• See here for the syllabus.

Announcements

  • (9/27) To turn in your unit 1 metacognition diary on Friday, 9/29: after the exam you should have one final entry, reflecting on the unit as a whole. After you finish that, either email me your diary or drop off a physical copy at my office. (If I’m not there, leave it in the mailbox.)

  • (9/25) For the midterm week I am holding extra office hours. In addition to the times on the syllabus, I’ll be in my office M 2:30–3:30, T 9:00–11:00, W 8:30–9:00 and 3:30–4:00.

  • (9/22) For the midterm, you will get a formula sheet with the formulas for arc length and surface area. For the other formulas you need: if you can remember the picture for breaking the problem up into infinitely small pieces, that picture gives you the formula.

  • (9/19) Remember that the first midterm is Friday, September 29th.

  • (9/19) Here is a study guide for the first midterm.

  • (9/11) The tutor for calc 2, Cathy Zhang, will be holding review sessions on Fridays 6–7pm.

Homework

For each assignment I will pick 2 to 4 of the bolded problems to grade and give you feedback on. That will comprise 80% of your grade for the assignment, with the remaining 20% being based on completion.

  • Week 6 (due Monday 10/16):

    3.1 (p270) 6, 7, 16, 41

    *** Can you use integration by parts to evaluate $\int x^{1000}e^x \,\mathrm{d}x$? If so, explain what the process would be and why you know your process would eventually give an answer. If not, explain why the process won’t ever give an answer. (Please don’t actually try to compute this integral!)

    *** Same question but for $\int e^x \ln x \,\mathrm{d}x$. (Again, please don’t try to actually compute it!)

    3.2 (p283) 73, 74, 96, 121, 124, 125

  • Week 5: No homework due to midterm Friday.

  • Week 4 (due Monday 9/25):

    2.6 (p217) 261, 262, 268

    *** The uniform probability distribution on an interval $[a,b]$ is the one given by the distribution function $\rho(x) = \frac{1}{b-a}$, with the domain $a \le x \le b$. Check that this really is a probability distribution function and determine its mean. Write a sentence or two giving an intuitive explanation for why its mean should be what you calculated.

    2.7 (p230) 296, 298, 299, 322, 332, 333

    2.8 (p141) 348, 357, 367, 374–376

  • Week 3 (due Monday 9/18):

    2.4 (p180) 166, 168, 170, 176, 180, 185, 196, 205, 216

    2.5 (p199) 223, 226, 239

  • Week 2 (due Monday 9/11):

    2.2 (p150) 62, 68, 75, 77, 83, 88, 100

    2.3 (p166) 130, 132, 140, 143

  • Week 1 (due Monday 9/4):

    1.4 (p73) 209, 210;

    1.5 (p90) 255, 276;

    1.6 (p103) 320, 328;

    1.7 (p111) 392;

    2.1 (p131) 5, 6, 9, 35. [Note: chapter 1 is a review of material you should have covered in calc 1.]

In-class Worksheets

Schedule

This course is organized into three units. Units 1 and 2 each end in a midterm, while unit 3 ends in an oral final discussion. Homework is assigned weekly (except on exam weeks), and is due Monday the following week.

The schedule below is tentative; we might have small adjustments in the dates. For each week I’ve included which sections from the textbook we will be covering.

  • Unit 1 (8/28–9/29): Applications of integration

    • Week 1: Intro, review, area between curves [1.4, 1.5, 1.6, 1.7, 2.1]

    • Week 2: Volume [2.2, 2.3]

    • Week 3: Arc length, surface area, applications to physics [2.4, 2.5]

    • Week 4: Moments, center of mass, integration and logarithms [2.6, 2.7, 2.8]

    • Week 5: Overspill, review, exam

  • Unit 2 (10/9–11/17): Advanced integration, series

    • Week 6: Integration by parts, trig integrals [3.1, 3.2]

    • Week 7: Trig substitution, partial fractions, improper integrals [3.3, 3.4, 3.7]

    • Week 8: Intro to sequences and series [5.1, 5.2, 5.3]

    • Week 9: Tests for convergence and divergence [5.4, 5.5, 5.6]

    • Week 10: Power series [6.1, 6.2, 6.3]

    • Week 11: Overspill, review, exam

  • Unit 3 (11/27–12/13): A preview of future classes

    • Week 12: Intro to ODEs, parametric equations [4.1, 4.3, 7.1]

    • Week 13: Parametric calculus, polar coordinates [7.2, 7.3, 7.4]

    • Week 14: Overspill, review

Important dates:

  • Friday, Sept 29: Midterm 1 and first diary due

  • Friday, Nov 17: Midterm 2 and second diary due

  • Oral Final Discussion: Scheduled individually with me, TBA