Math 2 Course Topics
Precalculus Mathematics for Calculus (4th
edition) by Stewart, Redlin, Watson (Brooks/Cole)
Categories: 1. Must be covered thoroughly.
2. Must be covered, leaving details
at teacher’s discretion.
3. Cover only when there is extra time.
2 1.1 Real
Numbers
1 1.2 Exponents
and Radicals
1 1.3 Algebraic
Expressions
1 1.4 Fractional
Expressions
1 1.5 Equations
1 1.6 Modeling
with Equations
1 1.7 Inequalities
1 1.8 Coordinate
Geometry
1 1.9 Solving
Equations and Inequalities Graphically
1 1.10 Lines
1 2.1 What
is a Function?
1 2.2 Graphs
of Functions
1 2.3 Applied
Functions: Variation
1 2.4 Average
Rate of Change: Increasing and Decreasing Functions
1 2.5 Transformations
of Functions
1 2.6 Extreme
Values of Functions
1 2.7 Modeling
with Functions
1 2.8 Combining
Functions
1 2.9 One-to-One
Functions and Their Inverses
1 3.1 Polynomial
Functions and Their Graphs
1 3.2 Dividing
Polynomials
1 3.3 Real
Zeros of Polynomials
1 3.4 Complex
Numbers
1 3.5 Complex
Zeros and the Fundamental Theorem of Algebra
1 3.6 Rational
Functions
1 4.1 Exponential
Functions
1 4.2 Logarithmic
Functions
1 4.3 Laws
of Logarithms
1 4.4 Exponential
and Logarithmic Equations
2 4.5 Modeling
with Exponential and Logarithmic Functions
1 5.1 The
Unit Circle
1 5.2 Trigonometric
Functions of Real Numbers
1 5.3 Trigonometric
Graphs
1 5.4 More
Trigonometric Graphs
Note: For chapters 5-6, the following order
is recommended: 6.1, 6.2, 6.3,
5.1, 5.2, 5.3, 5.4, 6.4 and 6.5.
1 6.1 Angle
Measure
1 6.2 Trigonometry
of Right Triangles
1 6.3 Trigonometric
Functions of Angles
1 6.4 The
Law of Sines
1 6.5 The
Law of Cosines
Note: For chapters 5-6, the following order
is recommended: 6.1, 6.2, 6.3,
5.1, 5.2, 5.3, 5.4, 6.4 and 6.5.
1 7.1 Trigonometric
Identities
1 7.2 Addition
and Subtraction Formulas
1 7.3 Double-Angle,
Half-Angle, and Product-Sum Formulas
1 7.4 Inverse
Trigonometric Functions
1 7.5 Trigonometric
Equations
1 7.6 Trigonometric
Form of Complex Numbers: DeMoivre’s Theorem
1 7.7 Vectors
1 7.8 The
Dot Product
1 8.1 Systems
of Equations
1 8.2 Systems
of Linear Equations in Two Variables
2 8.3 Systems
of Linear Equations in Several Variables
3 8.4 Systems
of Linear Equations: Matrices
3 8.5 The
Algebra of Matrices
3 8.6 Inverses
of Matrices and Matrix Equations
1 8.7 Determinants
and Cramer’s Rule
2 8.8 Systems
of Inequalities
1 8.9 Partial
Fractions
1 9.1 Parabolas
1 9.2 Ellipses
1 9.3 Hyperbolas
1 9.4 Shifted
Conics
3 9.5 Rotation
of Axes
1 9.6 Polar
Coordinates
3 9.7 Polar
Equations of Conics
1 9.8 Parametric
Equations
2 10.1 Sequences
and Summation Notation
2 10.2 Arithmetic
Sequences
2 10.3 Geometric
Sequences
3 10.4 Annuities
and Installment Buying
2 10.5 Mathematical
Induction
2 10.6 The
Binomial Theorem
3 11.1 Counting
Principles
3 11.2 Permutations
and Combinations
3 11.3 Probability
3 11.4 Expected
Value
3 12.1 Finding
Limits Numerically and Graphically
3 12.2 Finding
Limits Algebraically
3 12.3 Tangent
Lines and Derivatives
3 12.4 Limits
at Infinity; Limits of Sequences
3 12.4 Areas