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 Combinatorics 1 Combinatorics 2 Combinatorics 3 New! Tangents to Circles The Inscribed Circle The Supercribed Circle Trigonometry