Course Topics

Textbook

Precalculus 5th ed. by James Stewart, Lothar Redlin and Saleem Watson

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Course Topics

1.1 Real Numbers
1.2 Exponents and Radicals
1.3 Algebraic Expressions
1.4 Rational Expressions
1.5 Equations
1.6 Modeling with Equations
1.7 Inequalities
1.8 Coordinate Geometry
1.10 Lines

1.11 Modeling Variation
2.1 What is a Function?
2.2 Graphs of Functions
2.3 Increasing and Decreasing Functions; Average Rate of Change
2.4 Transformations of Functions
2.5 Quadratic Functions; Maxima and Minima
2.6 Modeling with Functions
2.7 Combining Functions
2.8 One-to-One Functions and Their Inverses
3.1 Polynomial Functions and Their Graphs
3.2 Dividing Polynomials
3.4 Complex Numbers
3.5 Complex Zeros and the Fundamental Theorem of Algebra
3.6 Rational Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Laws of Logarithms
4.4 Exponential and Logarithmic Equations
4.5 Modeling with Exponential and Logarithmic Functions
5.1 The Unit Circle
5.2 Trigonometric Functions of Real Numbers
5.3 Trigonometric Graphs
5.4 More Trigonometric Graphs
6.1 Angle Measure
6.2 Trigonometry of Right Triangles
6.3 Trigonometric Functions of Angles
6.4 The Law of Sines
6.5 The Law of Cosines
7.1 Trigonometric Identities
7.2 Addition and Subtraction Formulas
7.3 Double-Angle, Half-Angle, and Sum-Product
7.4 Inverse Trigonometric Functions
7.5 Trigonometric Equations
9.1 Systems of Equations
9.2 Systems of Linear Equations in Two Variables
9.3 Systems of Linear Equations in Several Variables
9.4 Systems of Linear Equations Equations: Matrices
9.5 The Algebra of Matrices
9.7 Determinants and Cramer's Rule
9.9 Systems of Inequalities
10.1 Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Shifted Conics
11.1 Sequences and Summation Notation
11.2 Arithmetic Sequences
11.3 Geometric Sequences