Mathematics

Mathematics B.A.


Mathematics Major

The B.A. Mathematics major requires a minimum of 120 total hours to graduate. This total includes UNIFI/General Education requirements and the following specified major requirements, plus electives to complete the minimum of 120 hours. Students are encouraged to discuss Undergraduate Research (MATH 4990) with their advisor.

Common core:
MATH 1420Calculus I *4
MATH 1421Calculus II4
MATH 2422Calculus III4
MATH 2500Linear Algebra for Applications3
MATH 2900Discrete and Argumentative Mathematics3
STAT 1772Introduction to Statistical Methods *3
Seminar/Research:1-3
Senior Mathematics Seminar
Undergraduate Research in Mathematics
Choose emphasis below21-22
Total Hours43-46

Emphases

General Mathematics

Required:
Mathematics:
MATH 4420/5420Advanced Calculus I3
MATH 4421/5421Advanced Calculus II3
MATH 4500/5500Modern Algebra I3
MATH 4501/5501Modern Algebra II3
Probability/Statistics:3
Select one of the following:
Applied Statistical Methods for Research
Introduction to Probability
Electives: Choose 2 of the following. MATH/STAT 3752/5752 cannot be used if used for the Probability/Statistics requirement. Other junior/senior level mathematics courses may be substituted with approval of advisor and Department Head.6
Dynamical Systems: Chaos Theory and Fractals
Differential Equations
Numerical Analysis *
Combinatorics
Euclidean Geometry
Modern Geometries
Differential Geometry
History of Mathematics
Introduction to Probability
Mathematics of Finance
Introduction to Complex Analysis
Elementary Number Theory
Geometric Transformations
Topology I
Total Hours21

Mathematics of Artificial Intelligence

Required:
Mathematics of Artificial Intelligence:
MATH/STAT 3752Introduction to Probability3
MATH 4520/5520Computational Linear Algebra3
MATH 4540/5540Introduction to Optimization3
MATH 4790/5790Mathematics of Deep Learning3
STAT 4772/5772Statistical Computing I3
STAT 4784/5784Introduction to Machine Learning3
Electives:3-4
Select one of the following:
Introduction to Computing
Computing for Data Science *
Artificial Intelligence *
Combinatorics
Introduction to Mathematical Statistics
Statistical Computing II
Total Hours21-22
*

These courses have additional prerequisites as follows:

MATH 1420 has prerequisite of a satisfactory score on a mathematics placement exam, or subsequent remediation.

STAT 1772 has prerequisite of Satisfactory score on ALEKS exam.

MATH 3440/5440 has prerequisite of CS 1130CS 1160, or CS 1510.

CS 2150 has a prerequisite of CS 1510 and consent of department.

CS 3610/5610 has a prerequisite of CS 1520; CS 1800; and junior standing.

Four-Year Plan

Mathematics: General Mathematics, B.A.

This is a sample plan of study with a suggested sequencing of classes for the major.  University electives may be applied to earn additional academic majors, minors, or certificates.  Students should regularly meet with their academic advisor to plan their specific semester schedule to include UNIFI/General Education program and/or university elective hours required.

Plan of Study Grid
Freshman
FallHour
ENGLISH 1005 College Writing and Research 3
MATH 1420 Calculus I 4
STAT 1772 Introduction to Statistical Methods 3
UNIFI/General Education or University Electives 6
 Hours16
Spring
COMM 1000 Oral Communication 3
MATH 1421 Calculus II 4
UNIFI/General Education or University Electives 9
 Hours16
Sophomore
Fall
MATH 2422 Calculus III 4
MATH 2900 Discrete and Argumentative Mathematics 3
UNIFI/General Education or University Electives 9
 Hours16
Spring
MATH 2500 Linear Algebra for Applications 3
UNIFI/General Education or University Electives 12
 Hours15
Junior
Fall
MATH 3752/5752 Introduction to Probability 3
MATH 4500/5500 Modern Algebra I (or Math elective) 3
UNIFI/General Education or University Electives 9
 Hours15
Spring
MATH 4501/5501 Modern Algebra II 3
STAT 3771/5771 Applied Statistical Methods for Research (or Math elective) 3
UNIFI/General Education or University Electives 9
 Hours15
Senior
Fall
MATH 4420/5420 Advanced Calculus I 3
MATH 4900 Senior Mathematics Seminar (or MATH 4990) 1
UNIFI/General Education or University Electives 11
 Hours15
Spring
MATH 4421/5421 Advanced Calculus II 3
UNIFI/General Education or University Electives 9
 Hours12
 Total Hours120
*

 Note: A student who has a grade point average of less than 2.25 in all departmental courses used for this major may not apply a departmental course in which a grade of less than C- is earned.

Mathematics: Mathematics of Artificial Intelligence, B.A. 

This is a sample plan of study with a suggested sequencing of classes for the major.  University electives may be applied to earn additional academic majors, minors, or certificates.  Students should regularly meet with their academic advisor to plan their specific semester schedule to include UNIFI/General Education program and/or university elective hours required.

Plan of Study Grid
Freshman
FallHour
MATH 1420 Calculus I 4
STAT 1772 Introduction to Statistical Methods 3
UNIFI/General Education or University Electives 9
 Hours16
Spring
MATH 2500 Linear Algebra for Applications 3
MATH 1421 Calculus II 4
UNIFI/General Education or University Electives 9
 Hours16
Sophomore
Fall
MATH 2422 Calculus III 4
MATH 2900 Discrete and Argumentative Mathematics 3
STAT 4772/5772 Statistical Computing I 3
UNIFI/General Education or University Electives 6
 Hours16
Spring
Mathematics elective as specified 3
UNIFI/General Education or University Electives 13
 Hours16
Junior
Fall
MATH 4520/5520 Computational Linear Algebra 3
MATH 3752/5752 Introduction to Probability 3
UNIFI/General Education or University Electives 8
 Hours14
Spring
STAT 4784/5784 Introduction to Machine Learning 3
Mathematics elective as specified 3
UNIFI/General Education or University Electives 9
 Hours15
Senior
Fall
MATH 4540/5540 Introduction to Optimization 3
UNIFI/General Education or University Electives 11
 Hours14
Spring
MATH 4790/5790 Mathematics of Deep Learning 3
MATH 4900 Senior Mathematics Seminar 1
UNIFI/General Education or University Electives 9
 Hours13
 Total Hours120

Learning Outcomes

Mathematics, B.A.

Goal 1. Problem Solving Specification:

  • Understanding: Students will understand or state problems and definitions correctly;
  • Modification: Students will modify problems when necessary to make them tractable;
  • Reaching a solution: Students will articulate assumptions and reason logically to conclusions;
  • Communication and Interpretation: Students will communicate steps and interpret results intelligently when necessary.

Goal 2. Content Specification:

  • Knowledge Foundation: Students will demonstrate an understanding of the core knowledge of mathematics.
  • Advanced Content: Students will demonstrate comprehension of upper-level content of mathematics, statistics and actuarial science.
  • Communication and Interpretation: Students will communicate using correct content terms and interpret concepts when necessary.

Goal 3. Technology/Software:

  • Software Proficiency: Students will demonstrate basic proficiency with mathematical and statistical software.
  • Analytical Skills: Students will be able to make informed choices about when the use of technology or data analysis is viable and useful.
  • Communication and Interpretation: Students will communicate using the right language and interpret results intelligently.

Goal 4. Professional Development:

  • Proof and Argument Specification: Students will be able to compose and explain proofs in clear mathematical style, both orally and in writing, and to critically evaluate mathematical arguments made by others. Students will be able to use a variety of techniques of proof, including direct proof, proof by contradiction, and mathematical induction.

Policies

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. A student with a major within the Department of Mathematics may declare a second major and/or a certificate within the Department. Interested students should work closely with an advisor.
  3. The declaration of both a major and a minor with the Department of Mathematics is limited to the following. Interested students should work closely with an advisor. 
  • A student with any Mathematics major may declare the interdisciplinary Data Science Minor.
  • A student with the Mathematics Major or the Mathematics-Teaching Major may declare the Statistics emphasis of the Statistics and Actuarial Science Minor.