Cover image for Schaum's outline of theory and problems of precalculus
Title:
Schaum's outline of theory and problems of precalculus
Personal Author:
Series:
Schaum's outline
Publication Information:
New York : McGraw-Hill, 1998
ISBN:
9780070572614

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30000010029287 QA157 S23 1998 Open Access Book Book
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Summary

Summary

This text reviews algebra and trigonometry and prepares students for first year calculus courses at university. It shows in simple steps how to apply the basic principles to actual problems, and is suitable for struggling students who want to master the basics before starting a university level calculus course.


Table of Contents

Polynomials
Exponents
Rational and Radical Expresions
Linear and Non-Linear Equations
Linear and Non-Linear Inequalities
Absolute Value in Equations and Inequalities
Analytic Geometry
Functions
Linear Functions
Transformations and Graphs
Quadratic Functions
Algebra of Functions
Polynomial Functions
Rational Functions
Algebraic Functions; Variations
Exponential Functions
Logarithmic Functions
Exponential and Logarithmic Equations
Trigonometric Functions
Graphs of Trigonometric Functions
Angles
Trigonometric Identities and Equations
Sum, Difference, Multiple, and Half-Angle Formulas
Inverse Trigonometric Functions
Triangles
Vectors
Polar Coordinates; Parametric Equations
Trigonometric Form of Complex Numbers
Systems of Linear Equations
Gaussian and Gauss-Jordan Elimination
Partial Fraction Decomposition
Non-Linear Systems of Equations
Introduction to Matrix Algebra
Matrix Multiplication and Inverses
Determinants and Cramer's Rule
Loci; Parabolas
Ellipses and Hyperbolas
Rotation of Axes
Conic Sections
Sequences and Series
The Principle of Mathematical Induction
Special Sequences and Series
The Binomial Theorem