Department of Mathematics

# Departmental Honors

Students on Summer 2024, Fall 2024, or Spring 2025 requirements MATH-HON

## Requirements

**Algebra.**One (1) course:- MATH-S 303 Honors Course in Linear Algebra

# MATH-S 303 Honors Course in Linear Algebra

- Credits
- 3
- Prerequisites
- Consent of department
- Description
- Honors version of MATH-M 303. For students with unusual aptitude and motivation.
- Repeatability
- Not open to those who have had MATH-M 301 or MATH-M 303.

- Spring 2025CASE NMcourseFall 2024CASE NMcourse

**Calculus III.**One (1) course:- MATH-S 311 Honors Course in Calculus III

# MATH-S 311 Honors Course in Calculus III

- Credits
- 4
- Prerequisites
- MATH-S 212 or consent of instructor; and MATH M-301, MATH M-303, or MATH S-303
- Description
- Honors version of MATH-M 311, covering geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; and multiple integration. For students with unusual aptitude and motivation.
- Repeatability
- Credit given for only one of MATH-M 311 or MATH-S 311.

- Spring 2025CASE NMcourseFall 2024CASE NMcourse

**Calculus IV.**One (1) course:- MATH-S 312 Honors Course in Calculus IV

# MATH-S 312 Honors Course in Calculus IV

- Credits
- 3
- Prerequisites
- MATH-S 311 or consent of instructor
- Description
- For students with unusual aptitude and motivation.
- Repeatability
- Credit given for only one of MATH-M 312 or MATH-S 312.

**Modern Algebra.**One (1) course:- MATH-S 403 Honors Course in Modern Algebra I

# MATH-S 403 Honors Course in Modern Algebra I

- Credits
- 3
- Prerequisites
- MATH-S 303; or consent of instructor
- Notes
- For students of outstanding ability in mathematics
- Description
- Theory of groups, rings, integral domains, fields, and modules.

**Analysis I.**One (1) course:- MATH-S 413 Honors Course in Analysis I

# MATH-S 413 Honors Course in Analysis I

- Credits
- 3
- Prerequisites
- MATH-S 312; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes\' theorem. Closed and exact forms.

**Analysis II.**One (1) course:- MATH-S 414 Honors Course in Analysis II
- MATH-S 415 Honors Elementary Complex Variables

# MATH-S 414 Honors Course in Analysis II

- Credits
- 3
- Prerequisites
- MATH-S 413; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes\' theorem. Closed and exact forms.
- Repeatability
- Credit given for only one of MATH-S 414 or MATH-M 414.

# MATH-S 415 Honors Elementary Complex Variables

- Credits
- 3
- Prerequisites
- MATH-S 311; or consent of instructor
- Description
- For students with unusual aptitude and motivation. Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, contour integrals, calculus of residues, conformal mapping.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

**400–499 Level Courses.**One of the following:**MATH-M Sequence.**Six (6) credit hours:- Any MATH-M 400–499

**MATH-S Sequence.**Six (6) credit hours:- Any MATH-S 400–499

**Major GPA.**Honors candidates must maintain a GPA of at least 3.500 in all mathematics courses.**College GPA.**A College grade point average (GPA) of at least 3.300 is required.

Exceptions to and substitutions for honors requirements may be made with the approval of the unit's Director of Undergraduate Studies, subject to final approval by the College of Arts and Sciences.