Warning: this is just a rough outline. For actual schedule with due dates, please go to the schedule page.

Hello! Today is .

Sections of Stewart’s Calculus to be covered:

Main Calc II Topics:

A few additional intro to skills and concepts needed for future courses:

Rough Outline

Week_ Date_ Day_ Assessment_ Topics
1 week1 d2   setting the stage
    d3   11.1 sequences part 1
2 week2 d1   quiz, sec 11.1 part 2: geometric sequence, monotonic sequence, bounded sequence.
    d2   11.1 continue part 2: monotonic sequence theorem, start part 3: epsilon-N arguments
    d3   11.2 part 1(a): intro series, geometric series
3 week3 d1   quiz, review sketching rational functions, 11.2 part 1(b): geometric expansion
    d2   11.2 part 2: divergence test and harmonic series; group work on Sec 11.2 HW
    d3   11.2 part 3: tellescoping sum and simplest case of partial fraction decomposition
4 week4 d1   quiz, 11.4 comparison tests and limit comparison tests (practice)
    d2   group work and presentations with practicing Limit Comparison Test and Ratio Test, 11.6 part 1: ratio test, part 2: root test
    d3   11.6 part 3: growth rates lecture
5 week5 d1   no quiz this week, finish 11.6 part 3 lecture, 11.5 alternating series lecture,
    d2   answer questions from Exam 1 practice questions
    d3   exam 1: everything up to week5 day 1 topics
6 week6 d1   review trig identities, 7.2 trig integrals
    d2   7.3 trig substitution
    d3   quiz, 7.1 integration by parts
7 week7 d1   quiz (7.2-7.3) 7.8 improper integrals type 1: infinite interval,
    d2   7.8 improper integrals type 2: bounded interval
    d3   11.3 integral test and estimates of sum for positive series
8 week8 d1   11.5 alternating series estimate, application of 11.5 alternating series estimate: proving e is irrational
    d2   finish proving e is irrational, review
    d3   exam 2: all techniques of integration, improper integral, integral test, estimates of sum using integral test and alternating series.
9 week9     spring break
10 week10 d1   11.8 power series using 11.6 ratio test (absolute convergence) and 11.2 geometric series test,
    d2   work on HW problems
    d3   11.9 representations of functions as power series
11 week11 d1   11.10 part 1 Intro to Taylor series.
    d2   11.10 part 2 Explain Taylor’s Inequality example. Compute limit of functions using series, other uses of series
    d3   11.10 part 3 Practice Taylor polynomials, 11.10 new power series from old using multiplication and long division.
12 week12 d1   10.1 curves defined by parametric equations, introduce an example of a parametric function for a circle graph, ordinary generating functions, golden ratio, 11.1 continued fraction + silver ratio,
    d2   quiz, 10.2 calculus with parametric curves, tangent and area,
    d3   10.2 practice
13 week13 d1   10.3 polar coordinate part 1: Euler’s formula
    d2   10.3 polar coordinate part 1: polar coordinates
    d3   Sketch polar curves using Cartesian graphs, 10.3 polar coordinate part 2: tangent
14 week14 d1   10.4 areas in polar coordinates,
    d2   9.1 Modeling with differential equations
    d3   9.3 separable equations
15 week15 d1   9.4 modeling for population growth (graph sketch only)
    d2   Review
    d3   exam 3: power series (11.8, 11.9, 11.10, 11.11), Calculus with parametric equations and polar coordinates (10.1-10.4), Intro Differential equations.
16 Wed May 2   3:30-5:30 final exam improper integral, integration techniques (ch 7) + important concepts from sequences and series (ch 11), parametric curves and polar coordinates (10.1-10.4) and intro to modeling with differential equations (9.1, 9.3, 9.4)

List of Sections