Precalculus Math Lecture Notes

Professor Mark Moodie

Description

This is a focused collection of notes for a course in precalculus math taught at San Jacinto College (Houston, Texas). In less than 260 pages, the course offers a compact delivery of the core concepts that students ought to understand prior to taking calculus. In addition to learning algebraic and computational skills, the course is designed for learning how to think mathematically. The chapters on mathematical language and problem-solving highlight this latter objective.

Individual Chapters

Chapter 1 Functions and Function Notation.pdf
Chapter 2 Finding the Domains of Functions.pdf
Chapter 3 Behaviors and Features on the Graphs of Functions.pdf
Chapter 4 Algebra of Functions.pdf
Chapter 5 Graph Transformations.pdf
Chapter 6 Inverse Functions.pdf
Chapter 7 Lines in the Plane.pdf
Chapter 8 Dividing Polynomials.pdf
Chapter 9 Finding the Zeros of a Polynomial.pdf
Chapter 10 Graph Sketching for Polynomial Functions.pdf
Chapter 11 Rational Functions and their Graphs.pdf
Chapter 12 Rational Functions and their Graphs.pdf
Chapter 13 Logarithmic Functions and their Graphs.pdf
Chapter 14 Properties of Logarithms.pdf
Chapter 15 Solving Exponential and Logarithmic Equations.pdf
Chapter 16 Applications of Exponential and Logarithmic Functions.pdf
Chapter 17 Introduction to Angles.pdf
Chapter 18 Right Triangle Trigonometry.pdf
Chapter 19 The Unit Circle Part One.pdf
Chapter 20 The Unit Circle Part Two.pdf
Chapter 20.3 Review Problems 1.pdf
Chapter 21 Graphing Sinusoidal Functions.pdf
Chapter 22 Graphs of the Other Trigonometric Functions.pdf
Chapter 23 Inverse Trigonometric Functions.pdf
Chapter 24 Trigonometric Identities.pdf
Chapter 25 Sum and Difference Identities.pdf
Chapter 26 Double-Angle and Half-Angle Identities.pdf
Chapter 27 Trigonometric Equations.pdf
Chapter 28 Law of Sines.pdf
Chapter 29 Law of Cosines.pdf
Chapter 30 Polar Form of Complex Numbers.pdf
Chapter 30.4 Review Problems 2.pdf
Chapter 31 Sequences and their Notation.pdf
Chapter 32 Arithmetic Sequences.pdf
Chapter 33 Geometric Sequences.pdf
Chapter 34 Summation of Sequences.pdf
Chapter 35 The Idea of a Limit.pdf
Chapter 36 Properties of Limits.pdf
Chapter 37 Concepts of Continuity.pdf
Chapter 38 Concepts of the Derivative.pdf
Chapter 38.4 Review Problems 3.pdf
Appendix A Review of Selected College Algebra Topics.pdf
Appendix B Introduction to Mathematical Language.pdf
Appendix C Problem Solving for College Algebra Students.pdf
Appendix D Basic Trigonometric Formulas and Identities.pdf