Math 1A/1B: Pre-Calculus (English)

Course Information

This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

Mathematics Dept. | Physical Sciences Sch. | University of California, Irvine
Keywords: calculus,algebra,trigonometry,functions,graphs,polynomials,rational functions,exponentials,logarithms,oer
Share on Facebook Share on Twitter
Author:
Sarah Eichhorn
Title:
Lecturer
Department:
Mathematics
Author:
Rachel Lehman
Title:
Lecturer
Department:
Mathematics

Creative Commons License

Math 1A/1B: Pre-Calculus by Dr. Sarah Eichorn and Dr. Rachel Lehman is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Provide a Testimonial

Algebra and Geometry Review

Math 1A/1B. Pre-Calculus: Algebra and Geometry Review (English)
Math 1A/1B. Pre-Calculus: Absolute Value Equations (English)
Math 1A/1B. Pre-Calculus: Absolute Value Inequalities (English)
Math 1A/1B. Pre-Calculus: Adding and Subtracting Polynomials (English)
Math 1A/1B. Pre-Calculus: Adding and Subtracting Rational Expressions (English)
Math 1A/1B. Pre-Calculus: Algebraic Symbol Manipulation (English)
Math 1A/1B. Pre-Calculus: Area and Perimeter Word Problems (English)
Math 1A/1B. Pre-Calculus: Simplifying Fractions (English)
Math 1A/1B. Pre-Calculus: Compound Inequalities (English)
Math 1A/1B. Pre-Calculus: Complex Numbers and Radicals (English)
Math 1A/1B. Pre-Calculus: Solving a Quadratic Equation - Completing the Square (English)
Math 1A/1B. Pre-Calculus: Discriminant (English)
Math 1A/1B. Pre-Calculus: Dividing Rational Expressions (English)
Math 1A/1B. Pre-Calculus: Distance-Rate-Time (English)
Math 1A/1B. Pre-Calculus: Factoring by Grouping (English)
Math 1A/1B. Pre-Calculus: Factoring a Quadratic Expression (English)
Math 1A/1B. Pre-Calculus: Properties of Integer Exponents (English)
Math 1A/1B. Pre-Calculus: Linear Inequality Word Problems (English)
Math 1A/1B. Pre-Calculus: Linear Word Problems (English)
Math 1A/1B. Pre-Calculus: Mixture Problems Using Linear Equations (English)
Math 1A/1B. Pre-Calculus: Multiplication of Binomials (English)
Math 1A/1B. Pre-Calculus: Multiple Operations with Complex Numbers (English)
Math 1A/1B. Pre-Calculus: Multiple Operations with Polynomials (English)
Math 1A/1B. Pre-Calculus: Multiplication of Polynomials (English)
Math 1A/1B. Pre-Calculus: Multiplying Rational Expressions (English)
Math 1A/1B. Pre-Calculus: Multiplication Involving Square Roots (English)
Math 1A/1B. Pre-Calculus: Adding and Subtracting Complex Numbers (English)
Math 1A/1B. Pre-Calculus: Multiplying Complex Numbers (English)
Math 1A/1B. Pre-Calculus: Dividing Complex Numbers (English)
Math 1A/1B. Pre-Calculus: Percentage Word Problems (English)
Math 1A/1B. Pre-Calculus: Properties of Real Numbers (English)
Math 1A/1B. Pre-Calculus: Quadratic Formula (English)
Math 1A/1B. Pre-Calculus: Quadratic Equation Word Problems (English)
Math 1A/1B. Pre-Calculus: Rationalizing a Denominator (English)
Math 1A/1B. Pre-Calculus: Rational Exponents (English)
Math 1A/1B. Pre-Calculus: Scientific Notation (English)
Math 1A/1B. Pre-Calculus: The Set of Real Numbers (English)
Math 1A/1B. Pre-Calculus: Simplifying Powers of i (English)
Math 1A/1B. Pre-Calculus: Simplified Radical Form (English)
Math 1A/1B. Pre-Calculus: Simplifying a Ratio of Polynomials (English)
Math 1A/1B. Pre-Calculus: Solving an Equation Quadratic in Form (English)
Math 1A/1B. Pre-Calculus: Solving Linear Equations (English)
Math 1A/1B. Pre-Calculus: Solving a Linear Inequality (English)
Math 1A/1B. Pre-Calculus: Solving a Quadratic Equation, Part 1 (English)
Math 1A/1B. Pre-Calculus: Square Root Property (English)
Math 1A/1B. Pre-Calculus: Solving Equations Involving Radicals (English)
Math 1A/1B. Pre-Calculus: Inequalities Involving Radicals (English)
Math 1A/1B. Pre-Calculus: Solving Rational Equations, Part 1 (English)
Math 1A/1B. Pre-Calculus: Solving Rational Equations, Part 2 (English)
Math 1A/1B. Pre-Calculus: Special Factoring Formulas (English)
Math 1A/1B. Pre-Calculus: Square Root Addition and Subtraction (English)

Functions and Graphs

Math 1A/1B. Pre-Calculus: Intro to Functions and Graphs (English)
Math 1A/1B. Pre-Calculus: Circle Equations (English)
Math 1A/1B. Pre-Calculus: Composition of Functions, Part 1 (English)
Math 1A/1B. Pre-Calculus: Composition of Functions, Part 2 (English)
Math 1A/1B. Pre-Calculus: Composition of Functions, Part 3 (English)
Math 1A/1B. Pre-Calculus: Difference Quotient (English)
Math 1A/1B. Pre-Calculus: Distance in the Plane (English)
Math 1A/1B. Pre-Calculus: Domain (English)
Math 1A/1B. Pre-Calculus: Domain and Intercepts (English)
Math 1A/1B. Pre-Calculus: Finding the Domain and Range from a Graph (English)
Math 1A/1B. Pre-Calculus: Equations of Quadratic Functions (English)
Math 1A/1B. Pre-Calculus: Evaluating Functions (English)
Math 1A/1B. Pre-Calculus: Piecewise-Defined Functions (English)
Math 1A/1B. Pre-Calculus: Finding the Inverse of a Function (English)
Math 1A/1B. Pre-Calculus: Functions and the Vertical Line Test (English)
Math 1A/1B. Pre-Calculus: Graphing a Line (English)
Math 1A/1B. Pre-Calculus: Graphing a Parabola, Part 1 (English)
Math 1A/1B. Pre-Calculus: Graphing a Parabola, Part 2 (English)
Math 1A/1B. Pre-Calculus: Graph Transformations, Part 1 (English)
Math 1A/1B. Pre-Calculus: Graph Transformations, Part 2 (English)
Math 1A/1B. Pre-Calculus: Increasing/Decreasing/Constant (English)
Math 1A/1B. Pre-Calculus: Inverse Functions (English)
Math 1A/1B. Pre-Calculus: Equations of Lines (English)
Math 1A/1B. Pre-Calculus: Maximum/Minimum Quadratic Function Word Problems (English)
Math 1A/1B. Pre-Calculus: Midpoint (English)
Math 1A/1B. Pre-Calculus: Odd and Even Functions (English)
Math 1A/1B. Pre-Calculus: Parallel and Perpendicular Lines (English)
Math 1A/1B. Pre-Calculus: Plotting Points in the Rectangular Coordinate System (English)
Math 1A/1B. Pre-Calculus: Quadratic Inequalities (English)
Math 1A/1B. Pre-Calculus: Relation Versus Functions (English)
Math 1A/1B. Pre-Calculus: The Slope of a Line (English)
Math 1A/1B. Pre-Calculus: Finding the Slope of a Line Given Its Equation (English)
Math 1A/1B. Pre-Calculus: Converting a Quadratic Function from Standard to Vertex Form (English)
Math 1A/1B. Pre-Calculus: Sum, Difference, Product, and Quotient of Two Functions (English)
Math 1A/1B. Pre-Calculus: Verifying Inverse Functions (English)

Trigonometry

Math 1A/1B. Pre-Calculus: Intro to Trigonometry (English)
Math 1A/1B. Pre-Calculus: Coterminal Angles (English)
Math 1A/1B. Pre-Calculus: Converting Between Degrees-Minutes-Seconds and Degrees (English)
Math 1A/1B. Pre-Calculus: Converting Between Degrees and Radians (English)
Math 1A/1B. Pre-Calculus: Half-Angle Identities, Part 1 (English)
Math 1A/1B. Pre-Calculus: Half-Angle Identities, Part 2 (English)
Math 1A/1B. Pre-Calculus: Compositions Involving Inverse Trigonometric Functions, Part 1 (English)
Math 1A/1B. Pre-Calculus: Compositions Involving Inverse Trigonometric Functions, Part 2 (English)
Math 1A/1B. Pre-Calculus: Inverse Trigonometric Values (English)
Math 1A/1B. Pre-Calculus: Law of Cosines Word Problem (English)
Math 1A/1B. Pre-Calculus: Law of Sines and Cosines - ASA Case (English)
Math 1A/1B. Pre-Calculus: Law of Sines and Cosines - SAS Case (English)
Math 1A/1B. Pre-Calculus: Law of Sines and Cosines - SSA Case (English)
Math 1A/1B. Pre-Calculus: Law of Sines and Cosines - SSS Case (English)
Math 1A/1B. Pre-Calculus: Law of Sines Word Problem (English)
Math 1A/1B. Pre-Calculus: Reference Angles (English)
Math 1A/1B. Pre-Calculus: Right Triangle Trigonometry (English)
Math 1A/1B. Pre-Calculus: Right Triangle Word Problems (English)
Math 1A/1B. Pre-Calculus: Sketching an Angle in Standard Position (English)
Math 1A/1B. Pre-Calculus: Solving Trigonometric Equations, Part 1 (English)
Math 1A/1B. Pre-Calculus: Solving Trigonometric Equations, Part 2 (English)
Math 1A/1B. Pre-Calculus: Solving Trigonometric Equations, Part 3 (English)
Math 1A/1B. Pre-Calculus: Sum and Difference Identities, Part 1 (English)
Math 1A/1B. Pre-Calculus: Sum and Difference Identities, Part 2 (English)
Math 1A/1B. Pre-Calculus: Sum and Difference Identities, Part 3 (English)
Math 1A/1B. Pre-Calculus: Solving Trigonometric Equations Quadratic in Form (English)
Math 1A/1B. Pre-Calculus: Trigonometric Values Given Information About the Angle, Part 1 (English)
Math 1A/1B. Pre-Calculus: Trigonometric Values Given Information About the Angle, Part 2 (English)
Math 1A/1B. Pre-Calculus: Trigonometric Values of Special Angles (English)
Math 1A/1B. Pre-Calculus: Trigonometric Values Given a Point on the Unit Circle (English)
Math 1A/1B. Pre-Calculus: Verifying Trigonometric Identities (English)
Math 1A/1B. Pre-Calculus: Verifying Trigonometric Identities - Double Angle Formulas (English)
Math 1A/1B. Pre-Calculus: Verifying Trigonometric Identities - Sum & Difference Formulas (English)