
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 1420 | Calculus I * | 4 |
| MATH 1421 | Calculus II | 4 |
| MATH 2422 | Calculus III | 4 |
| MATH 2500 | Linear Algebra for Applications | 3 |
| MATH 2900 | Discrete and Argumentative Mathematics | 3 |
| STAT 1772 | Introduction to Statistical Methods * | 3 |
| Seminar/Research: | 1-3 | |
| Senior Mathematics Seminar | ||
or MATH 4990 | Undergraduate Research in Mathematics | |
| Choose emphasis below | 21-22 | |
| Total Hours | 43-46 | |
Emphases
General Mathematics
| Required: | ||
| Mathematics: | ||
| MATH 4420/5420 | Advanced Calculus I | 3 |
| MATH 4421/5421 | Advanced Calculus II | 3 |
| MATH 4500/5500 | Modern Algebra I | 3 |
| MATH 4501/5501 | Modern Algebra II | 3 |
| 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 Hours | 21 | |
Mathematics of Artificial Intelligence
| Required: | ||
| Mathematics of Artificial Intelligence: | ||
| MATH/STAT 3752 | Introduction to Probability | 3 |
| MATH 4520/5520 | Computational Linear Algebra | 3 |
| MATH 4540/5540 | Introduction to Optimization | 3 |
| MATH 4790/5790 | Mathematics of Deep Learning | 3 |
| STAT 4772/5772 | Statistical Computing I | 3 |
| STAT 4784/5784 | Introduction to Machine Learning | 3 |
| 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 Hours | 21-22 | |
- *
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 1130, CS 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.
| Freshman | ||
|---|---|---|
| Fall | Hour | |
| 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 | |
| Hours | 16 | |
| Spring | ||
| COMM 1000 | Oral Communication | 3 |
| MATH 1421 | Calculus II | 4 |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 16 | |
| Sophomore | ||
| Fall | ||
| MATH 2422 | Calculus III | 4 |
| MATH 2900 | Discrete and Argumentative Mathematics | 3 |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 16 | |
| Spring | ||
| MATH 2500 | Linear Algebra for Applications | 3 |
| UNIFI/General Education or University Electives | 12 | |
| Hours | 15 | |
| 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 | |
| Hours | 15 | |
| 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 | |
| Hours | 15 | |
| 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 | |
| Hours | 15 | |
| Spring | ||
| MATH 4421/5421 | Advanced Calculus II | 3 |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 12 | |
| Total Hours | 120 | |
- *
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.
| Freshman | ||
|---|---|---|
| Fall | Hour | |
| MATH 1420 | Calculus I | 4 |
| STAT 1772 | Introduction to Statistical Methods | 3 |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 16 | |
| Spring | ||
| MATH 2500 | Linear Algebra for Applications | 3 |
| MATH 1421 | Calculus II | 4 |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 16 | |
| 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 | |
| Hours | 16 | |
| Spring | ||
| Mathematics elective as specified | 3 | |
| UNIFI/General Education or University Electives | 13 | |
| Hours | 16 | |
| Junior | ||
| Fall | ||
| MATH 4520/5520 | Computational Linear Algebra | 3 |
| MATH 3752/5752 | Introduction to Probability | 3 |
| UNIFI/General Education or University Electives | 8 | |
| Hours | 14 | |
| Spring | ||
| STAT 4784/5784 | Introduction to Machine Learning | 3 |
| Mathematics elective as specified | 3 | |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 15 | |
| Senior | ||
| Fall | ||
| MATH 4540/5540 | Introduction to Optimization | 3 |
| UNIFI/General Education or University Electives | 11 | |
| Hours | 14 | |
| Spring | ||
| MATH 4790/5790 | Mathematics of Deep Learning | 3 |
| MATH 4900 | Senior Mathematics Seminar | 1 |
| UNIFI/General Education or University Electives | 9 | |
| Hours | 13 | |
| Total Hours | 120 | |
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:
- 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.
- 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.
- 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.
