These notes are written by Steven Sy, and are being added sporadically.
All rights are reserved to these notes.
1.1 Graphs and Graphing Utilities
1.2A Review of Solving Linear Equations (handwritten)
1.2B Interval Notation and Linear Inequalities Review (handwritten)
1.2C Review of Rational Equations (handwritten)
1.3A Literal Equations Review (handwritten)
1.3B Problem Solving Review (handwritten)
1.4 Complex Numbers (handwritten)
1.5A Review of Quadratic Equations and Zero Product Principle (handwritten)
1.5B Plus/Minus
1.5C Review of Square Root Principle
1.5D Review of Completing the Square
1.5E Solving Quadratic Equations by Completing the Square
1.5F Review of Quadratic Formula
1.5G Discriminant I
1.5H Discriminant II (handwritten)
1.5I More on Literal Equations; Pythagorean Theorem
1.6A Introduction to Polynomial Equations (handwritten)
1.6B Clever Substitutions (handwritten)
1.6C Radical Equations (handwritten)
1.6D Rational Exponent Equations (handwritten)
1.6E Mixed Equations (handwritten)
1.6F Review of Absolute Value and Absolute Value Equations (handwritten)
1.7A AND/OR (handwritten)
1.7B Absolute Value Inequalities (handwritten)
3.6A Polynomial Inequalities (handwritten)
3.6B Rational Inequalities (handwritten)
2.1/2.2A Relations and Functions (handwritten)
2.1/2.2B Equations and Functions (handwritten)
2.1/2.2C Function Representation and Evaluation (handwritten)
2.1/2.2D Piecewise Functions (handwritten)
2.1/2.2E Evaluating Functions with Variable Inputs (handwritten)
2.1/2.2F Several Copies of f (handwritten)
2.1/2.2G Difference Quotients (handwritten)
2.1/2.2H Domain of Functions (handwritten)
2.1/2.2I Range of Functions (handwritten)
2.1/2.2J Function Equality (handwritten)
2.1/2.2K Graphing Functions (handwritten)
2.1/2.2L Greatest Integer Function (handwritten)
2.1/2.2M Graphing Piecewise Functions (handwritten)
2.1/2.2N Reading Graphs; Domain and Range (handwritten)
2.1/2.2O Interpreting Graphs (handwritten)
2.1/2.2P Increasing/Decreasing Functions; Extreme Values (handwritten)
2.1/2.2Q Symmetry; Even and Odd (handwritten)
2.1/2.2R Decomposition of Functions into Even and Odd Parts (handwritten)
2.3/2.4 Review of Lines and Slope (handwritten)
2.4B Average Rate of Change (handwritten)
2.5A Common Graphs (handwritten)
2.5B Basic Transformations (handwritten)
2.5C HSRV I: Output Formulas (handwritten)
2.5D HSRV II: Shapes (handwritten)
2.5E HSRV III: General Points (handwritten)
2.5F HSRV Transformation of Domain and Range (handwritten)
2.6A Combining Functions (handwritten)
2.6B Domain of Combined Functions (handwritten)
2.6C Function Composition (handwritten)
2.6D Domain of Composition: From Output Formulas (handwritten)
2.6E Domain of Composition: From Graphs
2.7A Inverses
2.7B One-to-One Functions
2.7C Inverse Functions I
2.7D Inverse Functions II: Reflections
2.7E Domain and Range of the Inverse Function
2.7F Capital Functions
2.7G Range Finding: Back Door Method (handwritten)
2.7H Proper and Improper Inverse Formulas (handwritten)
2.8 Distance Formula, Circles, Midpoint Formula
3.1A Quadratic Functions I (handwritten)
3.1B Quadratic Functions II (handwritten)
3.2A Power Functions (handwritten)
3.2B Polynomial Functions I (handwritten)
3.2C Polynomial Functions II (handwritten)
3.3A Review of Dividing Polynomials
3.3B Synthetic Division (handwritten)
3.3C Division Algorithm (handwritten)
3.3D Remainder Theorem (handwritten)
3.3E The Factor Theorem (handwritten)
3.4A Rational Zeros and Advanced Factoring Strategy (handwritten)
3.4B Irrational Zeros (handwritten)
3.4Bii Addendum: Descartes' Rule of Signs (handwritten)
3.4C Complex Zeros I: Facts (handwritten)
3.4D Complex Zeros II: Multiplying Conjugates (handwritten)
3.4E Complex Zeros III: Complex Zero Hint (handwritten)
3.4F Complex Zeros IV: Going Backward (handwritten)
3.4G Complex Zeros V: Ring Problem (handwritten)
3.5A Reciprocal Functions (handwritten)
3.5B Mathematical Description of Asymptotes (handwritten)
3.5C Rational Functions and Asymptotes
3.5D Graphing Rational Functions
3.5E Algebraic Functions (handwritten)
4.1A Exponential Functions (handwritten)
4.1B Special Exponential Equations (handwritten)
4.1C The Number e (handwritten)
4.1D Compound Interest (handwritten)
4.2A Introduction to Logarithms (handwritten)
4.2B Graphs of Logarithmic Functions and Domain (handwritten)
4.3A Properties of Logarithmic Functions (handwritten)
4.3B Using Logarithm Properties: Condensing (handwritten)
4.3C Using Logarithm Properties: Expanding (handwritten)
4.3D Using Logarithm Properties: Type III Problems (handwritten)
4.3E Change of Base Formula (handwritten)
4.4A Exponential Equations (handwritten)
4.4B Logarithmic Equations (handwritten)
4.5 Exponential and Logarithmic Models (handwritten)
TRIG NOTES
T3.1 Circles and Revolutions
T3.2 The Wrapping Function
T3.3 The Wrapping Function at Multiples of pi and pi/2
T3.4 The Wrapping Function at Multiples of pi/4
T3.5 The Wrapping Function at Multiples of pi/3 and pi/6
T3.6 The Trigonometric Functions: Definitions
T3.7 Domain and Range of the Trigonometric Functions
T3.8 Trigonometric Functions: Periodicity
T3.9 Trigonometric Functions: Even/Odd Behavior
T3.10 Elementary Trigonometric Relationships