| Week | Date | Topics covered | Practice problems | Assignments | Notes and announcements | Sage Cell Server | SageMath Cloud |
|---|---|---|---|---|---|---|---|
| 0 | 9/5 | Overview of the course § 12.1: Three-dimensional coordinate system |
12.1 #3, 4, 5, 6 | Buy the textbook. Log into WeBWorK and change your password. Try the practice problem sets. |
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| 1 | 9/8 | More on § 12.1: Equation of a sphere § 12.2: Vectors |
12.1 #12, 13, 15 12.2 #2, 4, 15, 19 |
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| 9/10 | More on § 12.2: Standard basis; Resultant force § 12.3: Dot product |
12.2 #21, 25, 27, 29, 32 12.3 #1, 5, 8, 17 |
The Help Center starts on Wednesday September 17. | ||||
| 9/12 | More on § 12.3: Projections; Work | 12.3 #21, 23, 29, 41, 46, 48, 49 | |||||
| 2 | 9/15 | § 12.4: Cross product | 12.4 #1, 11, 13, 15, 19, 27, 29, 35 | Please welcome our TA Baran Serajelahi. Information on the home page. | Cross product | Cross product | |
| 9/17 | More on § 12.4: Examples § 12.5: Equations of lines and planes |
12.5 #1, 3, 5, 7, 13, 17, 23, 27, 31, 35 | HW 1 on WeBWorK due 9/17 by 1:30 PM. | Equation of a line Equation of a plane |
Equation of a line Equation of a plane |
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| 9/19 | More on § 12.5: Intersections of lines and planes; Angle between planes Additional notes |
12.5 #19, 39, 41, 45, 51, 57 | Intersection of two planes | Intersection of two planes | |||
| 3 | 9/22 | § 12.6: Quadric surfaces | 12.6 #1, 3, 5, 7, 11, 13, 15, 21, 23, 25 (If needed: review § 10.5.) |
Conic sections Quadric surfaces |
Conic sections Quadric surfaces, part 1 Quadric surfaces, part 2 |
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| 9/24 | More on § 12.6: Equations in standard form Pictures! |
12.6 #29, 31, 33, 41, 45 | HW 2 due 9/24 in class (on paper). | Homework solutions are on OWL. | |||
| 9/26 | § 15.8: Cylindrical coordinates Additional notes |
15.8 #1, 3, 5, 7, 9, 11, 13 (If needed: review § 10.3.) |
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| 4 | 9/29 | § 15.9: Spherical coordinates | 15.9 #1, 3, 5, 7, 9, 11, 13 | ||||
| 10/1 | § 13.1: Vector functions and space curves | 13.1 #1, 3, 7, 9, 15 (If needed: 10.1 #33, 34) |
HW 3 on WeBWorK due 10/1 by 1:30 PM. Note: In Problem 8, the angle θ must be between 0 and 2π. |
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| 10/3 | More on § 13.1: Sketching curves; Intersection of a curve and a surface; Parametrizations | 13.1 #21-26, 27, 29, 39, 41 | Parametrized curves |
Parametrized curves, part 1 Parametrized curves, part 2 Parametrized curves, part 3 |
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| 5 | 10/6 | More on § 13.1: Piecewise parametrizations § 13.2: Derivatives and integrals of vector functions |
13.2 #1, 3, 5, 9, 15, 19, 23, 35, 41 | ||||
| 10/8 | More on § 13.2: Rules of differentiation § 13.3: Arc length; Reparametrizing with respect to arc length |
13.3 #1, 3, 7, 11, 13 | HW 4 due 10/8 in class (on paper). | ||||
| 10/10 | More on § 13.3: Curvature; Normal and binormal vectors Additional notes |
13.3 #17, 19, 21, 25, 33, 47, 49, 53 | |||||
| 6 | 10/13 | Thanksgiving - No lecture. | |||||
| 10/15 | § 13.4: Velocity and acceleration | 13.4 #5, 7, 9, 15, 17, 19, 21, 22 | HW 5 on WeBWorK due 10/15 by 1:30 PM. | Today is the deadline to request a conflict exam. | |||
| 10/17 | More on § 13.4: Tangential and normal acceleration; Examples Additional notes |
#13.4 #23, 25, 37, 39 | Practice exam. Solutions are posted on OWL, under "Exam solutions". |
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| 7 | 10/20 | § 14.1: Functions of several variables; Graphs; Contour plots | 14.1 #2, 7, 8, 9, 11, 13, 15, 25, 29, 32, 33 | Graphs of functions |
Graphs of functions, part 1 Graphs of functions, part 2 Graphs of functions, part 2 |
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| Mon 10/20: Additional review session, 5:30 - 7:30 PM, room MC 108. | |||||||
| 10/22 | Review session in class | HW 6 due 10/22 in class (on paper). | |||||
| Wed 10/22: Midterm, 6:30 - 8:30 PM, room 3M 3250. | |||||||
| 10/24 | Lecture canceled. | Midterm grades and solutions have been posted on OWL. | |||||
| 8 | 10/27 | More on § 14.1: Level sets § 14.2: Limits and continuity Additional notes |
14.1 #35, 36, 39, 43 14.2 #1, 5, 7, 9, 29, 31 |
Update in the course grade policy: see the home page. | |||
| 10/29 | More on § 14.2: Approaching along different paths Additional notes |
14.2 #9, 11, 13, 15, 17 | No homework due today. | Visualizing limits | |||
| 10/31 | Fall study break - No lecture. | ||||||
| 9 | 11/3 | § 14.3: Partial derivatives | 14.3 #1, 3, 5, 6, 10, 11, 15, 29, 53, 55 | ||||
| 11/5 | More on § 14.3: Clairaut's Theorem Additional notes § 14.4: Tangent planes and linear approximations |
14.3 #59, 61, 67, 71, 75 14.4 #1, 5, 21 |
HW 7 on WeBWorK due 11/5 by 1:30 PM. (Ignore parts that ask you to write an answer on paper.) | Today is Drop Date. | Tangent planes | ||
| 11/7 | More on § 14.4: Differentiability Additional notes |
14.4 #11, 13, 15, 19, 23, 45, 46 | Differentiability | ||||
| 10 | 11/10 | § 14.5: The chain rule | 14.5 #1, 3, 7, 9, 13, 15, 21 | ||||
| 11/12 | More on § 14.5: Implicit differentiation § 14.6: Directional derivatives and gradient vector |
14.5 #27, 31 14.6 #5, 7, 9, 11, 17 |
HW 8 due 11/12 in class (on paper). | ||||
| 11/14 | More on § 14.6: Maximal rate of change; normal vector to level sets | 14.6 #19, 21, 31, 41, 49, 55 | Sage applets have been posted on the Lecture Log, in the two columns to the right. | Gradient vector field | |||
| 11 | 11/17 | § 14.7: Maximum and minimum values; critical points; second derivatives test Additional notes |
14.7 #1, 3, 5, 9, 13, 19 | ||||
| 11/19 | More on § 14.7: Extreme value theorem Additional notes |
Exercise 2.2 in the additional notes. | HW 9 on WeBWorK due 11/19 by 1:30 PM. | ||||
| 11/21 | More on § 14.7: Global maxima and minima | 14.7 #29, 31, 35, 39, 41 | |||||
| 12 | 11/24 | § 14.8: Lagrange multipliers Picture Additional notes |
14.8 #1, 3, 5, 7 | ||||
| 11/26 | More on § 14.8: Examples and applications | 14.8 #19, 25, 29, 31 | HW 10 due 11/26 in class (on paper). | ||||
| 11/28 | § 16.1: Vector fields | 16.1 #3, 5, 11-14, 15-18, 23, 29-32 | Practice exam. Solutions are on OWL. | Vector fields | |||
| 13 | 12/1 | Adams § 12.6: Jacobian matrix; linear approximation | Adams 12.6 #13, 15, 16 | The section from Adams' textbook has been posted to OWL. | |||
| 12/3 | Adams § 12.6: The chain rule (general case) | Additional exercises. Solutions are on OWL. |
HW 11 on WeBWorK due 12/3 by 1:30 PM. | ||||
| Thu 12/4: Additional review session, 3:30 - 5:30 PM, room MC 108. | |||||||
| 12/5 | No lecture. | ||||||
| Sun 12/7: Final Exam, 7:00 - 10:00 PM, room NSC 7. | |||||||