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