A Library of Elementary Functions | |
Linear Equations and Graphs | |
Linear Equations and Inequalities | |
Graphs and Lines | |
Linear Regression | |
Review Review Exercise | |
Functions and Graphs | |
Functions | |
Elementary Functions: Graphs and Transformations | |
Quadratic Functions | |
Exponential Functions | |
Logarithmic Functions | |
Review Review Exercise | |
Calculus | |
Limits and the Derivative | |
Introduction to Limits | |
Continuity | |
Infinite Limits and Limits at Infinity | |
The Derivative | |
Basic Differentiation Properties | |
Differentials | |
Marginal Analysis in Business and Economics | |
Review Review Exercise | |
Additional Derivative Topics | |
The Constant e and Continuous Compound Interest | |
Derivatives of Exponential and Logarithmic Functions | |
Derivatives of Products and Quotients | |
The Chain Rule | |
Implicit Differentiation | |
Related Rates | |
Elasticity of Demand | |
Review Review Exercise | |
Graphing and Optimization | |
First Derivative and Graphs | |
Second Derivative and Graphs | |
LHopitals Rule | |
Curve-Sketching Techniques | |
Absolute Maxima and Minima | |
Optimization | |
Review Review Exercise | |
Integration | |
Antiderivatives and Indefinite Integrals | |
Integration by Substitution | |
Differential Equations; Growth and Decay | |
The Definite Integral | |
The Fundamental Theorem of Calculus | |
Review Review Exercise | |
Additional Integration Topics | |
Area between Curves | |
Applications in Business and Economics | |
Integration by Parts | |
Integration Using Tables | |
Review Review Exercise | |
Multivariable Calculus | |
Functions of Several Variables | |
Partial Derivatives | |
Maxima and Minima | |
Maxima and Minima Using Lagrange Multipliers | |
Method of Least Squares | |
Double Integrals over Rectangular Regions | |
Double Integrals over More General Regions | |
Review Review Exercise | |
Trigonometric Functions | |
Trigonometric Functions Review | |
Derivatives of Trigonometric Functions | |
Integration of Trigonometric Functions | |
Review Review Exercise | |
Basic Algebra Review Self-Test on Basic Algebra | |
Algebra and Real Numbers | |
Operations on Polynomials | |
Factoring Polynomials | |
Operations on Rational Expressions | |
Integer Exponents and Scientific Notation | |
Rational Exponents and Radicals | |
Quadratic Equations | |
Special Topics | |
Sequences, Series, and Summation Notation | |
Arithmetic and Geometric Sequences | |
Binomial Theorem C Tables Table I Ba | |
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