Review of Algebra
Sets of Real Numbers, Some Properties of Real Numbers, Exponents and Radicals, Operations with Algebraic Expressions, Factoring, Fractions, Linear Equations, Quadratic Equations
Applications and More Algebra
Applications of Equations, Linear Inequalities, Applications of Inequalities, Absolute Value, Summation Notation, Sequences
Functions and Graphs
Functions, Special Functions, Combinations of Functions, Inverse Functions, Graphs in Rectangular Coordinates, Symmetry, Translations and Reflections, Functions of Several Variables
Lines, Parabolas, and Systems
Lines, Applications and Linear Functions, Quadratic Functions, Systems of Linear Equations, Nonlinear Systems, Applications of Systems of Equations
Exponential and Logarithmic Functions
Exponential Functions, Logarithmic Functions, Properties of Logarithms, Logarithmic and Exponential Equations
Matrix Algebra
Matrices, Matrix Addition and Scalar Multiplication, Matrix Multiplication, Solving Systems by Gaussian Elimination, Inverses
Linear Programming (optional)
Linear Inequalities in Two Variables, Linear Programming, The Simplex Method, Artificial Variables, Minimization, The Dual Problem
Introduction to Probability and Statistics
Basic Counting Principle and Permutations, Combinations and Other Counting Principles, Sample Spaces and Events, Probability, Conditional Probability and Stochastic Processes, Independent Events, Bayes Formula
Additional Topics in Probability
Discrete Random Variables and Expected Value, The Binomial Distribution, Markov Chains
Limits and Continuity
Limits, Continuity, Continuity Applied to Inequalities
Continuous Random Variables
Continuous Random Variables, The Normal Distribution, The Normal Approximation to the Binomial Distribution
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