MATH 152: Calculus II

Spring 2024

Lectures: Mondays, Wednesdays and Fridays 8:30am in Images Theatre

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

Topics

I am using 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.

Each link goes to my lecture notes for that lecture

4.9 Antiderivatives

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

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

7.7 Approximate Integration

7.8 Improper Integrals

8.1 Arc Length

8.3 Moments and Centres of Mass

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 Series

11.6 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

11.10 Taylor and Maclaurin Series continued

11.11 Applications of Taylor Polynomials

9.1 Modelling with Differential Equations

9.3 Separable Equations