Department of Mathematics
Departmental Honors
Students on Summer 2021, Fall 2021, or Spring 2022 requirements MATH-HON
The honors program of the Department of Mathematics is designed for students with a wide variety of interests and goals. Honors courses are regularly offered at each academic level. The program includes courses for students who are not majoring in science and mathematics. Honors coursework gives recognizably distinguished preparation to those who wish to apply mathematical methods to other fields. Completion of the honors program coursework offers optimal preparation for graduate study and for a career as a professional mathematician.
Math-S class sizes are typically smaller than their MATH-M counterparts. The curriculum in honors courses differs substantially from the Math-M versions. Honors courses present mathematics with an emphasis on conceptual understanding and on rigorous explanations. Students who excel in Math-M courses and are committed to the study of mathematics are encouraged to try an honors course after consulting with a Mathematics Department advisor.
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.
- Fall 2025CASE NMcourseSummer 2025CASE NMcourseSpring 2025CASE 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.
- Fall 2025CASE NMcourseSummer 2025CASE NMcourseSpring 2025CASE 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
- MATH-M Sequence. Six (6) credit hours:
- Major GPA. Honors candidates must maintain a GPA of at least 3.500 in all mathematics courses.
- GPA, Hours, and Minimum Grade Requirements.
- Students must have a College GPA of 3.300 or higher to qualify for admission to a Departmental Honors program and to receive Departmental Honors. Units may set a higher College GPA.
- Units establish additional criteria, including admissions procedures, academic performance standards, and whether there are required courses, papers, or projects.
- Students who wish to earn honors in two different units must complete a distinct body of work for each honors notation.
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.