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This is HTML of **Calculus**, Gilbert Strang.

You can read PDFs at MIT OpenCourseWare.

Cover of Calculus, by Professor Gilbert Strang. (Image courtesy of Gilbert Strang.)

- Introduction to Calculus
- Derivatives
- Applications of the Derivative
- The Chain Rule
- Integrals
- Exponentials and Logarithms
- An Overview
- The Exponential e
^{x} - Growth and Decay in Science and Economics
- Logarithms
- Separable Equations Including the Logistic Equation
- Powers Instead of Exponentials
- Hyperbolic Functions

- Techniques of Integration
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitutions
- Partial Fractions
- Improper Integrals

- Applications of the Integral
- Areas and Volumes by Slices
- Length of a Plane Curve
- Area of a Surface of Revolution
- Probability and Calculus
- Masses and Moments
- Force, Work, and Energy

- Polar Coordinates and Complex Numbers
- Polar Coordinates
- Polar Equations and Graphs
- Slope, Length, and Area for Polar Curves
- Complex Numbers

- Infinite Series
- The Geometric Series
- Convergence Tests: Positive Series
- Convergence Tests: All Series
- The Taylor Series for e
^{x}, sin x, and cos x - Power Series

- Vectors and Matrices
- Vectors and Dot Products
- Planes and Projections
- Cross Products and Determinants
- Matrices and Linear Equations
- Linear Algebra in Three Dimensions

- Motion along a Curve
- The Position Vector
- Plane Motion: Projectiles and Cycloids
- Tangent Vector and Normal Vector
- Polar Coordinates and Planetary Motion

- Partial Derivatives
- Surfaces and Level Curves
- Partial Derivatives
- Tangent Planes and Linear Approximations
- Directional Derivatives and Gradients
- The Chain Rule
- Maxima, Minima, and Saddle Points
- Constraints and Lagrange Multipliers

- Multiple Integrals
- Double Integrals
- Changing to Better Coordinates
- Triple Integrals
- Cylindrical and Spherical Coordinates

- Vector Calculus
- Vector Fields
- Line Integrals
- Green's Theorem
- Surface Integrals
- The Divergence Theorem
- Stokes' Theorem and the Curl of F

- Mathematics after Calculus
- Linear Algebra
- Differential Equations
- Discrete Mathematics

- Study Guide For Chapter 1
- Answers to Odd-Numbered Problems
- Index
- Table of Integrals