Precalculus Math Lecture Notes
Professor Mark Moodie
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Description
This is a focused collection of notes for a course in precalculus math taught at San Jacinto College (Houston, Texas). In a little over 260 pages, the text 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.pdfChapter 2 Finding the Domains of Functions.pdfChapter 3 Behaviors and Features on the Graphs of Functions.pdfChapter 4 Algebra of Functions.pdfChapter 5 Graph Transformations.pdfChapter 6 Inverse Functions.pdfChapter 7 Lines in the Plane.pdfChapter 8 Dividing Polynomials.pdfChapter 9 Finding the Zeros of a Polynomial.pdfChapter 10 Graph Sketching for Polynomial Functions.pdfChapter 11 Rational Functions and their Graphs.pdfChapter 12 Rational Functions and their Graphs.pdfChapter 13 Logarithmic Functions and their Graphs.pdfChapter 14 Properties of Logarithms.pdfChapter 15 Solving Exponential and Logarithmic Equations.pdfChapter 16 Applications of Exponential and Logarithmic Functions.pdfChapter 17 Introduction to Angles.pdfChapter 18 Right Triangle Trigonometry.pdfChapter 19 The Unit Circle Part One.pdfChapter 20 The Unit Circle Part Two.pdfChapter 20.3 Review Problems 1.pdfChapter 21 Graphing Sinusoidal Functions.pdfChapter 22 Graphs of the Other Trigonometric Functions.pdfChapter 23 Inverse Trigonometric Functions.pdfChapter 24 Trigonometric Identities.pdfChapter 25 Sum and Difference Identities.pdfChapter 26 Double-Angle and Half-Angle Identities.pdfChapter 27 Trigonometric Equations.pdfChapter 28 Law of Sines.pdfChapter 29 Law of Cosines.pdfChapter 30 Polar Form of Complex Numbers.pdfChapter 30.4 Review Problems 2.pdfChapter 31 Sequences and their Notation.pdfChapter 32 Arithmetic Sequences.pdfChapter 33 Geometric Sequences.pdfChapter 34 Summation of Sequences.pdfChapter 35 The Idea of a Limit.pdfChapter 36 Properties of Limits.pdfChapter 37 Concepts of Continuity.pdfChapter 38 Concepts of the Derivative.pdfChapter 38.4 Review Problems 3.pdfAppendix A Review of Selected College Algebra Topics.pdfAppendix B Introduction to Mathematical Language.pdfAppendix C Problem Solving for College Algebra Students.pdfAppendix D Basic Trigonometric Formulas and Identities.pdfPage updated
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