Integral Calculus free PDF

Contents

  • Chapter 1. Integrals
    • Areas and Distances. The Definite Integral
    • The Evaluation Theorem, The Fundamental Theorem of Calculus
    • The Substitution Rule , Integration by Parts
    • Trigonometric Integrals and Trigonometric Substitutions
    • Partial Fractions, Integration using Tables and CAS
    • Numerical Integration, Improper Integrals
  • Chapter 2. Applications of Integration
    • More about Areas, Volumes, Arc Length, Parametric Curves
    • Average Value of a Function (Mean Value Theorem)
    • Applications to Physics and Engineering, Probability
  • Chapter 3. Differential Equations
    • Differential Equations and Separable Equations
    • Directional Fields and Euler’s Method
    • Exponential Growth and Decay
  • Chapter 4. Infinite Sequences and Series
    • Sequences, Series, The Integral and Comparison Tests
    • Other Convergence Tests, Power Series
    • Representation of Functions as Power Series
    • Taylor and MacLaurin Series
Description : The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed.), Brooks/Cole. With few exceptions I will follow the notation in the book. PDF book.
Level : Intermediate
Created : March 28, 2016
Size : 527.42 KB
File type : pdf
Pages : 120
Author : Miguel A. Lerma
Downloads : 224
Evaluation: 4.4/5   Total des votes : 9
Tutorial Integral Calculus course Integral Calculus
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