| |
| |
| |
Fundamentals of Algebra | |
| |
| |
Real Numbers | |
| |
| |
Polynomials | |
| |
| |
Factoring Polynomials | |
| |
| |
Rational Expressions | |
| |
| |
Integral Exponents | |
| |
| |
Solving Equations | |
| |
| |
Rational Exponents and Radicals | |
| |
| |
Quadratic Equations | |
| |
| |
Inequalities and Absolute Value | |
| |
| |
| |
Functions and Their Graphs | |
| |
| |
The Cartesian Coordinate System and Straight Lines | |
| |
| |
Equations of Lines | |
| |
| |
Functions and Their Graphs | |
| |
| |
The Algebra of Functions | |
| |
| |
Linear Functions | |
| |
| |
Quadratic Functions | |
| |
| |
Functions and Mathematical Models | |
| |
| |
| |
Exponential and Logarithmic Functions | |
| |
| |
Exponential Functions | |
| |
| |
Logarithmic Functions | |
| |
| |
Exponential Functions as Mathematical Models | |
| |
| |
| |
Mathematics of Finance | |
| |
| |
Compound Interest | |
| |
| |
Annuities | |
| |
| |
Amortization and Sinking Funds | |
| |
| |
Arithmetic and Geometric Progressions )Optional) | |
| |
| |
| |
Systems of Linear Equations and Matrices | |
| |
| |
Systems of Linear Equations: An Introduction | |
| |
| |
Systems of Linear Equations: Unique Solutions | |
| |
| |
Systems of Linear Equations: Undetermined and Overdetermined Systems | |
| |
| |
Matrices | |
| |
| |
Multiplication of Matrices | |
| |
| |
The Inverse of a Square Matrix | |
| |
| |
| |
Linear Programming | |
| |
| |
Graphing Systems of Linear Inequalities in Two Variables | |
| |
| |
Linear Programming Problems | |
| |
| |
Graphical Solution of Linear Programming Problems | |
| |
| |
The Simplex Method: Standard Maximization Problems | |
| |
| |
The Simplex Method: Standard Minimization Problems | |
| |
| |
| |
Sets and Probability | |
| |
| |
Sets and Set Operations | |
| |
| |
The Number of Elements in a Finite Set | |
| |
| |
The Multiplication Principle | |
| |
| |
Permutations and Combinations | |
| |
| |
Experiments, Sample Spaces, and Events | |
| |
| |
Probability | |
| |
| |
Rules of Probability | |
| |
| |
| |
Additional Topics in Probability | |
| |
| |
Use of Counting Techniques in Probability | |
| |
| |
Conditional Probability and Independent Events | |
| |
| |
Bayes' Theorem | |
| |
| |
Distributions of Random Variables | |
| |
| |
Expected Value | |
| |
| |
Variance and Standard Deviation | |
| |
| |
| |
The Derivative | |
| |
| |
Limits | |
| |
| |
Continuity | |
| |
| |
The Derivative | |
| |
| |
Basic Rules of Differentiation | |
| |
| |
The Product and Quotient Rules: Higher-Order Derivatives | |
| |
| |
The Chain Rule | |
| |
| |
Differentiation of Exponential and Logarithmic Functions | |
| |
| |
Marginal Functions in Economics | |
| |
| |
| |
Applications of the Derivative | |
| |
| |
Applications of the First Derivative | |
| |
| |
Applications of the Second Derivative | |
| |
| |
Curve Sketching | |
| |
| |
Optimization | |
| |
| |
| |
Optimization II | |
| |
| |
| |
Integration | |
| |
| |
Antiderivatives and the Rules of Integration | |
| |
| |
Integration by Substitution | |
| |
| |
Area and the Definite Integral | |
| |
| |
The Fundamental Theorem of Calculus | |
| |
| |
Evaluating Definite Integrals | |
| |
| |
Area between Two Curves | |
| |
| |
Applications of the Definite Integral to Business and Economics | |
| |
| |
| |
Calculus of Several Variables | |
| |
| |
Functions of Several Variables | |
| |
| |
Partial Derivatives | |
| |
| |
Maxima and Minima of Functions of Several Variables | |
| |
| |
Linear Inequalities in Two Variables | |
| |
| |
Linear Programming Problems | |
| |
| |
Graphical Solution of Linear Programming Problems | |
| |
| |
The Simplex Method: Standard Maximization Problems | |
| |
| |
The Simplex Method: Standard Minimization Problems | |
| |
| |
| |
Sets and Probability | |
| |
| |
Sets and Set Operations | |
| |
| |
The Number of Elements in a Finite Set | |
| |
| |
The Multiplication Principle | |
| |
| |
Permutations and Combinations | |
| |
| |
Experiments, Sample Spaces, and Events | |
| |
| |
Probability | |
| |
| |
Rules of Probability | |
| |
| |
| |
Additional topics in Probability | |
| |
| |
Use of Counting Techniques in Probability | |
| |
| |
Conditional Probability and Independent Events | |
| |
| |
Bayes' Theorem | |
| |
| |
Distributions of Random Variables | |
| |
| |
Expected Value | |
| |
| |
Variance and Standard Deviation | |
| |
| |
| |
The Derivative | |
| |
| |
Limits | |
| |
| |
Continuity | |
| |
| |
The Derivative | |
| |
| |
Basic Rules of Differentiation | |
| |
| |
The Product and Quotient Rules: Higher-Order Derivatives | |
| |
| |
The Chain Rule | |
| |
| |
Differentiation of Exponential and Logarithmic Functions | |
| |
| |
Marginal Functions in Economics | |
| |
| |
| |
Applications of the Derivative | |
| |
| |
Applications of the First Derivative | |
| |
| |
Applications of the Second Derivative | |
| |
| |
Curve Sketching | |
| |
| |
Optimization I | |
| |
| |
Optimization II | |
| |
| |
| |
Integration | |
| |
| |
Antiderivatives and the Rules of Integration | |
| |
| |
Integration by Substitution | |
| |
| |
Area and the Definite Integral | |
| |
| |
The Fundamental Theorem of Calculus | |
| |
| |
Evaluating Definite Integrals | |
| |
| |
Area between Two Curves | |
| |
| |
Applications of the Definite Integral to Business and Economics | |
| |
| |
| |
Calculus of Several Variables | |
| |
| |
Functions of Several Vari | |