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##### Introduction to Enumerative Combinatorics
###### Introduction to Enumerative Combinatorics

English

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...

##### 微积分二: 数列与级数 (中文版)
###### 微积分二: 数列与级数 (中文版)

English

“微积分二：数列与级数”将介绍数列、无穷级数、收敛判别法和泰勒级数。本课程不仅仅满足于得到答案，而且要做到知其然，并知其所以然。
“微积分二：数列与级数”将介绍数列、无穷级数、收敛判别法和泰勒级数。本课程不仅仅满足于得到答案，而且要做到知其然，并知其所以然。

##### Introduction to Galois Theory
###### Introduction to Galois Theory

English

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...

##### Pre-Calculus: Trigonometry
###### Pre-Calculus: Trigonometry

English

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
###### Calculus Two: Sequences and Series

English

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...

##### Introduction to Mathematical Thinking
###### Introduction to Mathematical Thinking

English

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 One
###### Calculus One

English

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...

##### Fibonacci Numbers and the Golden Ratio
###### Fibonacci Numbers and the Golden Ratio

English

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
###### Analytic Combinatorics

English

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...

##### Pre-Calculus: Functions
###### Pre-Calculus: Functions

English

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. Upon...
This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to...

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