| Week | Topics | Homework | Relevant Videos |
|---|---|---|---|
| 8/22 | Administrivia 5.1 Areas and distances 5.2 The definite integral Appendix F Sigma notation |
WebAssign HW1 (due morning of Wednesday 8/31). | 8/24 class Areas and Riemann Sums 3Blue1Brown Integration and the Fundamental Theorem of Calculus |
| 8/29 | 5.2 The definite integral (continued) 5.3 Evaluating integrals |
WebAssign HW2 (due morning of Wednesday 9/7). | 8/29 class The definite integral 8/31 class Definite integrals and the Evaluation Theorem |
| 9/5 | no class 9/5: Labor day 4.8 Review of Antiderivatives 5.4 The Fundamental Theorem of Calculus |
WebAssign HW3 (due morning of Wednesday 9/14). Paper homework "Civet" (due in recitation during the week of 9/12) |
9/7 class The Fundamental Theorem and Antiderivatives. 3Blue1Brown Area and Slope Explore It Fundamental Theorem of Calculus, part 1 and FTC Part 2. Lisa The Fundamental Theorem (notes) |
| 9/12 | 5.5 Integration via substitution 5.6 Integration by parts |
WebAssign HW4 (due morning of Wednesday 9/21). Paper homework "Oil" (due in recitation during the week of 9/19) |
9/12 class Integration by substitution 9/14 class more substitution, integration by parts. Lisa Integration by Substitution (notes) Lisa Integration by parts (notes) |
| 9/19 | 5.6 more integration by parts 5.7 Integrating powers of trig functions Appendix G Partial Fractions |
WebAssign HW5 (due morning of Wednesday 9/28). no paper homework due the week of 9/19 |
9/19 class more integration by parts 9/21 class integrating trig powers, long division, start partial fractions |
| 9/26 | 5.7 more partial fractions review for midterm Midterm 1 Thursday, 9/29 at 8:15pm here is more information about the exam |
Exams are annoying. Let's take a break from homework, so nothing due next week. | 9/26 class partial fractions, some review 9/28 class review for midterm |
| 10/3 | 5.7 Trigonometric substitutions 5.8 Computer integration 5.9 Numerical integration Friday, 10/7 4pm: last date to move down to MAT131 or MAT125 |
I messed up and there was no homework this week either. We'll get back on track soon. | 10/3 class Inverse trig substitutions, integrating with computers 10/5 class numerical integration Integral calculators integral-calculator.com and Wolfram Alpha, among others. |
| 10/10 | no class 10/10 and 10/11: Fall Break 5.10 Improper integrals |
WebAssign HW6 (due morning of Friday 10/21). Paper homework "Emu" (due in recitation during the week of 10/17) |
10/12 class improper integrals |
| 10/17 | 6.1 Area between curves 6.2 Volumes 10/21, 4pm: last day to GPNC or withdraw. |
WebAssign HW7 (due morning of Wednesday 10/26). Paper homework "Bldg" (due in recitation during the week of 10/24) |
10/17 class more improper integrals, area between curves 10/19 class Volumes Lisa Area between curves (notes) |
| 10/24 | 6.3 more volume 6.5 Average value |
WebAssign HW8 (due morning of Wednesday 11/2). |
10/24 class More Volumes 10/26 class more volume, average value. Lisa Volumes (part 1), (part 2) (notes) Lisa Volumes (part 3) (notes) |
| 10/31 | 6.4 Arc length, Review midterm 2 Wednesday, 11/2 at 7:50pm (more information about the exam here) |
10/31 class Arc length and review 11/2 class More review Lisa Arc Length(part1), (part2) (notes) |
|
| 11/7 | * Surface area 1.6 Parametric curves Appendix H.1 Polar coordinates |
WebAssign HW9 (due morning of Wednesday 11/16). |
11/7 class Arc length, surface area 11/9 class parametric equations, polar coordinates BlackPenRedPen Surface Area example (MIT OCW) Graph of r = 1 + cos (θ/2) Applet polar graphing |
| 11/14 | Appendix H.2 area in polar coordinates | WebAssign HW10 (due morning of Wednesday 11/23). |
11/14 class more on parametric equations and polar graphs. 11/16 class area in polar coordinates Applet polar area |
| 11/21 | 6.6 Work Thanksgiving Break: Wed-Fri, 11/23, 11/24, and 11/25 |
WebAssignHW11 (due morning of Wednesday 12/7). |
11/21 class Calculating work Lisa Calculating Work (notes) |
| 11/28 | 6.8 Probability |
WebAssign Extra Credit (due morning of final: Thursday 12/8). |
11/28 class Probability 11/30 class Probability. Brief summary of everything we've done. 3Blue1Brown Probability: binomial distribution 3Blue1Brown Probability: probability density functions |
| 12/5 | Last day of classes: Monday, 12/5 Final Cumulative Thursday, Dec 8, 2:15-5:00pm more information |
12/5 class Review. Georgina Zoom review session for final, password= +9zA.Lq% (notes). |