Front

Preface

Chapter 0: An Introduction to Mathematics 

Unit 1: Numbers, Variables and Relationships

How can we use numbers and variables to find out unknown information?

Chapter 1: Elementary Arithmetic 
Chapter 2: An Introduction to Algebra 
Chapter 3: Solving Equations 
Chapter 4: Inequalities 


Unit 2: An Introduction To Graphing

Math is a method of solving problems. You take information you know, and by manipulating it using mathematical principles, you can find information you don't know. Functions are the mathematical framework for solving problems. They have parameters, rules, and ways of being solved. This section will introduce you to functions and how to use them.

Chapter 5: The Cartesian Plane 
Chapter 6: Graphing Linear Functions 
Chapter 7: Systems and Matrices 
Chapter 8: Piecewise Functions 

Unit 3: Polynomials

Chapter 9: Quadratic Functions 
Chapter 10: Polynomial Functions 

Unit 4: Other Functions

After covering polynomials, we will now be delving into more advanced functions.

Chapter 11: Properties of Functions 
Chapter 12: Exponents and Logarithms 
Chapter 13: Rational and Radical Functions 
Chapter 14: Trigonometry 

Unit 5: Algebra in Discrete Mathematics

Chapter 15: Sequences and Series 
Chapter 16: Probability and Counting 

Unit 6: Analytic Geometry

Chapter 17: Conic Sections 
Chapter 18: Parametric Equations and Polar Coordinates 
Chapter 19: Vectors 

Unit 7: Theory of Equations

Chapter 20: Complex Numbers 
Chapter 21: Approximation Theory 
Chapter 22: Continued Fractions 
Chapter 23: Higher-Degree Polynomials 
Chapter 24: Limits of Functions 

Unit 8: Advanced Algebra

Chapter 25: Group Theory 
Chapter 26: Graphs and Networks 
Chapter 27: Cryptography 
Chapter 28: Rings 
Chapter 29: Lattices and Boolean Algebra 
Chapter 30: Fields and Galois Theory 

Appendix

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