To qualify for a Bachelor of Science in Mathematics, a student must satisfactorily complete with a grade of C or better each of the following courses. Changes from the standard program must be approved by the department.

Courses in *italics* are optional for the Bachelor of Arts in Mathematics. The Bachelor of Arts also requires the following courses:

- 50:640:432 Introduction to Differential Geometry OR 50:640:441 Topology (3 credits)
- 50:640:491 Math Seminar (3 credits)

For more detailed information, see the curriculum worksheets for the BA and the BS.

## Learning Goals

- Have a broad perspective on modern mathematics and its applications.
- Master basic mathematical ideas and techniques in calculus, abstract algebra, analysis, geometry, differential equations, probability, and statistics.
- Be able to analyze quantitative information and apply advanced mathematical techniques and concepts where appropriate.
- Be able to effectively communicate rigorous mathematical ideas and reasoning.

## Required Courses (42 credits)

- 50:640:121 Calculus I OR 50:640:123 Active Calculus I (4 credits)
- 50:640:122 Calculus II OR 50:640:124 Active Calculus II (4 credits)
- 50:640:221 Calculus III (4 credits)
- 50:640:250 Linear Algebra OR 50:640:253 Linear Algebra with Applications (3 credits)
- 50:640:300 Mathematical Reasoning with Proofs (3 credits)
- 50:640:311 Introduction to Real Analysis I (3 credits)
- 50:640:314 Elementary Differential Equations (3 credits)
- 50:640:331 Probability and Stochastic Processes (3 credits)
*50:960:336 Applied Statistics (3 credits) OR**50:960:481 Mathematical Statistics (3 credits)*- 50:640:351 Introduction to Modern Algebra I (3 credits)
- 50:640:356 Theory of Numbers (3 credits)
- 50:640:403 Introduction to Complex Analysis (3 credits)
- 50:640:435 Geometry (3 credits)

## 300-level Elective Courses (6 credits – choose 2 courses from the list below)

*50:640:312 Introduction to Real Analysis II (3 credits)*- 50:640:352 Introduction to Modern Algebra II (3 credits)
*50:640:357 Introduction to Computational Mathematics (3 credits)*

## 400-level Elective Courses (9 credits)

- Any three Mathematics (640) or Statistics (960) courses at 400-level

Total: 57 credits