R. Algebra Reference | |
Polynomials | |
Factoring | |
Rational Expressions | |
Equations | |
Inequalities | |
Exponents | |
Radicals | |
Functions | |
Lines and Linear Functions | |
The Least Squares Line | |
Properties of Functions | |
Quadratic Functions; Translation and Reflection | |
Polynomial and Rational Functions | |
Exponential, Logarithmic, and Trigonometric Functions | |
Exponential Functions | |
Logarithmic Functions | |
Applications: Growth and Decay | |
Trigonometric Functions | |
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 | |
Derivatives of Trigonometric 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 | |
Implicit Differentiation | |
Related Rates | |
Differentials: Linear Approximation | |
Integration | |
Antiderivatives | |
Substitution | |
Area and the Definite Integral | |
The Fundamental Theorem of Calculus | |
Integrals of Trigonometric Functions | |
The Area Between Two Curves | |
Further Techniques and Applications of Integration | |
Numerical Integration | |
Integration by Parts | |
Volume and Average Value | |
Improper Integrals | |
Multivariable Calculus | |
Functions of Several Variables | |
Partial Derivatives | |
Maxima and Minima | |
Total Differentials and Approximations | |
Double Integrals | |
Linear Algebra | |
Solution of Linear Systems | |
Addition and Subtraction of Matrices | |
Multiplication of Matrices | |
Matrix Inverses | |
Eigenvalues and Eigenvectors | |
Differential Equations | |
Solutions of Elementary and Separable Differential Equations | |
Linear First-Order Differential Equations | |
Euler's Method | |
Linear Systems of Differential Equations | |
Nonlinear Systems of Differential Equations | |
Applications of Differential Equations | |
Probability | |
Sets | |
Introduction to Probability | |
Conditional Probability; Independent Events; Bayes' Theorem | |
Discrete Random Variables; Applications to Decision Making | |
Probability and Calculus | |
Continuous Probability Models | |
Expected Value and Variance of Continuous Random Variables | |
Special Probability Density Functions | |
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