This course is a sequel to Math 8 and provides an introduction to calculus of vector-valued functions. Topics include differentiation and integration of parametrically defined functions with interpretations of velocity, acceleration, arc length and curvature. Other topics include iterated, double, triple and surface integrals including change of coordinates. The remainder of the course is devoted to vector fields, line integrals, Green's theorem, curl and divergence, and Stokes' theorem.
Lectures: |
M, W, F, | 11:30am - 12:35pm |
| Kemeny 105 | Tu, | 12:15pm - 1:05pm (X-hour) |
Tutorial: |
Su, Tu, Th, | 7:00pm - 9:00pm |
| Haldeman 028 |
Office Hours: |
Monday, | 2:00pm - 3:00pm |
| Kemeny 320 | Wednesday, | 10:00am - 11:00am |
| Thursday, | 10:00am - 11:00am | |
| 3:00pm - 4:00pm |
TA: |
Xingru Chen |
| # | Date | Topics | Suggested HW | |
|---|---|---|---|---|
| 1 | Sept. 12 | Class Information 14.1: Functions of two or more variables 14.2: Limits and continuity in several variables (no limit computations, just broad ideas) |
14.1: # 1, 5, 7, 13, 19, 25 14.2: # 9, 19, 21 (for 19, 21 get your answer by using a computer to graph it) |
|
| 2 | Sept. 14 | 15.1: Integration in two variables (start) | 15.1: # 3, 9, 15, 18, 19, 23, 27, 31, 35, 41, 45, 47 | |
| 3 | Sept. 16 | 15.1: Integration in two variables (finish) 15.2: Double integration over general regions (start) |
15.2: # 5-7, 9, 11, 13, 17, 19, 23, 25-28, 33, 41, 44, 45, 47, 49, 53 | |
| 4 | Sept. 19 | 15.2: Double integration over general regions (finish) | 15.2: (see above) | |
| 5 | Sept. 20 (X-hour) |
Coordinate systems (chapter 11 review) | 11.3: # 3, 7, 11, 13, 15, 19 | |
| 6 | Sept. 21 | 15.4: Integration with polar coordinates | 15.4 (polar): # 1, 3, 7, 9, 11, 13, 17, 19 | |
| 7 | Sept. 23 | 15.3: Triple integrals | 15.3: # 1, 3, 9, 11, 13, 17, 19, 21, 25, 28, 29, 31, 39 | |
| 8 | Sept. 26 | 15.4: Integration with cylindrical coordinates | 15.4 (cylindrical): # 27, 31, 33, 35, 37, 39 | |
| 9 | Sept. 28 | 15.4: Integration with spherical coordinates | 15.4: (spherical): # 43, 45, 47, 49, 53, 55 | |
| 10 | Sept. 30 | 15.4: Review | ||
| 11 | Oct. 3 | 15.5: Applications of triple integrals (total mass and center of mass only) |
15.5: # 3, 7, 11, 13, 19, 23, 25 | |
| 12 | Oct. 4 (X-hour) |
Review for Exam 1 Exam 1, 4:00pm - 6:00pm |
||
| 13 | Oct. 5 | 15.6: Change of Coordinates | 15.6: # 1, 5, 7, 13, 15, 29, 31, 33 | |
| Oct. 7 | Class canceled | |||
| 14 | Oct. 10 | Chapter 12/13: Vector Concepts | 12.3: # 5, 15, 27 12.4: # 5, 7, 9, 11, 25 13.1: # 5, 7, 12, 13, 15 13.2: # 9, 17, 19, 23, 25 |
|
| 15 | Oct. 11 (X-hour) |
Chapter 13: Curve Parametrization | Worksheet (passed out in class) | |
| 16 | Oct. 12 | 16.2: Scalar Line Integrals | 16.2: # 1, 3, 5, 11, 13, 15, 17 | |
| 17 | Oct. 14 | 16.1: Vector Fields 16.3: Conservative Vector Fields |
16.1: # 1, 3, 9, 11, 13-16, 17-19, 23, 27 16.3: # 7, 9, 11, 15 |
|
| 18 | Oct. 17 | 16.2: Vector Line Integrals | 16.2: # 19, 21, 25, 29, 35, 37, 38 | |
| 19 | Oct. 18 (X-hour) |
16.3: Conservative Vector Fields | 16.3: # 1, 5, 7, 9, 11, 15, 17, 19 | |
| 20 | Oct. 19 | 17.1: Green's Theorem | ||
| 21 | Oct. 21 | 17.1: Green's Theorem | 17.1: # 3, 5, 7, 9, 13, 15, 17, 24, 25 | |
| Oct. 24 | Class Canceled | |||
| Oct. 26 | Class Canceled | |||
| Oct. 28 | Class Canceled | |||
| 22 | Oct. 31 | 16.4: Surface Integrals of Scalar Functions (start) | ||
| 23 | Nov. 1 (X-hour) |
Review for Exam 2 Exam 2, 5:00pm - 7:00pm |
||
| 24 | Nov. 2 | 16.4: Surface Integrals of Scalar Functions (finish) | 16.4: # 1, 3, 7, 13, 15, 19, 23, 27, 29, 35 | |
| 25 | Nov. 4 | 16.5: Surface Integrals of Vector Fields | 16.5: # 1, 5, 7, 9, 15, 17, 23, 25, 27 | |
| 26 | Nov. 7 | 17.2: Stoke's Theorem | ||
| 27 | Nov. 9 | 17.2: Stoke's Theorem | 17.2: # 1, 5, 7, 9, 11, 13, 25, 27 | |
| 28 | Nov. 11 | 17.3: Divergence Theorem | 17.3: # 5, 7, 9, 11, 19 | |
| 29 | Nov. 14 | Calculating the Area of Polygons using Green's Theorem | ||
| 30 | Nov. 15 (X-hour) |
Review for Final Exam | ||
| Nov. 20 | Final Exam, 3:00pm - 6:00pm |
Weekly graded homework assignments, posted above. Daily suggested homework from the textbook, not graded.
| Exam 1: | Tuesday, October 4, 4:00pm - 6:00pm |
| Exam 2: | Tuesday, November 1, 5:00pm - 7:00pm |
| Final Exam: | Sunday, November 20, 3:00pm - 6:00pm |
Calculus Early Transcendentals, Multivariable, 3rd edition
(note: the multivariable version is cheaper!)
J. Rogawski & C. Adams
ISBN: 978-1464171758
No online code needed.
| Homework: | 15% |
| Exam 1: | 25% |
| Exam 2: | 25% |
| Final Exam: | 35% |
| September 12: | Classes begin |
| September 26: | Final day for electing use of the Non-Recording Option (NRO) |
| October 24: | Final day for dropping a fourth course without a grade notation of "W" |
| October 31: | Final day to withdraw from a course |
| November 15: | Last day of classes |
| TBD: | Math 13 final exam |