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MATH 152: Calculus II

Fall 2022

Lectures: Mondays, Wednesdays and Fridays 8:30am in B9200

The course website is on Canvas at https://www.sfu.ca/canvas

Video for Lecture 1 on Antiderivatives
Video for Lecture 6 on Substitutions Better video for Lecture 6 on Substitutions

Topics

I am experimenting with an 8 assignment 3 midterm model that we tried out during the pandemic. Each assignment covers 4 lectures of material and after each two assignments we have a midterm or the final.

We will cover these sections in Stewart.

  • 4.9 Antiderivatives (Video)
  • 5.1 Areas and Distances
  • 5.2 The Definite Integral
  • 5.3 The Fundamental Theorem of Calculus

  • 5.4 Indefinite Integrals and Distances
  • 5.5 The Substitution Rule (Video)
  • 6.1 Areas between Curves
  • 6.2 Volumes

  • 6.5 Average of a Function
  • 7.1 Integration by Parts
  • 7.2 Trigonometric Integrals
  • 7.3 Trigonometric Substitution

  • 7.4 Partial Fractions
  • 7.5 Strategy for Integration
  • 7.6 Integration using Computer Algebra Systems
  • 7.7 Approximate Integration
  • 7.8 Improper Integrals

  • 8.1 Arc Length
  • 8.2 Area of a Surface of Revolution
  • 10.2 Calculus with Parametric Curves
  • 11.1 Sequences

  • 11.2 Series
  • 11.3 The Integral Test
  • 11.4 The Comparison Tests
  • 11.5 Alternating Tests
  • 11.6 Absolute Convergence and the Ratio Test

  • 11.7 Strategy for Testing Series
  • 11.8 Power Series
  • 11.9 Representation of Functions as Power Series
  • 11.10 Taylor and Maclaurin Series

  • 11.11 Applications of Taylor Polynomials
  • 9.1 Modelling with Differential Equations
  • 9.3 Separable Equations
  • 7.4 Rationalizing Substitutions
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