Introduction to differential calculus including limits, continuity, definition of derivative, rules for differentiation, implicit differentiation,...

Primarily for students interested in pursuing a degree in one of the mathematical sciences. Logic, set theory, relations, functions and operations,...

Elementary techniques of integration; applications of Calculus such as area, volume, probability; functions of several variables, Lagrange...

Permutations and combinations; probability theory. This course is intended primarily for students in the Social Sciences, but may meet minimum...

Matrix algebra including vectors and matrices, linear equations, determinants. This course is intended primarily for students in the Social Sciences,...

Properties and applications of vectors; matrix algebra; solving systems of linear equations; determinants; vector spaces; orthogonality; eigenvalues...

A rigorous development of lines and planes in Rn; linear transformations and abstract vector spaces. Determinants and an introduction to...

A continuation of the material of Mathematics 2120A/B

A rigorous introduction to analysis on the real line, primarily for honors students. Sets, functions, natural numbers, Axioms for the real numbers,...

A continuation of the rigorous introduction to analysis on the real line, begun in Mathematics 2122A/B, primarily for honors students. Uniform...

Primarily for Mathematics students, but will interest other students with ability in and curiosity about mathematics in the modern world as well as in...

Logic, sets and functions, algorithms, mathematical reasoning, counting, relations, graphs, trees, Boolean Algebra, computation, modeling. ...

This course provides an introduction to logical reasoning and proofs. Topics include sets, counting (permutations and combinations), mathematical...

This course continues the development of logical reasoning and proofs begun in Mathematics

Linear transformations, matrix representation, rank, change of basis, eigenvalues and eigenvectors, inner product spaces, quadratic forms and conic...

Complex numbers, Cauchy-Riemann equations, elementary functions, integrals, Cauchy's theorem and integral formula and applications, Taylor and Laurent...

A survey of some important basic concepts of mathematics in a historical setting, and in relation to the broader history of ideas. Topics may include:...

An introduction to abstract algebra, with principal emphasis on the structure of groups, rings, integral domains and fields. Cannot be taken for...

Euclidean algorithm, congruences, indices, continued fractions, Gaussian integers, partitions and Diophantine equations. Antirequisite(s):...

Groups of transformations of the Euclidean plane, inversion, the projective plane. Antirequisite(s): Mathematics 4153A/B, the former Mathematics...