Unit I Polynomial and Rational Functions
1. Relations and Functions
2. Rates of Change
3. Polynomial Functions of Higher Degree
4. Division of Polynomials
5. Real Zeros of Polynomial Functions
6. Rational Functions
7. Transformations of Functions
8. Unit I Test

Unit II Exponential and Logarithmic Functions
1. Arithmetic and Geometric Sequence
2. Exponential Functions
3. Composition of Functions and Inverse Functions
4. Logarithmic Functions
5. Properties of Logarithms
6. Exponential and Logarithmic Equations
7. Application of Exponentials and Logarithms
8. Competing Function Model Validation
9. Semi-log Plots
10. Unit II Test

Unit III Trigonometric and Polar Functions
1. Angles and Their Measure
2. Trigonometric Functions of Angles
3. Graphs of Trigonometric Functions
4. Inverse Trigonometric Functions
5. Real-Life Problems with Trigonometry
6. Fundamental Trigonometric Identities
7. Trigonometric Equations and Identities, Part I
8. Trigonometric Equations and Identities, Part II
9. Polar Coordinates and Equations
10. Polar Form of a Complex Numbers
11. Unit III Test

Unit IV Functions Involving Parameters, Vectors, and Matrices
1. Parametric Equations (Functions)
2. Conic Sections: Parabola
3. Conic Sections: Ellipse
4. Conic Sections: Hyperbola
5. Introduction to Vectors
6. Dot Product of the Vectors
7. Application of Vectors
8. The Algebra of Matrices
9. The Inverse of Matrices
10. Determinants and Cramer’s Rule
11. Unit IV Test

Solutions Manual