16-21 1.4 Circular Motion, pp. 8-15 1.3 The Velocity at an Instant, pp. 1-7 1.2 Calculus Without Limits, pp. 1-43 1.1 Velocity and Distance, pp. 1: Introduction to Calculus, pp.
Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. Ulbrich, Michael, Semismooth Newton Methods for Variational Inequalities and.This book is a high-level introduction to vector calculus based solidly on differential forms. C., Introduction to Optimization and Semidifferential Calculus. I have included versions with both color figures and black and white figures (the "black and white" files are roughly 1/3 the size of the "color" files).Math 1 reviews relevant techniques from algebra and pre-calculus, covers the manipulation and analysis of functions, including polynomial, trigonometric, logarithmic, and exponential functions, an introduction to convergence and limits, continuity, rates of change and derivatives, differentiation rules, and applications to approximation.Files with Black and White Figures (or No Figures at All) Chapter 1: Limits and Continuity.Delfour, M.
Section 2-2: The Derivative as a Rate of Change. Section 2-1: The Derivative as a Function. Section 1-3: Limits Involving Infinity. Section 1-2: Finding Limits and One-Sided Limits. PS.Mathematics Learning Centre Introduction to Differential Calculus Christopher Thomas c 1997 University of Sydney Acknowledgements Some parts of this booklet. Section 1-1: Rates of Change and Limits.
Section 3-3: The Shape of a Graph. Section 3-2: The Mean Value Theorem and Differential Equations. Section 3-1: Extreme Values of Functions. Section 2-6: Implicit Differentiation. Section 2-5: The Chain Rule and Parametric Equations. Section 2-4: Derivatives of Trigonometric Functions.
Section 5-2: Modeling Using Cylindrical Shells. Section 5-1: Volumes by Slicing and Rotation About an Axis. Section 4-7: Numerical Integration. Section 4-6: Substitution in Definite Integrals. Section 4-5: The Mean Value and Fundamental Theorems. Section 4-4: Riemann Sums and Definite Integrals.
PS.Chapter 6: Transcendental Functions and Differential Equations. Section 5.6: Moments and Centers of Mass. Section 5.4: Springs, Pumping, and Lifting.
Section 6.6: Euler's Method: Population Models. Section 6.5: Linear First-Order Differential Equations. Section 6.4: First-Order Seperable Differential Equations. Section 6.3: Derivatives of Inverse Trigonometric Functions Integrals.
Section 7.5: Integral Tables, Computer Algebra Systems, and Monte Carlo Integration. Section 7.4: Trigonometric Substitution. Section 7.3: Partial Fractions. Section 7.2: Integration by Parts. Section 7.1: Basic Integration Formulas. PS.Chapter 7: Integration Techniques, L'Hopital's Rule, and Improper Integrals.
PS.Files with Color Figures Chapter 1: Limits and Continuity. Section 8.10: Fourier Cosine and Sine Series. Section 8.8: Applications of Power Series.
0 kommentar(er)
