PreCalc (Multi eBook with WebAssign) by Stitz & Zeager
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Author: Stitz & Zeager
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The book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. Trig is introduced through an integrated circle/triangle approach.
Table of Contents
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Chapter 1: Relations and Functions
1.1: Set of Real Numbers and The Cartesian Coordinate Plane (41)
1.2: Relations (72)
1.3: Introduction to Functions (40)
1.4: Function Notation (57)
1.5: Function Arithmetic (53)
1.6: Graphs of Functions (60)
1.7: Transformations (28) -
Chapter 2: Linear and Quadratic Functions
2.1: Linear Functions (41)
2.2: Absolute Value Functions (69)
2.3: Quadratic Functions (71)
2.4: Inequalities (32)
2.5: Regression (4) -
Chapter 3: Polynomial Functions
3.1: Graphs of Polynomials (53)
3.2: The Factor Theorem and The Remainder Theorem (23)
3.3: Real Zeros of polynomials (26)
3.4: Complex Zeros and the Fundamental Theorem of Algebra (38) -
Chapter 4: Rational Functions
4.1: Introduction to Rational Functions (59)
4.2: Graphs of Rational Functions (24)
4.3: Rational Inequalities and Applications (38) -
Chapter 5: Further Topics in Functions
5.1: Function Composition (53)
5.2: Inverse Functions (23)
5.3: Other Algebraic Functions (58) -
Chapter 6: Exponential and Logarithmic Functions
6.1: Introduction to Exponential and Logarithmic Functions (47)
6.2: Properties of Logarithms (42)
6.3: Exponential Equations and Inequalities (35)
6.4: Logarithmic Equations and Inequalities (30)
6.5: Applications of Exponential and Logarithmic Functions (19) -
Chapter 7: Hooked on Conics
7.1: Introduction to Conics
7.2: Circles (43)
7.3: Parabolas (87)
7.4: Ellipses (101)
7.5: Hyperbolas (86) -
Chapter 8: Systems of Equations and Matrices
8.1: Systems of Linear Equations: Gaussian Elimination (79)
8.2: Systems of Linear Equations: Augmented Matrices (32)
8.3: Matrix Arithmetic (19)
8.4: Systems of Linear Equations: Matrix Inverses (17)
8.5: Determinants and Cramer's Rule (25)
8.6: Partial Fraction Decomposition (18)
8.7: Systems of Non-Linear Equations and Inequalities (29) -
Chapter 9: Sequences and the Binomial Theorem
9.1: Sequences (36)
9.2: Summation Notation (30)
9.3: Mathematical Induction
9.4: The Binomial Theorem (28) -
Chapter 10: Foundations of Trigonometry
10.1: Angles and their Measure (25)
10.2: The Unit Circle: Cosine and Sine (52)
10.3: The Six Circular Functions and Fundamental Identities (57)
10.4: Trigonometric Identities (28)
10.5: Graphs of the Trigonometric Functions (28)
10.6: The Inverse Trigonometric Functions (87)
10.7: Trigonometric Equations and Inequalities (66) -
Chapter 11: Applications of Trigonometry
11.1: Applications of Sinusoids (7)
11.2: The Law of Sines (10)
11.3: The Law of Cosines (15)
11.4: Polar Coordinates (30)
11.5: Graphs of Polar Equations (30)
11.6: Hooked on Conics Again (8)
11.7: Polar Form of Complex Numbers (17)
11.8: Vectors (17)
11.9: The Dot Product and Projection (41)
11.10: Parametric Equations (14)
