Calculus Guide 1.6

ABOUT Calculus Guide

Simple and convenient calculus guide. This is a best way for you to learn calculus. The following contents are provided : CH 1 Function Function and Graphs Combining Function Trigonometric Function CH 2 Limits and Continuity Limits of Sequences The Limit of a Function Continuity CH 3 Derivatives Derivatives and Rates of Change Derivative as a function Differentiation Formulas Derivatives of Trigonometric Function Chain Rule and Implicit Differentiation Linear Approximation and Differential CH 4 Applications of Differentiation Maximum and Minimum Value The Mean Value Theorem How Derivatives affect the shape of a graph Newton's Method CH 5 Integrals Indefinite Integral Definite Integral Application of Integration CH 6 Techniques of Integration Integration by Part Trigonometric Integrals Integration of Rational Functions by Partial Fractions Integral Formula CH 7 Inverse Function Inverse Function Exponential Function and their Derivatives logarithmic function Inverse Trigonometric Functions Hyperbolic Function Indeterminate Form and L'Hospital's Rule CH 8 Infinite Sequences and Series Sequence Series The Integral Test and Estimates of Sums The Comparison Test Alternating Series Absolute Convergence and The Ratio and Root Test Power Series Taylor and Maclaurin Series CH 9 Vector Three-Dimensional Coordinate system Vectors The Dot Product The Cross Product Equation of Line and Planes CH 10 Vector Functions Vector Functions and Space Curve Derivatives and Integrals of Vector Function Arc Length and Curvature Motion in Space: Velocity and Acceleration CH 11 Partial Derivatives Functions of Several Variables Limits and Continuity Partial Derivatives Tangent Planes and Linear Approximations The Chain Rule Directional Derivatives and the Gradient Vector Maximum and Minimum Values Lagrange Multipliers CH 12 Multiple Integrals Double Integrals over Rectangles Iterated Integrals Double Integrals over General Regions Double Integrals in Polar Coordinate Applications of Double Integrals Triple Integrals Triple Integrals in Cylindrical Coordinates and Spherical Coordinates Change of Variables In Multiple Integrals CH 13 Vector Calculus Vector Fields Line Integrals The Fundamental Theorem for Line Integrals and Green's Theorem Curl and Divergence Surface Integrals