LECTURE NOTES OF WILLIAM CHEN
# MISCELLANEOUS TOPICS IN FIRST YEAR MATHEMATICS

### Chapter 1 : REVIEW ON TRIGONOMETRY (written with XT Duong) >>

### Chapter 2 : POLYNOMIALS >>

### Chapter 3 : CONGRUENCES >>

### Chapter 4 : INTRODUCTION TO GROUP THEORY >>

As the title suggests, this is a small collection of topics which do not fit in easily with either calculus or linear algebra.

To read the notes, click the links below for connection to the appropriate PDF files.

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- Radian and Arc Length
- The Trigonometric Functions
- Some Trigonometric Identities

- Introduction
- Polynomial Equations
- Division of Polynimials
- Roots of Polynomials
- Fundamental Theorem of Algebra
- Roots of Real Polynomials
- Rational Functions
- Greatest Common Divisor

- Introduction
- Arithmetic of Congruences
- Linear Congruences
- Special Divisibility Rules
- Further Discussion

- Some Examples
- Formal Definition
- Subgroups
- Order
- Cyclic Groups
- Further Discussion
- Groups of Small Order