algebra for Applications
Mathematics core:12
Intermediate Mathematical Analysis I
Intermediate Mathematical Analysis II
Modern Algebra I
Modern Algebra II
Electives12-13
Mathematics:
Senior Mathematics Seminar **
or
Undergraduate Research in Mathematics **
Group I:
Modern Geometries
Euclidean Geometry
Differential Geometry
Topology I
Group II:
Dynamical Systems: Chaos Theory and Fractals
Differential Equations
Numerical Analysis *
Combinatorics
Introduction to Probability
Introduction to Complex Analysis
Group III:
History of Mathematics: To the Calculus
Elementary Number Theory
Total Hours39-40

 

*

These courses have additional prerequisites as follows:

MATH 1420 (800:060) has prerequisite of MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent.

MATH 3440/5440 (800:176g) has prerequisite of CS 1130 (810:030), CS 1160 (810:036), or CS 1510 (810:051).

**

Either MATH 4900 (800:194) and four courses as described below, or MATH 4990 (800:195) and three courses as described below.

One course must be from each of Groups I, II, III. If a fourth course is required, it may be either any other course from Groups I, II, III, or any course that has one of the courses from Groups I, II, and III as a prerequisite.


Mathematics Major-Statistics/Actuarial Science

The Mathematics-Statistics/Actuarial Science major requires a minimum of 120 total hours  to graduate. This total includes Liberal Arts Core requirements and the following specified major requirements, plus electives to complete the minimum of 120 hours.

The major is available in two emphases, the Statistics emphasis and the Actuarial Science emphasis. Each emphasis requires completion of the common core, the seminar/research requirement, the core for the chosen emphasis (Statistics or Actuarial Science), and 6 hours of electives that do not duplicate course work chosen to meet the chosen emphasis (Statistics or Actuarial Science) core requirement.

Required
Mathematics:
Common core:15
Calculus I *
Calculus II
Calculus III
Linear Algebra for Applications
Statistics/Actuarial Science core:9
Introductory Statistics for Life Sciences
Introduction to Statistical Methods
Introduction to Mathematical Statistics
Introduction to Probability
Computer Science:3-4
Select one of the following:
Visual BASIC Programming
C/C++ Programming
Introduction to Computing
Seminar/research:1-3
Senior Mathematics Seminar
Undergraduate Research in Mathematics
Select and complete ONE of the following Emphasis Cores:9
Statistics Emphasis Core:
Select three from the following:
Applied Statistical Methods for Research
Regression Analysis
Design and Analysis of Experiments
Applied Multivariate Statistical Analysis
Actuarial Science Emphasis Core:
Select three from the following:
Mathematics of Finance
Actuarial Mathematics
Loss Models
Introduction to Financial Engineering
Electives6
Select two from the following:
Applied Statistical Methods for Research
Regression Analysis
Spatial Data Analysis
Statistical Computing
Design and Analysis of Experiments
Statistical Quality Assurance Methods
Applied Multivariate Statistical Analysis
Actuarial Examination Preparation **
Actuarial Mathematics
Topics in Actuarial Science
Introduction to Financial Engineering
Loss Models
Numerical Analysis
Mathematics of Finance
Introduction to Stochastic Processes
Total Hours43-46

 

*

MATH 1420 (800:060) has prerequisite of MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent.

**

 ACT SCI 3731 (800:146) may be repeated for credit for preparation for different exams, however only 3 hours will count toward the Statistics/Actuarial Science major.

Mathematics Major-Teaching

The Mathematics-Teaching major requires a minimum of 122-123 total hours to graduate.

This total includes Liberal Arts Core requirements, the Professional Education Requirements, and the following specified major requirements to complete the minimum of 122-123 hours.

Required
Mathematics:
Common core:15
Calculus I (required) *
Calculus II
Calculus III
Linear Algebra for Applications
Teaching core:33
Technology and Programming for Secondary Mathematics Teachers
The Teaching of Middle School/Junior High Mathematics
The Teaching of Secondary Mathematics
Connections: University Mathematics and the Secondary Curriculum
Combinatorics
Modern Geometries
Euclidean Geometry
History of Mathematics: To the Calculus
Probability and Statistics
Modern Algebra I
Select two of the following:
Modern Algebra II
Elementary Number Theory
Geometric Transformations
Computer Science:3-4
Select one of the following:
Media Computation
Visual BASIC Programming
Introduction to Programming Environments for Education
C/C++ Programming
Introduction to Computing
Total Hours51-52

 

*

MATH 1420 (800:060) has a prerequisite of MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent.

For departmental approval to student teach, a student on the program must satisfy the university requirements to student teach and the following departmental requirements:

  1. Must earn a C- or better in:
  2. Calculus I
    Calculus II
    Linear Algebra for Applications
    The Teaching of Middle School/Junior High Mathematics
    The Teaching of Secondary Mathematics
    Combinatorics
    Modern Geometries
    Euclidean Geometry
    Modern Algebra I
    Probability and Statistics
  3. Must complete all of the courses in the major with a major grade point average of 2.50 or higher.

Minors

Mathematics Minor

Required
Mathematics:11
Calculus I (required) *
Calculus II
Linear Algebra for Applications
Electives12
Mathematics:
Topics in Actuarial Science
Calculus III
Dynamical Systems: Chaos Theory and Fractals
Combinatorics
Differential Equations
Numerical Analysis
Partial Differential Equations
Modern Geometries
Euclidean Geometry
Differential Geometry
History of Mathematics: To the Calculus
Probability and Statistics
Introduction to Probability
Intermediate Mathematical Analysis II
Elementary Number Theory
Introduction to Complex Analysis
Intermediate Mathematical Analysis I
Modern Algebra I
Modern Algebra II
Geometric Transformations
Topology I
Introduction to Stochastic Processes
Introduction to Mathematical Statistics
Regression Analysis
Statistical Quality Assurance Methods
Applied Multivariate Statistical Analysis
Total Hours23

 

*

MATH 1420 (800:060) has prerequisite of MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent.

Mathematics Minor-Teaching

Required
Mathematics:
MATH 1310 (800:096)Technology and Programming for Secondary Mathematics Teachers3
MATH 1420 (800:060)Calculus I (required) *4
MATH 1421 (800:061)Calculus II4
Select one of the following:3
Introductory Statistics for Life Sciences (required)
Introduction to Statistical Methods (required)
Probability and Statistics
MATH 2500 (800:076)Linear Algebra for Applications3
MATH 3530/5530 (800:143g)Combinatorics3
MATH 4500/5500 (800:160g)Modern Algebra I3
MATH 3610/5610 (800:165g)Modern Geometries3
or MATH 3600/5600 (800:166g) Euclidean Geometry
MATH 3303 (800:188)The Teaching of Middle School/Junior High Mathematics3
MATH 3304 (800:190)The Teaching of Secondary Mathematics3
Computer Science:
Select one of the following:3-4
Media Computation
Visual BASIC Programming
Introduction to Programming Environments for Education
C/C++ Programming
Introduction to Computing
Total Hours35-36

 

*

MATH 1420 (800:060) has prerequisite of MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent.

Mathematics Minor (K-8)-Teaching

Required
Mathematics:
MATH 1201 (800:031)Mathematical Reasoning for Teaching I3
MATH 1210 (800:037)Technology for Elementary School Mathematics Teachers3
MATH 3211 (800:111g)Introduction to Algebraic Thinking for Elementary Teachers4
MATH 3212/5212 (800:112g)Introduction to Geometry and Measurement for Elementary Teachers3
MATH 3213/5213 (800:113g)Topics in Mathematics for Grades K-83
MATH 3214/5214 (800:114g)Problem Solving in Mathematics for Elementary Teachers4
MATH 3202 (800:131)Mathematical Reasoning for Teaching II3
MATH 3215 (800:192)Mathematics for Elementary Students with Special Needs1
Total Hours24

 Statistics and Actuarial Science Minor

Required
Mathematics:
MATH 1420 (800:060)Calculus I (required) *4
MATH 1421 (800:061)Calculus II4
STAT 1774 (800:064)Introductory Statistics for Life Sciences (required)3
or STAT 1772 (800:072) Introduction to Statistical Methods
MATH 3752/5752 (800:152g)Introduction to Probability3
Electives9
Mathematics:
Select three of the following:
Actuarial Examination Preparation
Topics in Actuarial Science
Introduction to Financial Engineering
Calculus III
Linear Algebra for Applications
Mathematics of Finance
Introduction to Stochastic Processes
Applied Statistical Methods for Research
Introduction to Mathematical Statistics
Regression Analysis
Spatial Data Analysis
Statistical Computing
Design and Analysis of Experiments
Statistical Quality Assurance Methods
Applied Multivariate Statistical Analysis
Total Hours23

 

*

MATH 1420 (800:060) has a prerequisite of MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent.

Master of Arts Degree Programs

Major in Mathematics

The major in Mathematics is available in three emphases: Mathematics, Secondary Teaching, and Community College Teaching.

Only graduate courses (course numbers 5000 or above) will apply to a graduate degree, even if the undergraduate course number (4999 or less) is listed. No exceptions will be made.

The Mathematics emphasis is available on the thesis and non-thesis options. A minimum of 36 hours is required for the thesis option, including 6 hours of MATH 6299 (800:299) and a minimum of 15 additional hours of 200/6000-level course work. A minimum of 32 hours is required for the non-thesis option, including a minimum of 2 hours of MATH 6299 (800:299) and a minimum of 15 additional hours of 200/6000-level course work.

The Secondary Teaching emphasis is offered on a non-thesis option only; a minimum of 32 hours, including a minimum of 18 hours of 200/6000-level course work is required.

The Community College Teaching emphasis is offered on a non-thesis option only; a minimum of 33 hours, including a minimum of 15 hours of 200/6000-level course work is required.

Students interested in this program must submit a completed Application for Admission to Graduate Study and should contact the Department of Mathematics for other admission requirements. Graduate information and application for graduate admission can be found at www.grad.uni.edu/admission.

The Graduate Record Examination (General Test) is not required for admission to the program.

Courses taken to satisfy B.A. requirements may not be repeated to count toward the graduate program.

Successful completion of a final written comprehensive examination is required for the non-thesis option on the Mathematics emphasis only.

Mathematics Emphasis

Required
Mathematics:
MATH 3630/5630 (800:155g)Differential Geometry3
or MATH 4615/5615 (800:189g) Geometric Transformations
MATH 6420 (800:201)Mathematical Analysis I3
MATH 6460 (800:203)Complex Analysis I3
MATH 6500 (800:240)Abstract Algebra I3
Select at least two of the following:6
Mathematical Analysis II
Complex Analysis II
Abstract Algebra II
Research:2 or 6
MATH 6299 (800:299)Research *
Thesis option (6 hours)
Non-thesis option (2 hours)
Electives12
Mathematics:
Select 12 hours from any of the courses listed above that were not used for the requirements there or from among the following:
Topics in Actuarial Science
Differential Equations
Partial Differential Equations
Numerical Analysis
Combinatorics
History of Mathematics: To the Calculus
Introduction to Probability
Intermediate Mathematical Analysis II
Introduction to Complex Analysis
Modern Algebra II
Topology I
Introduction to Stochastic Processes
Theory of Numbers
Topics in the History of Mathematics
Topics in Mathematical Logic and Set Theory
Topics in Probability and Statistics
Introduction to Mathematical Statistics
Regression Analysis
Statistical Quality Assurance Methods
Applied Multivariate Statistical Analysis
Total hours thesis option36
Total hours non-thesis option32

 

Secondary Teaching Emphasis

The Secondary Teaching emphasis is designed for secondary school mathematics teachers interested in developing a deeper background in mathematics and pedagogy to enhance teaching and increase student learning.

Required
Mathematics Education:20
New Developments in Mathematics Education
Contemporary Assessment in Mathematics Education I
Contemporary Assessment in Mathematics Education II
Algebraic Content and Pedagogy for Teachers
Geometric Content and Pedagogy for Teachers
Reflective Teaching-Cognitive Demand of Mathematical Tasks
Reflective Teaching-Classroom Discourse
Reflective Teaching: Meaningful Distributed Instruction
Reflective Teaching: Leadership
Reflective Teaching: Investigation of Classroom Practice
Current Research in Mathematics Education
Mathematics:6
Applied Linear Statistical Methods for Secondary Mathematics Teachers
Foundations of Calculus
Select two courses from the following:6
Modern Algebra II
Abstract Algebra I
Probability and Statistics for Secondary Mathematics Teachers
Topics in Discrete Mathematics
Non-Euclidean Geometry
Total Hours32

 

Community College Teaching Emphasis

The Community College Teaching emphasis is designed to serve those seeking to prepare for a career in community college teaching or working professionals in the field who are seeking career advancement.

Required:
Mathematics Education:12
New Developments in Mathematics Education
Contemporary Assessment in Mathematics Education II
Reflective Teaching-Cognitive Demand of Mathematical Tasks
Reflective Teaching-Classroom Discourse
Reflective Teaching: Meaningful Distributed Instruction
Reflective Teaching: Leadership
Reflective Teaching: Investigation of Classroom Practice
Current Research in Mathematics Education
Mathematics:18
Modern Algebra II
Abstract Algebra I
Applied Linear Statistical Methods for Secondary Mathematics Teachers
Probability and Statistics for Secondary Mathematics Teachers
Foundations of Calculus
Topics in Discrete Mathematics
Non-Euclidean Geometry
Postsecondary Education:
POSTSEC 6260 (170:260)History and Philosophy of Higher Education3
Total Hours33

 

Major in Mathematics for the Middle Grades (4-8)

This major is intended for teachers interested in mathematics for the middle grades (4-8) and for mathematics specialists and supervisors. Teacher licensure is a prerequisite for completing the program approval process for this major. Normally, candidates will have at least 2 years teaching experience.

Students interested in this program must submit a completed Application for Admission to Graduate Study and should contact the Department of Mathematics for other admission requirements. Graduate information and application for graduate admission can be found at www.grad.uni.edu/admission.

The Graduate Record Examination (General Test) is not required for admission to the program.

Only graduate courses (course numbers 5000 or above) will apply to a graduate degree, even if the undergraduate course number (4999 or less) is listed. No exceptions will be made.

This major is available on the non-thesis option only; a minimum of 32 hours is required. A minimum of 15 hours of 200/6000-level course work is required.

Required
Mathematics:
MATH 6201 (800:220)New Developments in Mathematics Education3
MATH 6203 (800:222)Contemporary Assessment in Mathematics Education I2
MATH 6204 (800:191g)Contemporary Mathematics Curricula2
MATH 6205 (800:215)Teaching Rational Numbers and Proportionality3
MATH 6208Contemporary Assessment in Mathematics Education II1
MATH 6210 (800:237)Technology in Middle Grades Mathematics1
MATH 6212 (800:211)Algebraic Content and Pedagogy for Teachers3
MATH 6215Geometric Content and Pedagogy for Teachers3
MATH 6224 (800:236)Mathematics for the Middle Grades Teachers I3
MATH 6226 (800:238)Mathematics for the Middle Grades Teacher II3
MATH 6230Reflective Teaching-Cognitive Demand of Mathematical Tasks1
MATH 6231Reflective Teaching-Classroom Discourse 1
MATH 6232Reflective Teaching: Meaningful Distributed Instruction1
MATH 6234Reflective Teaching: Leadership1
MATH 6235Reflective Teaching: Investigation of Classroom Practice1
MATH 6381 (800:281)Current Research in Mathematics Education3
Total Hours32

 

Professional Science Master’s Degree Program

Major in Industrial Mathematics

The Professional Science Master’s Degree in Industrial Mathematics is designed to prepare students for a career in industry. The curriculum combines a business and experiential component with advanced course work. Requirements for admission to the program include the completion of a bachelor’s degree with a GPA of 3.00 or higher and successful completion of the following university-level courses:

Prerequisite Courses:
MATH 1420 (800:060)Calculus I4
MATH 1421 (800:061)Calculus II4
MATH 2422 (800:062)Calculus III4
MATH 2500 (800:076)Linear Algebra for Applications3
STAT 1772 (800:072)Introduction to Statistical Methods3
One course in computer programming (or equivalent):
CS 1130 (810:030)Visual BASIC Programming3
CS 1160 (810:036)C/C++ Programming3
CS 1510 (810:051)Introduction to Computing4

Graduate information and application for graduate admission can be found at www.grad.uni.edu/admission.

The Graduate Record Examination (General Test) is not required for admission to the program.

Only graduate courses (course numbers 5000 or above) will apply to a graduate degree, even if the undergraduate course number (4999 or less) is listed. No exceptions will be made.

This major is a non-thesis program. A minimum of 34 hours is required. A minimum of 12 hours of 200/6000-level course work is required.

No comprehensive examination is required for this non-thesis option.

This major requires completion of the business and experiential component, the seminar experience, the Mathematics core, the Actuarial Science core, and 9 hours of electives that do not duplicate course work chosen from the Actuarial Science core requirement. 

Required
Business and Experiential Component:9
Mathematics:
Industrial Internship/Project
Science and Science Education:
Business Management for Science Professionals
Seminar experience:1-2
Select one of the following:
MATH 6289 (800:289) Seminar in Lean and Six Sigma Methods in Industry
Professional Science Master's Seminar
Mathematics core:
MATH 6745 (800:250)Deterministic Operations Research3
MATH 6747 (800:252)Discrete-Event System Simulation3
Actuarial Science Core:9
Select three courses from the following:
Mathematics of Finance
Actuarial Mathematics
Topics in Actuarial Science
Loss Models
Introduction to Financial Engineering
Electives9
Marketing:
Marketing Strategy
Marketing Management
Management:
Strategic Planning and Organization Analysis
Cross-Functional Operations
Finance:
Corporation Finance
Principles of Investments
Financial Management and Markets
Technology:
Advanced CAD and Modeling
Mathematics:
Applied Statistical Methods for Research
Statistical Computing
Design and Analysis of Experiments
Geometric Modeling for CAD
Combinatorics
Mathematics of Finance
Differential Equations
Partial Differential Equations
Introduction to Probability
Actuarial Mathematics
Introduction to Stochastic Processes
Differential Geometry
Introduction to Complex Analysis
Statistical Quality Assurance Methods
Topics in Actuarial Science
Loss Models
Spatial Data Analysis
Introduction to Mathematical Statistics
Regression Analysis
Numerical Analysis
Applied Multivariate Statistical Analysis
Introduction to Financial Engineering
Probabilistic Operations Research
Modeling Industrial Systems Using Queueing Networks
Advanced Statistical Methods
Topics in Probability and Statistics
Computer Science:
Networking
Computer Systems
Physics:
Modeling and Simulation of Physical Systems
Total Hours34

 

Program Certificate

The University of Northern Iowa makes available, in addition to traditional programs, the opportunity for students to earn program certificates. Program certificates provide an alternative to programs leading to a degree, a major, or a minor; they certify that an individual has completed a program approved by the university. For information on the following program certificate, contact the Department of Mathematics or the Office of the Registrar, which serves as the centralized registry.

Certificate in Continuous Quality Improvement

The Continuous Quality Improvement certificate provides academic course work that covers all of the Body of Knowledge (BOK) on which the American Society for Control (ASQ) Six Sigma Black Belt certification examination is based, as well as the overwhelming majority of the BOK on which the ASQ Quality Engineer certification examination is based. The course work requirements are a subset of those required in the Continuous Quality Improvement emphasis of the Professional Science Master’s Degree in Industrial Mathematics. The certificate is awarded on successful completion of the following courses:

 

Required
Mathematics:
STAT 3771/5771 (800:121g)Applied Statistical Methods for Research3
STAT 4773/5773 (800:123g)Design and Analysis of Experiments3
STAT 4777/5777 (800:157g)Statistical Quality Assurance Methods3
MATH 6745 (800:250)Deterministic Operations Research3
STAT 6772 (800:272)Advanced Statistical Methods3
MATH 6289 (800:289) Seminar in Lean and Six Sigma Methods in Industry2
Total Hours17

 

B.A. Degree - Mathematics Major (Major Code 80B)

 

Freshman
FallHoursSpringHours
Social Science - Group A (1 Course)3Fine Arts3
University Electives6University Electives3
Writing And Reading3COMM 1000 (48C:001)3
MATH 1420 (800:060)4HUM 1021 (680:021)3
 MATH 1421 (800:061)4
 16 16
Sophomore
FallHoursSpringHours
University Electives3Mathematics elective as specified3
Physical Sciences3-4Social Science - Group B (1 Course)3
HUM 1022 (680:022)3University Electives6
MATH 2422 (800:062)4Life Sciences3-4
MATH 2500 (800:076)3 
 16-17 15-16
Junior
FallHoursSpringHours
Mathematics elective as specified3Mathematics elective as specified3
Non-Western Cultures3Social Science-Group C (1 Course In A,B, Or C3
Personal Wellness3University Electives6
University Electives3MATH 4501/5501 (800:162g)3
MATH 4500/5500 (800:160g)3 
 15 15
Senior
FallHoursSpringHours
Mathematics elective as specified3senior seminar/research1-3
MATH 4420/5420 (800:140g)3Literature, Philosophy Or Religion3
University Electives9University Electives6-9
 MATH 4421/5421 (800:141g)3
 15 13-18
Total credit hours: 121-128

 

B.A. Degree - Mathematics Teaching Major (Major Code 800)

 

Freshman
FallHoursSpringHours
Social Science - Group A (1 Course)3Life Sciences3-4
CS 11403COMM 1000 (48C:001)3
ENGLISH 1005 (620:005)3MATH 1310 (800:096)3
HUM 1021 (680:021)3MATH 1421 (800:061)4
MATH 1420 (800:060)4MATH 2500 (800:076)3
 16 16-17
Sophomore
FallHoursSpringHours
Fine Arts3Geometry MATH 3600 or 36103
Social Science - Group B (1 Course)3Non-Western Cultures3
EDPSYCH 2017 (200:017)1Physical Sciences3-4
EDPSYCH 2030 (200:030)3HPELS 1010 (440:010)3
MATH 2422 (800:062)4MATH 4500/5500 (800:160g)3
MATH 3530/5530 (800:143g)3 
 17 15-16
Junior
FallHoursSpringHours
Literature, Philosophy Or Religion3Perhaps MATH 4510 or MATH 45013
University Electives3University Electives3
EDPSYCH 3128 (200:128)1MATH 3303 (800:188)3
EDPSYCH 3148 (200:148)3SPED 3150 (220:150)2
MATH 3751 (800:173)3HUM 1022 (680:022)3
MATH 4615/5615 (800:189g)3TEACHING 4170/5170 (280:170g)3
MEASRES 3150 (250:150)2 
 18 17
Senior
FallHoursSpringHours
Social Science-Group C (1 Course In A,B, Or C3Student Teaching12
MATH 3304 (800:190)3 
MATH 3305 (800:183)3 
MATH 3640/5640 (800:180g)3 
SOCFOUND 3119 (260:119)3 
 15 12
Total credit hours: 126-128

 

 

B.A. Degree - Mathematics: Statistics/Actuarial Sciences Major (Major Code 80R)

 

Freshman
FallHoursSpringHours
STAT 1772 OR STAT 1774 (Intro Stat for Life Sciences OR Intro to Stats)3University Electives3
ECON 1041 (920:053)3COMM 1000 (48C:001)3
ENGLISH 1005 (620:005)3MATH 3780/5780 (800:145g)3
MGMT 2080 (150:080)3ECON 1051 (920:054)3
MATH 1420 (800:060)4MATH 1421 (800:061)4
 16 16
Sophomore
FallHoursSpringHours
ECON 1011 (BusStat) or STAT 3771 (ApplStatMeth)3Humanities3
Humanities3Life Sciences3-4
ACCT 2120 (120:030)3Visual BASIC recommended3-4
MATH 2422 (800:062)4MATH 2500 (800:076)3
MATH 3752/5752 (800:152g)3STAT 3775/5775 (800:174g)3
 16 15-17
Junior
FallHoursSpringHours
Sociocultural And Historical Perspectives3Physical Sciences3-4
University Electives3ACT SCI 4739/5739 (800:158g)3
ACT SCI 4735/5735 (800:153g)3ACT SCI 4785/5785 (800:197g)3
FIN 3130/5130 (160:151g)3FIN 3160/5160 (160:152g)3
STAT 3776/5776 (800:175g)3MKTG 2110 (130:101)3
 15 15-16
Senior
FallHoursSpringHours
Capstone Experience2Literature, Philosophy Or Religion3
Fine Arts3Non-Western Cultures3
ACT SCI 4788/5788 (800:170g)3Social Science-Group C (1 Course In A,B, Or C3
FIN 3050 (160:162)3FIN 3135 (160:161)3
HPELS 1010 (440:010)3MATH 4900 (800:194)3
MGMT 3100 (150:100)3MGMT 3153 (150:153)3
 17 18
Total credit hours: 128-131

 

Actuarial Science Courses

ACT SCI 3731 (800:146). Actuarial Examination Preparation — 1-3 hrs.

Strengthening student skills solving computational problems similar to those included on actuarial examinations. Analyzing and practicing appropriate choice of problem solving techniques and strategies. May be repeated for credit for preparation for different examinations. (Fall, Spring)

ACT SCI 3780/5780 (800:145g). Mathematics of Finance — 3 hrs.

Measurement of interest, annuities, yield rates, amortization and sinking funds, bonds, term structure of interest rates, interest rate sensitivity, stocks and derivatives, elements of risk management. Prerequisite(s): MATH 1420 (800:060) (800:060); junior standing. (Same as MATH 3780/5780 (800:145g))(Fall, Spring)

ACT SCI 4735/5735 (800:153g). Actuarial Mathematics — 3 hrs.

Survival distributions and life tables, life insurance, life annuities, benefit premiums. Prerequisite(s): MATH 3752/5752 (800:152g); junior standing. (Even Falls)

ACT SCI 4739/5739 (800:158g). Topics in Actuarial Science — 3 hrs.

Topics from mathematics of life contingencies, risk theory, survival analysis, construction of actuarial tables, demography, gradation. May be repeated on different topic with consent of instructor. Prerequisite(s): MATH 3752/5752 (800:152g); junior standing; consent of instructor. (Spring)

ACT SCI 4785/5785 (800:197g). Introduction to Financial Engineering — 3 hrs.

Financial derivatives, option pricing, Binomial model, Black-Scholes formula, Greeks and hedging, introduction to stochastic calculus, financial model simulation, Monte-Carlo valuation. Prerequisite(s): MATH 3752/5752 (800:152g); junior standing. (Spring)

ACT SCI 4788/5788 (800:170g). Loss Models — 3 hrs.

Applied probability methods used in modeling loss. Loss distributions, aggregate loss models, credibility theory and long term models. Prerequisite(s): MATH 3752/5752 (800:152g); STAT 3775/5775 (800:174g); junior standing. (Odd Falls)

Mathematics Courses

MATH 0100 (800:004). Intermediate Algebra — 3 hrs.

Fundamental mathematical concepts; functions and graphs; solutions of equations; systems of equations and inequalities; matrices and determinants. Successful completion will satisfy the university's high school mathematics requirement. Does not count toward minimum hours required for baccalaureate degree. (Fall)

MATH 1100 (800:023). Mathematics in Decision Making — 3 hrs.

Selection of mathematical topics and their applications with an emphasis on mathematical reasoning. Topics include probability and statistics. (Fall, Spring, Summer)

MATH 1110 (800:043). Analysis for Business Students — 3 hrs.

Analysis and interpretation of data using numerical, graphical, and functional viewpoints; linear and exponential functions; modeling data using functions. No credit for students with credit in MATH 1140 (800:046) or MATH 1120 (800:056). (Fall, Spring)

MATH 1120 (800:056). Mathematics for Biological Sciences — 3 hrs.

Proportional reasoning, linear functions and linear regression, exponential functions, and logarithmic functions with scientific applications. No credit for students with credit in MATH 1110 (800:043) or MATH 1140 (800:046). (Fall, Spring)

MATH 1130 (800:044). Trigonometry — 2 hrs.

Trigonometric functions, solution of triangles and applications of simple harmonic motions, polar coordinates, and vectors. No credit for students with credit in MATH 1140 (800:046). (Fall, Spring)

MATH 1140 (800:046). Precalculus — 4 hrs.

Pre-calculus mathematics; equations and inequalities; logarithms, exponential and circular functions; analytic trigonometry, analytic geometry, mathematical induction; applications. Credit reduced to 1 hour for students with credit in MATH 1110 (800:043) or MATH 1120 (800:056), and to 2 hours for students with credit in MATH 1130 (800:044). (Fall, Spring)

MATH 1150 (800:048). Calculus for Technology — 4 hrs.

Survey of analytic geometry and elementary calculus with emphasis on applications. May not be applied to Mathematics major or minor. Prerequisite(s): MATH 1140 (800:046) or consent of instructor. (Spring)

MATH 1201 (800:031). Mathematical Reasoning for Teaching I — 3 hrs.

Mathematics as problem solving, communication, connections, and reasoning. Includes rational numbers, data and statistical reasoning, probabilistic reasoning. Activities investigating these topics connect to elementary school mathematics. Primarily for education majors. (Fall, Spring)

MATH 1210 (800:037). Technology for Elementary School Mathematics Teachers — 3 hrs.

Survey of technologies used to develop mathematical thinking in elementary grades. Technologies addressed include calculators, LOGO, spreadsheets, Geometer's Sketchpad, other educational software, and the Internet. (Fall, Spring)

MATH 1300 (800:095). Exploring Mathematics Teaching — 1 hr.

Exploration of mathematics teaching with well-qualified teacher speakers, classroom discussions about innovative teaching, student learning and teaching as a profession. A brief field experience will be included. (Fall, Spring)

MATH 1310 (800:096). Technology and Programming for Secondary Mathematics Teachers — 3 hrs.

Introduction to technologies (calculators, spreadsheets, and dynamic geometric and statistical programs) used in mathematics classrooms (5-12). Activities to develop facility with the technologies and programming skills while addressing mathematics and pedagogical implications. Prerequisite(s) or corequisite(s): MATH 1420 (800:060). (Spring)

MATH 1420 (800:060). Calculus I — 4 hrs.

The derivatives and integrals of elementary functions and their applications. Prerequisite(s): MATH 1140 (800:046), or MATH 1110 (800:043) and MATH 1130 (800:044), or equivalent. (Fall, Spring)

MATH 1421 (800:061). Calculus II — 4 hrs.

Continuation of MATH 1420 (800:060). Prerequisite(s): C- or better in MATH 1420 (800:060). (Fall, Spring)

MATH 1900 (800:090). Mathematical Problem Solving — 1 hr.

Basic techniques used to solve challenging mathematics problems. Problems considered will come from a broad range of courses. Prepares students to take the William Lowell Putnam Examination and the Iowa Collegiate Mathematics Competition. May be repeated. (Fall, Spring)

MATH 2422 (800:062). Calculus III — 4 hrs.

Continuation of MATH 1421 (800:061). Prerequisite(s): C- or better in MATH 1421 (800:061). (Fall, Spring)

MATH 2500 (800:076). Linear Algebra for Applications — 3 hrs.

Gaussian elimination; matrix algebra; vector spaces, kernels, and other subspaces; orthogonal projection; eigenvalues and eigenvectors. Prerequisite(s): MATH 1420 (800:060). (Fall, Spring)

MATH 3202 (800:131). Mathematical Reasoning for Teaching II — 3 hrs.

Mathematics as problem solving, communication, connections, and reasoning. Includes geometry, measurement, proportional reasoning, percent. Activities connected to elementary school mathematics. Designed for elementary education majors. Prerequisite(s): MATH 1201 (800:031); UNI and cumulative GPA of 2.50 or better; junior standing or consent of department. (Fall, Spring)

MATH 3203 (800:134). Teaching Mathematics in the Elementary School — 3 hrs.

Effective instructional models and strategies for teaching elementary school mathematics; involves selecting and designing mathematical tasks, creating an environment, and orchestrating discourse. Using and supplementing mathematics materials within a sound psychological framework for making instructional decisions. Prerequisite(s): MATH 3202 (800:131); UNI and cumulative GPA of 2.50 or better; full admission to teacher education is required. (Fall, Spring, Summer)

MATH 3211 (800:111g). Introduction to Algebraic Thinking for Elementary Teachers — 4 hrs.

Investigation of problems involving patterns, variables, relations, functions, and their graphs. Exploration and representation of these problems using physical models and technology. Prerequisite(s): MATH 1201 (800:031). (Fall, Spring)

MATH 3212/5212 (800:112g). Introduction to Geometry and Measurement for Elementary Teachers — 3 hrs.

Van Hiele levels of thinking. Investigation of two- and three-dimensional concepts, rigid transformations, symmetry, and spatial sense. Prerequisite(s): MATH 1201 (800:031); MATH 1210 (800:037); MATH 3202 (800:131); junior standing. (Fall, Spring)

MATH 3213/5213 (800:113g). Topics in Mathematics for Grades K-8 — 3 hrs.

Investigation of number theory, extending ratio, proportion and probability with connections to rational numbers, algebra and geometry. Reasoning about topics in the context of the K-8 mathematics curriculum. Prerequisite(s): MATH 1201 (800:031); MATH 1210 (800:037); MATH 3202 (800:131); junior standing. (Fall, Spring)

MATH 3214/5214 (800:114g). Problem Solving in Mathematics for Elementary Teachers — 4 hrs.

Strategies for constructing and communicating a mathematics problem-solving process. Analysis of resources and strategies to generate mathematics tasks and to create an effective problem-solving environment. Problem solving as a means of constructing mathematics knowledge. Prerequisite(s): MATH 3203 (800:134); at least one of MATH 3211 (800:111g), MATH 3212/5212 (800:112g), MATH 3213/5213 (800:113g); junior standing. (Fall, Spring)

MATH 3215 (800:192). Mathematics for Elementary Students with Special Needs — 1 hr.

Assessing, designing, and providing appropriate mathematical tasks for students with special needs. Prerequisite(s): MATH 3203 (800:134) or MATH 3304 (800:190). (Fall, Spring)

MATH 3303 (800:188). The Teaching of Middle School/Junior High Mathematics — 3 hrs.

Teaching strategies for grades 5-8; roles of content and methods; participation in a middle school/junior high teaching situation. Prerequisite(s): EDPSYCH 3128 (200:128); EDPSYCH 3148 (200:148); 6 hours of 100/3000/4000-level courses in mathematics. (Spring)

MATH 3304 (800:190). The Teaching of Secondary Mathematics — 3 hrs.

Teaching strategies for grades 5-12; roles of content and methods; participation in a secondary teaching situation. Prerequisite(s): EDPSYCH 3128 (200:128); EDPSYCH 3148 (200:148); MEASRES 3150 (250:150); MATH 4500/5500 (800:160g); MATH 3610/5610 (800:165g) or MATH 3600/5600 (800:166g); MATH 3303 (800:188). (Fall)

MATH 3305 (800:183). Connections: University Mathematics and the Secondary Curriculum — 3 hrs.

Connections between the undergraduate mathematics major and the secondary mathematics curriculum. Consideration of modern algebra, modern geometry, probability and statistics, calculus and number theory in the context of the secondary mathematics curriculum. Prerequisite(s): 6 hours of 100/3000/4000-level courses in mathematics. Corequisite(s): EDPSYCH 3148 (200:148); MEASRES 3150 (250:150). Prerequisite(s) or corequisite(s): EDPSYCH 2017 (200:017); EDPSYCH 2030 (200:030); EDPSYCH 3128 (200:128); MATH 3303 (800:188). (Spring)

MATH 3410/5410 (800:142g). Dynamical Systems: Chaos Theory and Fractals — 3 hrs.

Historical background, including examples of dynamical systems; orbits, fixed points, and periodic points; one-dimensional and two-dimensional chaos; fractals: Julia sets, the Mandelbrot set, and fractal dimension; computer programs and dynamical systems. Prerequisite(s): MATH 1421 (800:061); MATH 2500 (800:076); junior standing. (Variable)

MATH 3425/5425 (800:149g). Differential Equations — 3 hrs.

Elementary theory and applications of first order differential equations; introduction to numerical techniques of solving differential equations; solutions of nth order linear differential equations with constant coefficients. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076); junior standing. (Fall)

MATH 3430/5430 (800:150g). Partial Differential Equations — 3 hrs.

Study of applied partial differential equations using heat, wave, and potential equations as basis; Fourier series and integrals; Laplace transformations. Prerequisite(s): MATH 3425/5425 (800:149g); junior standing. (Even Springs)

MATH 3440/5440 (800:176g). Numerical Analysis — 3 hrs.

Theory and application of standard numerical techniques dealing with nonlinear equations, systems of linear equations, interpolation and approximation, numerical differentiation and integration. Prerequisite(s): MATH 1421 (800:061); MATH 2500 (800:076); CS 1130 (810:030) or CS 1160 (810:036) or CS 1510 (810:051) or equivalent; junior standing. (Odd Falls)

MATH 3530/5530 (800:143g). Combinatorics — 3 hrs.

Various ways to enumerate elements of a set and graph theory. Appropriate for mathematics, mathematics education, computer science, and actuarial science students. Prerequisite(s): MATH 1420 (800:060) or CS 1800 (810:080); junior standing. (Fall, Spring)

MATH 3600/5600 (800:166g). Euclidean Geometry — 3 hrs.

Topics of plane geometry beyond a first course; compass and straightedge constructions, the nine-point circle, Ceva's and Menelaus' theorems, triangle centers, conics, and tessellations. Prerequisite(s): MATH 1420 (800:060) or equivalent; junior standing. (Fall)

MATH 3610/5610 (800:165g). Modern Geometries — 3 hrs.

Euclid's postulates serve as a model for studying various axiomatic systems defining incidence geometries. Geometries include finite geometries, plane geometry, neutral geometry, taxicab geometry, spherical geometry, and hyperbolic geometry. Prerequisite(s): MATH 1420 (800:060) or equivalent; junior standing. (Spring)

MATH 3630/5630 (800:155g). Differential Geometry — 3 hrs.

Analytic study of curves and surfaces in three-dimensional Euclidean space. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076); junior standing. (Odd Springs)

MATH 3640/5640 (800:180g). History of Mathematics: To the Calculus — 3 hrs.

Survey of mathematical activities of humankind in numeration and number systems, algebra, and number theory, from pre-history through the present day. Motives, influences, and methods affecting development of these mathematical topics in Mesopotamian, Egyptian, Greek, Islamic, Indian, Chinese, Native American, and Western civilizations. Ethnomathematics as related to these topics. Prerequisite(s): junior standing. (Fall)

MATH 3751 (800:173). Probability and Statistics — 3 hrs.

Descriptive statistics and graphical representations, basic concepts of probability and distributions, random variables, expectations, sampling theory, tests of statistical significance. Calculus is employed in developing and applying these ideas. Specific attention devoted to the use of technology in motivating and explaining concepts and techniques. Emphasis on applications appropriate for secondary school probability/statistics courses. No credit with credit in STAT 3770/5770 (800:172g). Prerequisite(s): MATH 1421 (800:061). (Same as STAT 3751)(Fall and Even Springs)

MATH 3752/5752 (800:152g). Introduction to Probability — 3 hrs.

Axioms of probability, sample spaces having equally likely outcomes, conditional probability and independence, random variables, expectation, moment generating functions, jointly distributed random variables, weak law of large numbers, central limit theorem. Prerequisite(s): MATH 1421 (800:061); junior standing. (Same as STAT 3752/5752 (800:152g))(Fall, Spring)

MATH 3780/5780 (800:145g). Mathematics of Finance — 3 hrs.

Measurement of interest, annuities, yield rates, amortization and sinking funds, bonds, term structure of interest rates, interest rate sensitivity, stocks and derivatives, elements of risk management. Prerequisite(s): MATH 1420 (800:060); junior standing. (Same as ACT SCI 3780/5780 (800:145g))(Fall, Spring)

MATH 4198 (800:198). Independent Study.

(Variable)

MATH 4420/5420 (800:140g). Intermediate Mathematical Analysis I — 3 hrs.

Algebraic and topological structure of the reals; limits and continuity; theory of differentiability of functions of a single real variable. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076); junior standing. (Even Falls)

MATH 4421/5421 (800:141g). Intermediate Mathematical Analysis II — 3 hrs.

Riemann integration; sequences and series of functions; introduction to Lebesgue integration. Prerequisite(s): MATH 4420/5420 (800:140g); junior standing. (Odd Springs)

MATH 4460/5460 (800:156g). Introduction to Complex Analysis — 3 hrs.

Differentiation and integration of functions of a single complex variable; Taylor and Laurent expansions; conformal mapping. Prerequisite(s): MATH 2422 (800:062); junior standing. (Even Springs)

MATH 4500/5500 (800:160g). Modern Algebra I — 3 hrs.

Introduction to study of algebraic systems. Groups, rings, fields, homomorphisms and isomorphisms. Prerequisite(s): MATH 1421 (800:061) or equivalent; MATH 2500 (800:076); junior standing. (Fall, Spring)

MATH 4501/5501 (800:162g). Modern Algebra II — 3 hrs.

Basic properties of rings, integral domains and fields. Polynomials over fields, field extensions, straightedge and compass constructions. Prerequisite(s): MATH 4500/5500 (800:160g); junior standing. (Spring)

MATH 4510/5510 (800:144g). Elementary Number Theory — 3 hrs.

Topics from properties of integers, prime numbers, congruences, cryptography, Pythagorean triples, Diophantine equations, Fermat's last theorem, Fibonacci numbers, and the golden rectangle. Also, number theoretic connections to abstract algebra. Prerequisite(s): MATH 4500/5500 (800:160g); junior standing. (Odd Falls and Spring)

MATH 4615/5615 (800:189g). Geometric Transformations — 3 hrs.

Isometries of the plane in context of Klein's definition of a geometry as a group acting on a set of points. Rotations, reflections, and translations are used to study congruence, similarity, and symmetry and to solve problems that would otherwise be difficult using analytic geometry and calculus. Prerequisite(s): MATH 2500 (800:076); MATH 3610/5610 (800:165g) or MATH 3600/5600 (800:166g); junior standing. (Fall)

MATH 4641/5641 (800:167g). Topology I — 3 hrs.

Introductory study of metric spaces, completeness, topological spaces, continuous functions, compactness, connectedness, separability, product, and quotient spaces. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076); junior standing. (Even Falls)

MATH 4742/5742 (800:125g). Geometric Modeling for CAD — 3 hrs.

B-spline curves and surfaces, Bezier curves and surfaces, NURBS, curve and surface design, multi-resolution methods, subdivision/refinement methods, scattered data fitting, mesh generation, solid representation, solid modeling. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076); junior standing. (Variable)

MATH 4754/5754 (800:154g). Introduction to Stochastic Processes — 3 hrs.

Markov chains, Poisson processes, continuous time Markov chains, renewal processes, Brownian motion and stationary processes. Prerequisite(s): MATH 3752/5752 (800:152g); junior standing. (Same as STAT 4754/5754 (800:154g))(Fall)

MATH 4900 (800:194). Senior Mathematics Seminar — 1 hr.

Researching and writing a paper exploring specific theme, topic, or problem in mathematics, culminating with oral presentation to the class. Prerequisite(s): senior mathematics major. (Fall, Spring)

MATH 4990 (800:195). Undergraduate Research in Mathematics — 3 hrs.

Research on selected topic in mathematics with faculty supervision. Presentation of written paper at departmental seminar. Prerequisite(s): completion of the major core with minimum GPA of 3.00. (Fall, Spring)

MATH 6201 (800:220). New Developments in Mathematics Education — 3 hrs.

Introduce current recommendations and policies regarding mathematics goals, content, frameworks, instructional strategies, and curricula. Investigate topics and documents with a focus on application and impact to classrooms. Prerequisite(s): consent of department. (Variable)

MATH 6203 (800:222). Contemporary Assessment in Mathematics Education I — 2 hrs.

Study of strategies and practices for assessing students' thinking and performance. Multiple forms of quality assessment with an emphasis on formative assessment, aligning assessment to instruction, and interpreting evidence. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6204 (800:191g). Contemporary Mathematics Curricula — 2 hrs.

Study and evaluation of innovative curriculum materials. Focus on application to classroom practice and planning for change for a selected topic. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6205 (800:215). Teaching Rational Numbers and Proportionality — 3 hrs.

Examination of literature, problems, and issues related to teaching fractions, decimals, ratios, proportion, and percent. Exploration of innovative strategies for developing concepts, skills, and proportional reasoning. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6207 (800:221). Mathematics Literacy in an Information Age — 2 hrs.

Examination of applications and contributions of mathematics to other disciplines, the workplace, personal lives, and society. Investigation of shifting conceptions of mathematics and mathematics literacy in today's world. Diverse uses of mathematics illustrated. Prerequisite(s): MATH 6201 (800:220); MATH 6224 (800:236); MATH 6226 (800:238). (Variable)

MATH 6208. Contemporary Assessment in Mathematics Education II — 1 hr.

Focus on assessment design for classroom use and development of an assessment scheme. Prerequisite(s): MATH 6201 (800:220) or consent of department. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6210 (800:237). Technology in Middle Grades Mathematics — 1 hr.

Uses of technology in teaching and learning mathematics. Examination of research related to incorporating technology in the teaching of mathematics. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6212 (800:211). Algebraic Content and Pedagogy for Teachers — 3 hrs.

Examine algebraic standards, content, instructional strategies and curricula. Focus on application and impact on classroom practice, planning, and assessment in algebra. Focus on change in one's teaching and curriculum. Prerequisite(s): consent of department. (Summer)

MATH 6213 (800:213). Selected Topics in Mathematics for the Middle Grades — 2 hrs.

Investigation of mathematical topic(s), such as geometry, data analysis, probability, or number sense. Examination of a major mathematical idea including implications of research literature, and examination of relevant curriculum materials. May be repeated once on a different topic with consent of department. Prerequisite(s): consent of department. (Variable)

MATH 6214 (800:214). Mathematical Problem Solving in the Middle Grades — 1 hr.

Solving problems from a variety of mathematical topics such as linear programming, geometry, and probability. Analyzing problem-solving techniques and teaching strategies. Investigating issues related to implementing a problem-solving approach in the classroom. (Variable)

MATH 6215. Geometric Content and Pedagogy for Teachers — 3 hrs.

Examine geometric standards, content, methods and curricula. Analyze student thinking, examine van Hiele levels and expand conceptions of proof. Focus on impact on one's own practice, planning and assessment. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6224 (800:236). Mathematics for the Middle Grades Teachers I — 3 hrs.

Integrated, historical, and cultural study of development and structure of quantity, data, and chance. Focus on mathematical ways of knowing and verification. (Variable)

MATH 6226 (800:238). Mathematics for the Middle Grades Teacher II — 3 hrs.

Integrated, historical, and cultural study of development and structure of patterns, functions, relationships, and shapes. Focus on ways of knowing and verification. Prerequisite(s): MATH 6224 (800:236). (Variable)

MATH 6230. Reflective Teaching-Cognitive Demand of Mathematical Tasks — 1 hr.

Students will critically reflect on classroom practice with the focus on cognitive demand of mathematical tasks. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6231. Reflective Teaching-Classroom Discourse — 1 hr.

Students will critically reflect on classroom practice with the focus on classroom discourse. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6232. Reflective Teaching: Meaningful Distributed Instruction — 1 hr.

Students will critically reflect on classroom practice with the focus on meaningful distributed instruction. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6234. Reflective Teaching: Leadership — 1 hr.

Students will critically reflect on classroom practice with the focus on leadership in mathematics education. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6235. Reflective Teaching: Investigation of Classroom Practice — 1 hr.

Students will critically reflect on classroom practice with the focus on instruction. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6299 (800:299). Research.

(Variable)

MATH 6370 (800:270). Applied Linear Statistical Methods for Secondary Mathematics Teachers — 3 hrs.

Elements of experimental design. Statistical inferential processes, confidence intervals and hypothesis tests, for comparing means, medians and proportions from multiple groups. Prerequisite(s): STAT 1772 (800:072), MATH 3751 (800:173) or consent of instructor. (Fall, Spring)

MATH 6371 (800:271). Probability and Statistics for Secondary Mathematics Teachers — 3 hrs.

Discrete and continuous random variables, central limit theorem, regression, correlation, analysis of covariance and categorical data analysis. Multiple regression, ANOVA and categorical data analysis will provide students with tools to analyze real data sets. Prerequisite(s): STAT 1772 (800:072) or MATH 3751 (800:173) or consent of instructor. (Variable)

MATH 6380 (800:280). Mathematics at the Secondary Level — 1-3 hrs.

History of secondary mathematics in the U.S. Overview of the most recent reform movement in mathematics education; its effect on the teaching and learning of high school mathematics. May be repeated on different topics for up to 3 hours of credit. Prerequisite(s): graduate standing in mathematics. (Variable)

MATH 6381 (800:281). Current Research in Mathematics Education — 3 hrs.

Understand purposes and methods of research in math education with a focus on action research. Review mathematics education research and its implications for instruction. Conduct a classroom-based action research project. Prerequisite(s): MATH 6201 (800:220) or consent of department. (Variable)

MATH 6391 (800:291). Problems and Issues in Teaching High School Mathematics — 3 hrs.

Course content decided by participants and instructor. Consideration of both mathematics content and methodology of the senior high school. Prerequisite(s): consent of department. (Variable)

MATH 6393 (800:293). The Secondary School Mathematics Curriculum — 3 hrs.

Comparison of current secondary curriculum with national standards, implementation, assessment, and the role of technology. (Variable)

MATH 6410. Foundations of Calculus — 3 hrs.

Fundamentals of Calculus from the viewpoint of exploring reasons for the details that support Differential and Integral Calculus. Emphases on examples and proving justifications for a variety of mathematical statements. (Variable)

MATH 6420 (800:201). Mathematical Analysis I — 3 hrs.

Set theory; the real number system; Lebesque measure; Lebesque integral. Prerequisite(s): MATH 4420/5420 (800:140g). Corequisite(s): MATH 4421/5421 (800:141g) or consent of instructor. (Odd Springs)

MATH 6421 (800:202). Mathematical Analysis II — 3 hrs.

Differentiation and integration; classical Banach spaces; metric spaces; general measure and integration theory. Prerequisite(s): MATH 6420 (800:201). (Spring)

MATH 6460 (800:203). Complex Analysis I — 3 hrs.

Analyticity; differentiation and integration of functions of one complex variable; power series, Laurent series; calculus of residues. Prerequisite(s): MATH 4420/5420 (800:140g); MATH 4460/5460 (800:156g); or consent of instructor. (Spring)

MATH 6461 (800:204). Complex Analysis II — 3 hrs.

Analytic continuation; harmonic functions; entire functions; conformal mapping; selected applications. Prerequisite(s): MATH 6460 (800:203). (Variable)

MATH 6500 (800:240). Abstract Algebra I — 3 hrs.

Groups: quotient groups, isomorphism theorems, products of groups, group actions, Sylow theorems, solvable and nilpotent groups. Rings and fields: quotient rings, rings of polynomials, integral domains, fields of fractions. Prerequisite(s): MATH 4500/5500 (800:160g). Corequisite(s): MATH 4501/5501 (800:162g) or consent of instructor. (Fall)

MATH 6501 (800:241). Abstract Algebra II — 3 hrs.

Rings: arithmetic properties, prime and maximal ideals, Noetherian rings. Modules and vector spaces: linear transformations, free modules, finitely generated modules over PIDs, canonical forms. Fields: field extensions, Galois theory, solvability by radicals. Prerequisite(s): MATH 6500 (800:240) (Spring)

MATH 6510 (800:210). Theory of Numbers — 3 hrs.

Mathematical study of integers: induction, divisibility, prime numbers, congruences, quadratic reciprocity, multiplicative functions. (Variable)

MATH 6530 (800:243). Topics in Discrete Mathematics — 3 hrs.

Topics from combinatorics, graph theory, analysis and application of algorithms, recurrence relations, difference equations, linear programming, and mathematical induction. Applications of these topics in the secondary curriculum. Prerequisite(s): MATH 3530/5530 (800:143g) or MATH 4500/5500 (800:160g). (Variable)

MATH 6640 (800:246). Topics in the History of Mathematics — 3 hrs.

Topics from history of algebra, analysis, arithmetic, geometry, number theory, probability, and topology as they appear in the development of Mesopotamian, Greek, Islamic, Indian, Chinese, and Western civilizations. May be repeated on different topic with consent of instructor. Prerequisite(s): MATH 3640/5640 (800:180g). (Variable)

MATH 6650 (800:263). Topics in Mathematical Logic and Set Theory — 3 hrs.

Topics from the predicate calculus and first-order mathematical theories; the Godel completeness and incompleteness theorems; algebraic and many-valued logic; Boolean algebras, lattices, representation theorems, and models in set theory and mathematical logic; independence of the axioms of set theory (including the axiom of choice and the continuum hypothesis). May be repeated on different topic with consent of instructor. (Variable)

MATH 6670 (800:267). Non-Euclidean Geometry — 3 hrs.

Historical development of geometry models that do not assume Euclid's fifth postulate. Emphasis on Poincare's disc and upper half-plane models, distance and area in the hyperbolic plane, and Mobius transformations. Prerequisite(s): MATH 2500 (800:076); MATH 4500/5500 (800:160g); MATH 3610/5610 (800:165g) or MATH 3600/5600 (800:166g). (Variable)

MATH 6745 (800:250). Deterministic Operations Research — 3 hrs.

Overview of optimization models, mathematical programming (linear, integer, goal), optimization software LINGO, transportation and assignment problems, network models (shortest-path, maximum-flow), multi-period planning problems. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076). (Fall, Spring)

MATH 6746 (800:251). Probabilistic Operations Research — 3 hrs.

Decision making under uncertainty, Markov chains, deterministic and probabilistic dynamic programming, inventory control, production scheduling, supply chain management, portfolio optimizations. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076), MATH 3752/5752 (800:152g). (Same as STAT 6746)(Fall, Spring)

MATH 6747 (800:252). Discrete-Event System Simulation — 3 hrs.

Discrete-event systems simulation theory including input analysis, output analysis; applications of simulation software ARENA to studying performances of systems such as bank services, call centers, material-handling systems, and computer networks. Prerequisite(s): MATH 2422 (800:062); STAT 1772 (800:072). (Same as STAT 6747)(Fall, Spring)

MATH 6748 (800:253). Modeling Industrial Systems Using Queueing Networks — 3 hrs.

Queueing networks, applications to modeling and evaluating industrial systems such as flexible manufacturing systems, pull-type production systems, polling systems in computer networks, handoff schemes in cellular mobile networks; computational package MATLAB. Prerequisite(s): MATH 2422 (800:062); MATH 2500 (800:076); MATH 3752/5752 (800:152g). (Same as STAT 6748)(Fall, Spring)

MATH 6779 (800:273). Topics in Probability and Statistics — 3 hrs.

Topics from correlation and regression analysis, analysis of variance and co-variance, non-parametric methods, order statistics. May be repeated on different topic with consent of instructor. Prerequisite(s): consent of instructor. (Same as STAT 6779)(Variable)

MATH 6795 (800:275). Industrial Internship/Project — 6 hrs.

Mathematical analysis of industrial problems. Features work on a project of interest to a cooperating company. Oral and written reports required on the project. Prerequisite(s): approval of graduate coordinator and admittance to the P.S.M. program. (Variable)

Statistics Courses

STAT 1772 (800:072). Introduction to Statistical Methods — 3 hrs.

Descriptive statistics including correlation and curve fitting. Intuitive treatment of probability and inferential statistics including estimations and hypothesis testing. No credit for students with credit in STAT 1774 (800:064). Students with credit in STAT 3770/5770 (800:172g) should not enroll in STAT 1772 (800:072). (Fall, Spring, Summer)

STAT 1774 (800:064). Introductory Statistics for Life Sciences — 3 hrs.

Descriptive statistics, basic probability concepts, confidence intervals, hypothesis testing, correlation and regression, elementary concepts of survival analysis. No credit for students with credit in STAT 1772 (800:072). (Fall, Spring)

STAT 3751. Probability and Statistics — 3 hrs.

Descriptive statistics and graphical representations, basic concepts of probability and distributions, random variables, expectations, sampling theory, tests of statistical significance. Calculus is employed in developing and applying these ideas. Specific attention devoted to the use of technology in motivating and explaining concepts and techniques. Emphasis on applications appropriate for secondary school probability/statistics courses. No credit with credit in STAT 3770/5770 (800:172g)/5770 (800:172g). Prerequisite(s): MATH 1421 (800:061) (800:061). (Same as MATH 3751 (800:173))(Fall and Even Springs)

STAT 3752/5752 (800:152g). Introduction to Probability — 3 hrs.

Axioms of probability, sample spaces having equally likely outcomes, conditional probability and independence, random variables, expectation, moment generating functions, jointly distributed random variables, weak law of large numbers, central limit theorem. Prerequisite(s): MATH 1421 (800:061) (800:061); junior standing. (Same as MATH 3752/5752 (800:152g))(Fall, Spring)

STAT 3770/5770 (800:172g). Statistical Methods — 3 hrs.

Descriptive statistics; elementary probability; estimation and hypothesis testing from an intuitive approach; use of statistical packages. No credit for students who have credit in STAT 1774 (800:064), STAT 1772 (800:072), or STAT 3775/5775 (800:174g). Prerequisite(s): junior standing. (Variable)

STAT 3771/5771 (800:121g). Applied Statistical Methods for Research — 3 hrs.

Inference about two or more population variances, multiple comparisons, categorical data analysis, linear and logistic regression, design of experiments, analysis of variance and covariance, repeated measures and random effects. Prerequisite(s): STAT 1774 (800:064) or STAT 1772 (800:072); junior standing. (Fall, Spring)

STAT 3775/5775 (800:174g). Introduction to Mathematical Statistics — 3 hrs.

Sampling distribution theory, point and interval estimation, Bayesian estimation, statistical hypotheses including likelihood ratio tests and chi-square tests, selected nonparametric methods. Prerequisite(s): MATH 2422 (800:062); MATH 3752/5752 (800:152g); junior standing. (Spring)

STAT 3776/5776 (800:175g). Regression Analysis — 3 hrs.

Regression analysis, analysis of variance, time series methods. Prerequisite(s): STAT 3775/5775 (800:174g); junior standing. (Fall)

STAT 3778/5778 (800:171g). Spatial Data Analysis — 3 hrs.

Analysis and interpretation of spatial point processes, area, geostatistical and spatial interaction data. Applications to geographic data in real estate, biology, environmental, and agricultural sciences using S-Plus software. Prerequisite(s): STAT 1774 (800:064) or STAT 1772 (800:072) or SOC 2020 (980:080); junior standing. (Same as GEOG 4340/5340 (970:160g))(Odd Springs)

STAT 4754/5754 (800:154g). Introduction to Stochastic Processes — 3 hrs.

Markov chains, Poisson processes, continuous time Markov chains, renewal processes, Brownian motion and stationary processes. Prerequisite(s): MATH 3752/5752 (800:152g)/5752 (800:152g); junior standing. (Same as MATH 4754/5754 (800:154g))(Fall)

STAT 4772/5772 (800:122g). Statistical Computing — 3 hrs.

Use of statistical software such as SAS, SPSS, S-Plus, Minitab. Data management, graphical techniques and data analysis, computer-intensive statistical methods. Prerequisite(s): STAT 1774 (800:064) or STAT 1772 (800:072); junior standing. (Variable)

STAT 4773/5773 (800:123g). Design and Analysis of Experiments — 3 hrs.

Planning and organizing experiments, one-factor experiments, randomized blocks, Latin squares and related designs, factorial designs and fractional factorial designs, response surface methodology, nested and split-plot designs. Prerequisite(s): STAT 3771/5771 (800:121g) or consent of instructor; junior standing. (Variable)

STAT 4777/5777 (800:157g). Statistical Quality Assurance Methods — 3 hrs.

Exploratory data analysis, Shewhart control charts and their variations, process capability analysis, CUSUM charts, EWMA charts, sampling inspection by attributes and by variables, continuous sampling plans, application of design of experiments in quality engineering. Prerequisite(s): MATH 3752/5752 (800:152g) or consent of instructor; junior standing. (Variable)

STAT 4779/5779 (800:196g). Applied Multivariate Statistical Analysis — 3 hrs.

Multivariate normal distribution, tests of significance with multivariate data, discrimination and classification, clustering, principal components, canonical correlations, use of statistical computer packages. Prerequisite(s): MATH 2500 (800:076); STAT 3775/5775 (800:174g); junior standing. (Variable)

STAT 6746. Probabilistic Operations Research — 3 hrs.

Decision making under uncertainty, Markov chains, deterministic and probabilistic dynamic programming, inventory control, production scheduling, supply chain management, portfolio optimizations. Prerequisite(s): MATH 2422 (800:062) (800:062); MATH 2500 (800:076) (800:076), MATH 3752/5752 (800:152g)/5752 (800:152g). (Same as MATH 6746 (800:251))(Fall, Spring)

STAT 6747. Discrete-Event System Simulation — 3 hrs.

Discrete-event systems simulation theory including input analysis, output analysis; applications of simulation software ARENA to studying performances of systems such as bank services, call centers, material-handling systems, and computer networks. Prerequisite(s): MATH 2422 (800:062) (800:062); STAT 1772 (800:072) (800:072). (Same as MATH 6747 (800:252))(Fall, Spring)

STAT 6748. Modeling Industrial Systems Using Queueing Networks — 3 hrs.

Queueing networks, applications to modeling and evaluating industrial systems such as flexible manufacturing systems, pull-type production systems, polling systems in computer networks, handoff schemes in cellular mobile networks; computational package MATLAB. Prerequisite(s): MATH 2422 (800:062) (800:062); MATH 2500 (800:076) (800:076); MATH 3752/5752 (800:152g)/5752 (800:152g). (Same as MATH 6748 (800:253))(Fall, Spring)

STAT 6772 (800:272). Advanced Statistical Methods — 3 hrs.

Categorical data analysis, logistic and Poisson regression, forecasting, repeated measures, classification and discriminant analysis, cluster analysis, data mining. Prerequisite(s): STAT 4773/5773 (800:123g). (Variable)

STAT 6779. Topics in Probability and Statistics — 3 hrs.

Topics from correlation and regression analysis, analysis of variance and co-variance, non-parametric methods, order statistics. May be repeated on different topic with consent of instructor. Prerequisite(s): consent of instructor. (Same as MATH 6779 (800:273))(Variable)