Math 1 Course Topics
College Algebra (4th edition) by Stewart,
Redlin, Watson (Thomson)
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 P.1 Modeling
the Real World
2 P.2 Real
Numbers
1 P.3 Integer
Exponents
1 P.4 Rational
Exponents and Radicals
1 P.5 Algebraic
Expressions
1 P.6 Factoring
1 P.7 Rational
Expressions
1 1.1 Basic
Equations
1 1.2 Modeling
with Equations
1 1.3 Quadratic
Equations
1 1.4 Complex
Numbers
1 1.5 Other
Types of Equations
1 1.6 Inequalities
1 1.7 Absolute
Value Equations and Inequalities
1 2.1 The
Coordinate Plane
1 2.2 Graphs
of Equations in Two Variables
3 2.3 Graphing
Calculators; Solving Equations and Inequalities Graphically
1 2.4 Lines
1 2.5 Modeling:
Variation
1 3.1 What
is a Function?
1 3.2 Graphs
of Functions
1 3.3 Increasing
and Decreasing Functions: Average Rate of Change
1 3.4 Transformation
of Functions
1 3.5 Quadratic
Functions; Maxima and Minima
1 3.6 Combining
Functions
1 3.7 One-to-One
Functions and Their Inverses
1 4.1 Polynomial
Functions and Their Graphs
1 4.2 Dividing
Polynomials
1 4.3 Real
Zeros of Polynomials
1 4.4 Complex
Zeros and the Fundamental Theorem of Algebra
1 4.5 Rational
Functions
1 5.1 Exponential
Functions
1 5.2 Logarithmic
Functions
1 5.3 Laws
of Logarithms
1 5.4 Exponential
and Logarithmic Equations
2 5.5 Modeling
with Exponential and Logarithmic Functions
1 6.1 Systems
of Equations
1 6.2 Systems
of Linear Equations in Two Variables
2 6.3 Systems
of Linear Equations in Several Variables
2 6.4 Systems
of Inequalities
1 6.5 Partial
Fractions
3 7.1 Matrices
and Systems of Linear Equations
3 7.2 The
Algebra of Matrices
3 7.3
Inverses
of Matrices and Matrix Equations
1 7.4 Determinants
and Cramer’s Rule
1 8.1 Parabolas
1 8.2 Ellipses
1 8.3 Hyperbolas
1 8.4 Shifted
Conics
2 9.1 Sequences
and Summation Notation
2 9.2 Arithmetic
Sequences
2 9.3 Geometric
Sequences
3 9.4 Mathematics
of Finance
2 9.5 Mathematical
Induction
2 9.6 The
Binomial Theorem
3 10.1 Counting
Principles
3 10.2 Permutations
and Combinations
3 10.3 Probability
3 10.4 Binomial
Probability
3 10.5 Expected
Value