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Polynomials | |
Factoring | |
Rational Expressions | |
Equations | |
Inequalities | |
Exponents | |
Radicals | |
Linear Functions | |
Slopes and Equations of Lines | |
Linear Functions and Applications | |
The Least Squares Line | |
Nonlinear Functions | |
Properties of Functions | |
Quadratic Functions | |
Translation and Reflection | |
Polynomial and Rational Functions | |
Exponential Functions | |
Logarithmic Functions | |
Applications | |
Growth and Decay | |
Mathematics of Finance | |
The Derivative | |
Limits | |
Continuity | |
Rates of Change | |
Definition of the Derivative | |
Graphical Differentiation | |
Calculating the Derivative | |
Techniques for Finding Derivatives | |
Derivatives of Products and Quotients | |
The Chain Rule | |
Derivatives of Exponential Functions | |
Derivatives of Logarithmic Functions | |
Graphs and the Derivative | |
Increasing and Decreasing Functions | |
Relative Extrema | |
Higher Derivatives, Concavity, and the Second Derivative Test | |
Curve Sketching | |
Applications of the Derivative | |
Absolute Extrema | |
Applications of Extrema | |
Further Business Applications: Economic Lot Size, Economic Order Quantity | |
Elasticity of Demand | |
Implicit Differentiation | |
Related Rates | |
Differentials: Linear Approximation | |
Integration | |
Antiderivatives | |
Substitution | |
Area and the Definite Integral | |
The Fundamental Theorem of Calculus | |
The Area Between Two Curves | |
Numerical Integration | |
Further Techniques and Applications of Integration | |
Integration by Parts | |
Volume and Average Value | |
Continuous Money Flow | |
Improper Integrals | |
Multivariable Calculus | |
Functions of Several Variables | |
Partial Derivatives | |
Maxima and Minima | |
Lagrange Multipliers | |
Total Differentials and Approximations | |
Double Integrals | |
Differential Equations | |
Solutions of Elementary and Separable Differential Equations | |
Linear First-Order Differential Equations | |
Euler's Method | |
Applications of Differential Equations | |
Probability and Calculus | |
Continuous Probability Models | |
Expected Value and Variance of Continuous Random Variables | |
Special Probability Density Functions | |
Sequences and Series | |
Geometric Sequences | |
Annuities: An Application of Sequences | |
Taylor Polynomials at 0 | |
Infinite Series | |
Taylor Series | |
Newton's Method | |
L'HÃ´pital's Rule | |
The Trigonometric Functions | |
Definitions of the Trigonometric Functions | |
Derivatives of Trigonometric Functions | |
Integrals of Trigonometric Functions | |
Tables | |
Table | |
Formulas from Geometry | |
Table | |
Area Under a Normal Curve | |
Table | |
Integrals | |
Table | |
Integrals Involving Trigonometric Functions | |
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