Lecture Notes and Sample Exams

College Algebra and Trigonometry

 College Algebra Review of Systems of Equations Factoring by Completing the Square (Review) Applications of Linear Equations The Pythagorean Theorem Remainder Theorem Nonlinear Systems Arithmetic Sequences Exercises in Symmetry Functions - Definition Graphical Solutions Quadratic Inequalities Updated! Rational Inequalites:   The Coolest Method   Two Other Methods   One More Method Domain of Functions (no logarithms) Domain of Functions (with logarithms) The Arithmetic and Geometric Means The Arithmetic, Geometric, and Harmonic Means Complex Numbers Optimization New! Roots and Coefficients in Quadratic Equations Equations with Parameters Tangent Lines (completing the square) Tangent Lines (quadratic formula) Logarithms 1 New! Logarithms 1.5 Basic functions and their properties Transformations on graphs Rules of Logarithms (formulas only) Logarithms 2 Basic Exponential and Logarithmic Equations Exponential Equations Geometric Sequences The Fibonacci Sequence Circles - Part 1 Circles - Part 2 Intersections Inverse Functions New!Higher Degree Inequalities Limits at Infinity: Part 1, Part 2 Limits at infinity Graphing Polynomials - 1 Graphing Factored Polynomials Graphing the Reciprocal of a Function Discontinuities of Rational Functions Graphing Rational Functions Factoring Polynomials Division of Polynomials New! Division of Polynomials and Applications Equation of an ellipse Induction Summation Thales's Theorem New! Combinatorics 1 New! Combinatorics 2 New! Combinatorics 3 New! The Inscribed Circle New! The Supercribed Circle Trigonometry The Pythagorean Theorem Similar Triangles Arcs and Sectors in a Circle Right Triangle Trigonometry Trig Function Values of Famous Angles Simplifying Trigonomic Expressions All Trigonometric Identities Trigonometric Identities 1 Computing Trigonometric Expressions Unit Circle Definitions Symmetries of the Unit Circle All Trigonometric Equations Trigonometric Equations 1 Graphing Basic Trigonometric Functions (sinx, cosx, tanx) Graphing All Six Trigonometric Functions Trigonometric Identities 2 Trigonometric Equations 2 Proof of Sum Formulas Trigonometric Identities 3 Trigonometric Identities 4 Trigonometric Equations 3 Trigonometric Equations 4 Trigonometric Equations 5 Law of Sines (Older Version) Law of Sines - Part 1 (Newer Version) Law of Sines - Part 2 (the ambigious case) Law of Cosines Triangle Identities Solving Triangles Half-Angle Formulas Product-Sum Identities Graphing Inverse Trigonometric Functions Graphing Trigonometric Functions (practice) Inverse Trigonometric Expressions Vectors 1 (Geometrically Defined) Vectors 2 (Algebraically Defined) Vectors 3 (Dot Product) Vectors New! Medians in a Triangle Graphing in Polar Coordinates