| Week | Start Date | Topics | Homework | Relevant Videos |
|---|---|---|---|---|
| 1 | 8/26 |
5.1 Areas and distances 5.2 The definite integral Appendix F Sigma notation |
WebAssign#1 (due Friday) | Lecture(Kahn) Antiderivatives and Riemann Sums Lecture(Sutherland) Definiton of the Integral |
| 2 | 9/2 | no class 9/2: Labor day 5.2 The definite integral (continued) 5.3 Evaluating integrals |
WebAssign#2 (due Friday) and Paper HW(due during week #3 recitaton) |
Lecture(Kahn) Riemann Sums Lecture(Kahn) Evaluating Definite Integrals |
| 3 | 9/9 |
WebAssign free access ends 9/9/19 4.8 Review of Antiderivatives 5.4 The Fundamental Theorem of Calculus 5.5 Integration via substitution |
WebAssign#2a(Due Tuesday) and #3a(Due Friday) Paper HW(due during week #4 recitaton) |
Lecture(Kahn) Review of Antiderivatives Lecture(Sutherland) The Fundamental Theorem of Calculus Lecture(Kahn) The Substitution Rule Lecture(Sutherland) Integration by Substitution |
| 4 | 9/16 | 5.6 Integration by parts Appendix G Partial Fractions |
WebAssign#3b (due Friday the 20th) WebAssign#4a (due Tuesday the 24th) Paper HW(due during week #5 recitaton) |
Lecture(Kahn) Integration by Parts Lecture(Sutherland) Integration by Parts Lecture(Kahn) Partial fractions Lecture(Sutherland) Partial fractions continues |
| 5 | 9/23 | Appendix G Partial Fractions (continues) 5.7 Partial Fractions 5.7 Integrating powers of trig functions |
WebAssign#4b (due Friday the 27th) WebAssign#5a (due Tues. Oct. 1) Paper HW Question #1 only(due during week #6 recitaton) |
Lecture(Kahn) More integration by parts, Trigonometric integrals Lecture(Kahn) more Trig Integrals, Trig Substitutions |
| 6 | 9/30 |
Review for midterm (midterm this week) 5.7 Integrating powers of trig functions (continued) 5.7 Trig substitions |
Study for midterm | Lecture(Sutherland) Trig. Integrals and trig substitutions Lecture(Bonifant) Trig substituitons, start partial fractions Lecture(Kahn) more Substitution, midterm 1 review Lecture(Kahn) More Midterm 1 review Review Session(Kahn) Review session for Midterm 1, held 9/30/18 |
| 7 | 10/7 |
5.10 Improper integrals Last day to Move Up/Drop Down is Oct 11 at 4pm |
WebAssign#5b (due Tue, Oct 8) WebAssign#6a (due Fri, Oct 11) Paper HW Question #2 only(due during this week's) |
Lecture(Sutherland) Improper integrals Lecture(Kahn) more partial fractions, start improper integrals |
| 8 | 10/14 | No class 10/14-15: Fall Break 5.10 Improper integrals (continued) 6.1 Area between curves |
WebAssign#7a (due Fri, Oct 18) |
Lecture(Kahn) Improper integrals, start areas Lecture(Kahn) Areas Lecture(Sutherland) Area Between Curves |
| 9 | 10/21 | 6.1 More Area (continued) 5.9 Numerical integration Last day to GPNC or withdraw is Oct. 25, 4pm . |
WebAssign#7b (due Fri, Oct 25) WebAssign#8a (due Fri, Nov. 8) |
Lecture(Sutherland) Numerical Integration (midpoint, trapezoid and Simpson's rules) Lecture(Sutherland) Simpson's rule and error bounds, start improper integrals |
| 10 | 10/28 |
Catch-up and Review for midterm (midterm this week) |
Study for midterm |
Lecture(Kahn) 2018 midterm 2 review Lecture(Kahn) Midterm 2 Review Session Lecture(Kahn) Review for Midterm 2 Lecture(Kahn) more Review for Midterm 2 |
| 11 | 11/4 | 6.2 Volumes 6.3 more volumes |
WebAssign#8a (due Fri, Nov. 8) WebAssign#8b (due Fri, Paper HW Question #2 only(due in recitation during week 12). And more Paper HW (due in recitation during |
Lecture(Sutherland) Volumes Lecture(Sutherland) Volumes of Revolution Lecture(Kahn) Volumes- disks and washers |
| 12 | 11/11 | 6.5 Average value 6.4 Arc length 6.8 Probability |
WebAssign#9a (due Fri, Nov. 15) WebAssign#10a (due Fri, Paper HW (due week 13) |
Lecture(Kahn) more volumes, Arc Length Lecture(Kahn) more Arc Length, Average Value Lecture(Sutherland) Arc Length and Average Value |
| 13 | 11/18 | 6.8 Probability |
WebAssign#10a (due Fri, Nov 22) WebAssign#10b (due Fri, Nov 22) |
Lecture(MIT OCW, Jerrison) Probability Lecture(MIT OCW, Jerrison) Probability (dartboard example) |
| 14 | 11/25 | No class 11/27-29: Thanksgiving Appendix H.1 Polar coordinates |
WebAssign#11b (due Fri, Dec. 3) WebAssign#12a (due Fri, Dec. 6) |
Lecture(Sutherland) Polar Coordinates Lecture(Sutherland) Polar Curves and area Lecture(Sutherland) more polar (only first 16 minutes is for MAT126) Lecture(Sutherland) complex numbers Worked example (MIT OCW) Graph of r = 1 + cos (θ/2) Applet polar graphing Applet polar area |
| 15 | 12/2 | Catch-up and Review | WebAssign extra credit (due Dec 12) | Lecture(Kahn) Final Review Lecture(Kahn) Final Review part 2 |
| 16 (Mon. only) |
12/9 | Last day of classes: Monday, 12/9 Review |
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Final Cumulative Thurs. December 12 at 2:15pm-5:00pm |