Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed.
In the...
Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of...

A very beautiful classical theory on field extensions of a certain type (Galois extensions) initiated by Galois in the 19th century. Explains, in particular, why it is not possible to solve an equation of degree...
A very beautiful classical theory on field extensions of a certain type (Galois extensions) initiated by Galois in the...

This course covers mathematical topics in trigonometry. Trigonometry is the study of triangle angles and lengths, but trigonometric functions have far reaching applications beyond simple studies of triangles....
This course covers mathematical topics in trigonometry. Trigonometry is the study of triangle angles and lengths, but...

Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"
Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor...

Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years.
Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years.

Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so abstract ends up explaining the real world. Calculus plays a starring role in the biological,...
Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so...

This is a course about the Fibonacci numbers, the golden ratio, and their intimate relationship. In this course, we learn the origin of the Fibonacci numbers and the golden ratio, and derive a formula to...
This is a course about the Fibonacci numbers, the golden ratio, and their intimate relationship. In this course, we...

Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial structures. This course introduces the symbolic method to derive functional relations among...
Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial...

This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to help prepare students to enroll for a first semester course in single variable calculus.
This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to...