| Week | Topics | Homework | Relevant Videos |
|---|---|---|---|
| 8/29 | Administrivia 5.1 Areas and distances 5.2 The definite integral Appendix F Sigma notation |
HW1 on WebAssign, Due Wed. 9/7 at 9am. now due on friday morning |
Lecture(Kahn) Antiderivatives and Riemann Sums Lecture(Sutherland) Definiton of the Integral |
| 9/5 | no class 9/5 and 9/6: Labor day 5.2 The definite integral (continued) |
HW2 on WebAssign, Due Wed. 9/14 at 9am. Paper homework "GA" due in recitation during the week of 9/12 |
Lecture(Kahn) Riemann Sums |
| 9/12 | 5.3 Evaluating integrals 4.8 Review of Antiderivatives 5.4 The Fundamental Theorem of Calculus |
HW3 on WebAssign, Due Wed. 9/21 at 9am. Paper homework "Civet" due in recitation during the week of 9/19 |
Lecture(Kahn) Review of Antiderivatives Lecture(Kahn) Evaluating Definite Integrals Lecture(Sutherland) The Fundamental Theorem of Calculus |
| 9/19 | 5.5 Integration via substitution 5.6 Integration by parts |
HW4 on WebAssign, Due Wed. 9/28 at 9am. Paper homework "Oil" due in recitation during the week of 10/3 (that is, after the exam) |
Lecture(Kahn) The Substitution Rule Lecture(Sutherland) Integration by Substitution Lecture(Kahn) Integration by Parts Lecture(Sutherland) Integration by Parts |
| 9/26 | 5.6 Integration by parts (continued) Some review midterm 1 Thursday, 9/29 8:30pm here is more information about the exam |
HW5 on WebAssign, Due Wed. 10/5 at 9am. Paper homework "Oil" due in recitation during the week of 10/3 this is the same one assigned last week |
Lecture(Kahn) more Substitution, midterm 1 review Lecture(Kahn) More Midterm 1 review |
| 10/3 | 5.7 Trigonometric integrals, Trig substitions Appendix G Partial Fractions 10/7 4pm: last date to move down to MAT131 or MAT125 |
HW6 on WebAssign, Due Wed. 10/12 at 9am. Paper homework "Emu" due in recitation during the week of 10/10 |
Lecture(Kahn) More integration by parts, Trigonometric integrals Lecture(Kahn) more Trig Integrals, Trig Substitutions Lecture(Sutherland) Trig. Integrals and trig substitutions Lecture(Bonifant) Trig substituitons, start partial fractions |
| 10/10 | Appendix G Partial Fractions 5.9 Numerical integration (Midpoint and Trapezoid) |
HW7 on WebAssign, Due Wed. 10/19 at 9am. No paper homework due in recitation during the week of 10/17 |
Lecture(Kahn) Partial fractions Lecture(Sutherland) Partial fractions continues Lecture(Sutherland) Numerical Integration (midpoint, trapezoid and Simpson's rules) |
| 10/17 | 5.9 Numerical integration (Simpson's rule, error bounds) 5.10 Improper integrals |
HW8 on WebAssign, Due Wed. 10/26 at 9am. Paper homework "Nab" due in recitation during the week of 10/24 |
Lecture(Sutherland) Simpson's rule and error bounds, start improper integrals Lecture(Sutherland) Improper integrals Lecture(Kahn) more partial fractions, start improper integrals Lecture(Kahn) Improper integrals |
| 10/24 | 6.1 Area between curves 6.2 Volumes 10/28, 4pm: last day to GPNC or withdraw. |
HW9 on WebAssign, Due Wed. 11/2 at 9am. Paper homework "Bldg" due in recitation during the week of 10/31 |
Lecture(Sutherland) Area Between Curves Lecture(Kahn) Areas Lecture(Sutherland) Volumes Lecture(Sutherland) Volumes of Revolution Lecture(Kahn) Volumes- disks and washers |
| 10/31 | 6.3 more Volumes Review midterm 2 Thursday, 11/3 8:30pm (more information about the exam here) |
no HW due during the week of 11/7, since we all want a break after the exam. | Lecture(Kahn) Volumes by Cylindrical Shells Lecture(Kahn) Midterm 2 Review Session Lecture(Kahn) Review for Midterm 2 Lecture(Kahn) more Review for Midterm 2 |
| 11/7 | 6.4 Arc length 6.5 Average value 6.6 Applications to Physics (Work) |
HW10 on WebAssign, Due Wed. 11/16 at 9am. Paper homework "Bowl" due in recitation during the week of 11/14 |
Lecture(Sutherland) Arc Length and Average Value Lecture(Kahn) more volumes, Arc Length Lecture(Kahn) more Arc Length, Average Value Worked example (MIT OCW) Arc Length of y=x3/2 Lecture(Sutherland) Work Lecture(Kahn) Work |
| 11/14 | 6.6 more on Physics applications Appendix H Polar coordinates |
HW11 on WebAssign, Due Wed. 11/23 at 9am. |
Lecture(Sutherland) Polar Coordinates Lecture(Sutherland) Polar Curves and area Lecture(Sutherland) more polar only first 16 minutes is for MAT126 Worked example (MIT OCW) Graph of r = 1 + cos (θ/2) Applet polar graphing Applet polar area |
| 11/21 | 6.8 Probability No classes Wed-Fri 11/23, 11/24, 11/25 : Thanksgiving |
HW12 on WebAssign, Due Wed. 11/30 at 9am. Paper homework "Wax" due in recitation during the week of 11/28 |
Lecture(MIT OCW, Jerrison) Probability Lecture(MIT OCW, Jerrison) Probability (dartboard example) |
| 11/28 | Appendix I Complex Numbers | HW13 on WebAssign, Due Wed. 12/7 at 9am. |
Lecture(Sutherland) complex numbers |
| 12/5 | Review Last day of classes: Friday, 12/9 |
Lecture(Kahn) Final Review Lecture(Kahn) Final Review part 2 |
|
| 12/12 | Final Cumulative Wednesday, Dec 14, 2:15-5:00pm more information |