M1431 Precalculus
Ch 1 - Review Topics
1.2 A Review of Applications of Linear Equations
1.3 Review of Imaginary Numbers
1.4 Review of Quadratic Equations
1.5 Review of Applications of Quadratic Equations
1.6 Review of Rational Equations, Radical Equations, and Equations that Use Quadratic Form
1.7 Review of Inequalities, Quadratic Inequalities, and Rational Inequalities
1.8 Review of Absolute Value Equations and Inequalities
Ch 2 - Functions and Graphs
2.1 Review of Graphing and Functions
2.2 Circles
2.3 Functions and Intervals of Increasing or Decreasing
2.4 Review of Lines and Linear Functions
2.5 Review of Equations of Lines
2.6 Review of Nonlinear Graphs, Piecewise Functions, and the Greastest Integer Function
2.7 Review of Translations and Reflections
2.8 Function Operations and the Difference Quotient
Ch 3 - Polynomials and the Fundamental Theorem of Algebra
3.1 Quadratic Functions
3.2 Synthetic Division and the Remainder Theorem
3.3 Polynomials, The Fundamental Theorem of Algebra, and Factoring Polynomials
3.4 Graphing Polynomials
3.5 Rational Functions, Asymptotes, and Graphing
3.7 Variation
Ch 4 - Logarithms and Exponentials
4.1 Inverse Functions
4.2 Exponential Functions and Basic Exponential Equations
4.3 Logarithms and Properties of Logarithms
4.4 Change of Base Theorem
4.5 Exponential and Logarithmic Equations
4.6 Exponential Growth and Decay
Ch 5 - Systems of Equations and Matrices
5.1 Systems of Linear Equations
5.2 Matrices and the Gaus-Jordan Method
5.3 Determinants of Matrices
5.5 Nonlinear Systems of Equations
5.7 Properties and Operations with Matrices
5.8 Inverse Matrices
6.1 Introduction to Conic Sections and Parabolas
6.2 Ellipses as Conic Sections
6.3 Hyperbolas as Conic Sections
6.4 Summary of Conic Sections
Ch 7 - Sequences and Series
7.1 Introduction to Sequences and Series
7.2 Arithmetic Sequences and Series
7.3 Geometric Sequences and Series
7.4 The Binomial Theorem