Mathematics

Fall, Spring. Credit, four hours. Beginning with "strange arithmetics" connected to braiding cords, paper-flipping, and clocks, and ending with the fundamental theorem of algebra and Abel’s shocking "impossibility theorem" -- this course reveals new connections and unexpected motivations for familiar ideas from precalculus. (e.g., trigonometry as birthed by complex numbers; solutions to the general cubic and quartic equations; hyperbolic trigonometry derived from logarithms) In doing so, the course includes a good review of algebra and transcendental functions and provides a solid foundation for subsequent study of calculus. 

Fall, Spring. Credit, three hours. This sequence includes differential and integral calculus of algebraic and transcendental functions of one variable, with applications and infinite series, including power series.

Fall, Spring. Credit, three hours. This sequence includes differential and integral calculus of algebraic and transcendental functions of one variable, with applications and infinite series, including power series.

When schedule allows. Credit, three hours. Proofs and the foundations of mathematical thought, namely definitions, axioms, and logic. Specific topics include geometry and number theory. Intended for non-mathematics majors.

When schedule allows. Credit, three hours. Using secret codes, puzzles, and curious mathematical oddities such as motivation, this course explores the elementary concepts behind the theory of numbers and their unexpected connections with other major branches of mathematics. Intended for non-mathematics majors.

On demand. Credit, three hours. Rotating topics in math. May be repeated for credit when the topic varies. Prerequisites and co requisites depend on the topic offered. 

TBA. Credit, one hour. Designed as a companion to the first semester experience as a Mathematics Center tutor. Course includes reflection on tutoring experiences and practice in tutoring strategies. Included will be an in-depth review of essential mathematical concepts and proofs in the Calculus sequence, theoretical and pedagogical readings, and tutoring reflections and observations.

TBA. Credit, four hours. Prerequisite: Mathematics 111. This course is a short treatment of Math 112 and 211 with a lab component. It is not appropriate for students who have taken Math 211. Topics include: advanced integration, Taylor series; and multivariable differentiation, optimization and integration; and applications to statistics and science.

Fall. Credit, three hours. Prerequisite: Mathematics 112. Vectors, multivariable functions, partial derivatives, multiple integrals, vector and scalar fields, Green’s and Stokes’ theorems, and divergence theorem.

Spring. Credit, three hours. Prerequisite: Mathematics 112. Ordinary differential equations with applications.

Fall, Spring. Credit, four hours. Prerequisite: Mathematics 111 or permission of instructor. Systems of linear equations and matrices, determinants, linear transformations, vector spaces, and eigenvectors.

Spring. Credit, three hours. Prerequisite: Mathematics 112. An introduction to theoretical mathematics, logic and proof, sets, induction, abstract algebraic structures, and the real number line.

On demand. Credit, three hours. Rotating topics in math. May be repeated for credit when the topic varies. Pre and co requisites depend on the topic offered. 

Topics and credit to be arranged. This course does not satisfy distribution requirements in natural science and mathematics.

Spring. Credit, four hours. Prerequisites: Mathematics 221 and Computer Science 170. Solution of linear and nonlinear systems of equations, interpolation, least-squares approximation, numerical integration, and differentiation. Significant components of the course material are based on linear algebra and computation. Has a one-hour lab.

Fall. Credit, three hours. Prerequisites: Mathematics 221 and Computer Science 170. Theory of linear programming, duality, optimal flows in networks, and mathematical programming. 

On demand. Variable credit, 1 to 3 hours. For students who want to participate in mathematics research with an Oxford College mathematics faculty member acting as research director. This course does not satisfy distribution requirements in natural science and mathematics.