Precalculus
Andrew Pak
978-1-68036-857-4
First Edition
This text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. The author has taught mathematics for over 30 years and in his experience he has learned that students learn the material best when given a large number of examples. So he has included more example problems than what is typically seen in most textbooks. He also tried to infuse a sense of place into the application problems and has included problems dealing with sustainability.
It is everything that students ask for in a precalculus text: it’s affordable, easy to read, with lots of examples and challenging exercises.
Rectangular Coordinates
1.1 Lines
1.2 More on Rectangular Coordinates
Functions
2.1 Relations and Functions
2.2 Graphs of Relations and Functions
2.3 Transformations
2.4 Operations With Functions
2.5 Inverse Functions
2.6 Variation
Polynomial and Rational Functions
3.1 Complex Numbers
3.2 Quadratic Functions
3.3 Polynomial Functions
3.4 Real Zeros of Polynomial Functions
3.5 Complex Zeros of Polynomial Functions
3.6 Graphs of Polynomial Functions
3.7 Rational Functions and Inequalities
Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Properties of Logarithms
4.4 Equations and Applications
Trigonometry
5.1 Preliminary Concepts
5.2 The Sine and Cosine Functions
5.3 The Graphs of Sine and Cosine Functions
5.4 The Other Trigonometric Functions and Their Graphs
5.5 The Inverse Trigonometric Functions
5.6 Right Angle Trigonometry
Trigonometric Identities and Equations
6.1 Trigonometric Identities
6.2 Sum and Difference Formulas
6.3 Double-Angle and Half-Angle Formulas
6.4 Product and Sum Identities
6.5 Conditional Trigonometric Equations
Applied Trigonometry
7.1 The Law of Sines and The Law of Cosines
7.2 Vectors
7.3 Trigonometric Form of Complex Numbers
7.4 Polar Equations
The Conic Sections
8.1 The Parabola
8.2 Circles and Ellipses
8.3 Hyperbolas