This course is a continuation of MATH 2315. Covers topics from linear algebra/differential equations/real analysis. Success in this course and MATH 2315 (grades of B- or higher) exempts the student from the math major requirement of taking MATH 3351 and MATH 3250. Students are encouraged to take more advanced courses in these areas. Prerequisite: MATH 2315.

Differential and integral calculus in Euclidean spaces. Implicit and inverse function theorems, differential forms and Stokes' theorem. Prerequisites: multivariable calculus, basic real analysis, linear algebra and one of the following: MATH 4310, MATH 4651, MATH 4770, MATH 3315, or instructor permission.

Introduces measure and integration theory. Prerequisite: MATH 5310 or equivalent.

A first course of a 2-semester Calculus sequence for business/biology/social-science students. Topics include algebra, limits, continuity, differentiation, exponential and logarithmic functions and modelling with applications to economics, data science, biology. At most one of the sequence MATH 1191/MATH 1192, MATH 1210, and MATH 1310 may be taken for credit.  Prerequisite: No previous exposure to Calculus is required.

This course provides the opportunity to offer a new topic in the subject of mathematics.

A second course in ordinary differential equations, from the dynamical systems point of view. Topics include: existence and uniqueness theorems; linear systems; qualitative study of equilibria and attractors; bifurcation theory; introduction to chaotic systems. Further topics as chosen by the instructor. Applications drawn from physics, biology, and engineering. Prerequisites: MATH 3351 or APMA 3080 and MATH 3310 or MATH 4310.

This course provides the opportunity to offer a new topic in the subject of mathematics.

Geometric study of curves/surfaces/their higher-dimensional analogues. Topics vary and may include curvature/vector fields and the Euler characteristic/the Frenet theory of curves in 3-space/geodesics/the Gauss-Bonnet theorem/and/or an introduction to Riemannian geometry on manifolds. Prerequisites: MATH 2310, MATH 3250 and MATH 3351 or instructor permission.

This course will introduce students to the techniques and methods of mathematical research. Students will independently work with mathematical literature on a topic assigned by the instructor and present their findings in various formats (presentation, paper etc.).

This course provides a framework for the completion of a Distinguished Major Thesis, a treatise containing an exposition of a chosen mathematical topic. A faculty advisor guides a student through the beginning phases of the process of research and writing. Prerequisite: Acceptance into the Distinguished Major Program.