| Week | Date | Topics covered | Practice problems | Assignments | Notes and announcements |
|---|---|---|---|---|---|
| 1 | 9/9 | Overview of the course § 12.1: Three-dimensional coordinate system |
12.1 #3, 4, 5, 6 | Buy the textbook. | |
| 9/11 | More on § 12.1: Equation of a sphere § 12.2: Vectors |
12.1 #12, 13, 15 12.2 #2, 4, 15 |
Log into WeBWorK. Change your password. Try the practice problem sets. |
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| 9/13 | More on § 12.2: Magnitude; Standard basis; Resultant force | 12.2 #19, 21, 25, 27, 29, 32 | |||
| 2 | 9/16 | § 12.3: Dot product | 12.3 #1, 5, 8, 17, 21, 23, 29 | TA office hours start today. | |
| 9/18 | More on § 12.3: Projections; Work | 12.3 #41, 46, 48, 49 | HW 1 on WeBWorK due 9/18 by 1:30 PM. | The Help Center starts running tomorrow (Thursday 9/19). | |
| 9/20 | § 12.4: Cross product | 12.4 #1, 13, 15, 19, 27, 29 | Sage applet: Cross product. | ||
| 3 | 9/23 | More on § 12.4: Properties of the cross product; Triple product | 12.4 #11, 35 | Office hour tomorrow (Tuesday 9/24) moved to 1:30-2:20. | |
| 9/25 | § 12.5: Equations of lines and planes | 12.5 #3, 5, 13, 17, 23, 27, 31 | HW 2 on WeBWorK due 9/25 by 1:30 PM. | Sage applet: Equation of a line. Sage applet: Equation of a plane. |
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| 9/27 | More on § 12.5: Line segments; Intersection of a line and a plane; Angle between planes | 12.5 #1, 35, 39, 41, 45, 51 | |||
| 4 | 9/30 | More on § 12.5: Intersection of two planes § 12.6: Cylinders |
12.5 #57 12.6 #1, 3, 5, 7 |
Sage applet: Intersection of two planes. | |
| 10/2 | More on § 12.6: Quadric surfaces | 12.6 #11, 13, 15, 21, 23, 25 | HW 3 due 10/2 in class (on paper). Solutions. |
Sage applet: Conic sections. | |
| 10/4 | More on § 12.6: Quadric surfaces | 12.6 #29, 31, 33, 41, 45 | Sage applet: Quadric surfaces. | ||
| 5 | 10/7 | § 13.1: Vector functions and space curves | 13.1 #1, 3, 7, 9 | ||
| 10/9 | More on § 13.1: Sketching curves; parametrizations | 13.1 #15, 21-26, 27 (If needed: 10.1 #33, 34) |
HW 4 on WeBWorK due 10/9 by 1:30 PM. | Sage applet: Parametrized curves. | |
| 10/11 | More on § 13.1: Intersection of a curve and a surface § 13.2: Derivatives of vector functions |
13.1 #29 13.2 #1, 3, 5, 9, 15, 19 |
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| 6 | 10/14 | Thanksgiving - No lecture. | |||
| 10/16 | More on § 13.2: Tangent line to a curve § 13.3: Arc length |
13.2 #23 13.3 #1, 3, 7, 11 |
HW 5 on WeBWorK due 10/16 by 1:30 PM. | Deadline to request a conflict midterm (but sooner is better). | |
| 10/18 | More on § 13.3: Arc length function; Curvature | 13.3 #13, 17, 19 | Practice midterm. Solutions. |
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| 7 | 10/21 | More on § 13.3: Curvature | 13.3 #21, 25 | ||
| Tue 10/22: Additional review session, 4:30 - 6:30 PM, room MC 107. | |||||
| 10/23 | Review session in class. | HW 6 on WeBWorK due 10/23 by 1:30 PM. | |||
| Wed 10/23: Midterm, 6:30 - 8:30 PM, in room SSC 2036. | |||||
| 10/25 | § 13.4: Motion in space: velocity and acceleration | 13.4 #5, 7, 9, 15, 17, 19, 21 | |||
| 8 | 10/28 | More on § 13.4: Tangential and normal acceleration Additional notes |
13.4 #22, 23, 37, 39 | ||
| 10/30 | § 14.1: Functions of several variables | 14.1 #2, 7, 8, 9, 11, 13, 15 | No homework due today. | See grading policy update on the home page. | |
| 11/1 | Fall study break - No lecture. | ||||
| 9 | 11/4 | More on § 14.1: Graphs; level sets; contour maps | 14.1 #25, 29, 32, 33, 35, 36, 39, 43 | Tomorrow (Tuesday November 5) is Drop date. Sage applet: Graphs of functions. |
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| 11/6 | § 14.2: Limits and continuity Additional notes |
14.2 #1, 5, 7, 29, 31 | HW 7 on WeBWorK due 11/6 by 1:30 PM. | ||
| 11/8 | More on § 14.2: Approaching along different paths | 14.2 #9, 11, 13, 15, 17 | Sage applet: Visualizing limits. | ||
| 10 | 11/11 | § 14.3: Partial derivatives | 14.3 #1, 3, 5, 6, 10, 11, 15, 29 | ||
| 11/13 | More on § 14.3: Higher derivatives; Clairaut's Theorem | 14.3 #55, 59, 61, 67, 71, 75 | HW 8 due 11/13 in class (on paper). Solutions. |
The Final Exam date has been announced. | |
| 11/15 | § 14.4: Tangent planes and linear approximations | 14.4 #1, 5, 11, 13, 19, 21, 23 | Sage applet: Tangent planes. | ||
| 11 | 11/18 | More on § 14.4: Differentiability Additional notes |
14.4 #11-16 (showing differentiability at the point), 45, 46 | Sage applet: Differentiability. | |
| 11/20 | § 14.5: The chain rule | 14.5 #1, 3, 13 | HW 9 on WeBWorK due 11/20 by 1:30 PM. | Our TA Josue has moved offices to room NS 2. | |
| 11/22 | More on § 14.5: Several independent variables; implicit differentiation | 14.5 #7, 9, 15, 21, 31 | |||
| 12 | 11/25 | § 14.6: Directional derivatives and gradient vector | 14.6 #5, 7, 9, 11, 17 | ||
| 11/27 | More on § 14.6: Maximal rate of change; normal vector to level sets | 14.6 #19, 21, 31, 41, 49, 55 | HW 10 due 11/27 in class (on paper). Solutions. |
Sage applet: Gradient vector field. | |
| 11/29 | § 14.7: Maximum and minimum values; critical points; second derivatives test | 14.7 #1, 3, 5, 9, 13, 19 | Sunday 12/1 is the deadline to request a conflict exam (but sooner is better). | ||
| 13 | 12/2 | More on § 14.7: Global maxima and minima; extreme value theorem Additional notes |
14.7 #29, 31, 35, 39 On WeBWorK: Chap14_7_GlobalMax |
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| 12/4 | More on § 14.7: Domain with boundary § 14.8: Lagrange multipliers Picture Example |
14.8 #1, 3 On WeBWorK: Chap14_8_Lagrange |
HW 11 on WeBWorK due 12/4 by 1:30 PM. | Practice Final. Solutions. |
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| Thu 12/5: Additional office hours, 2:30 - 4:30 PM (in MC 129). | |||||
| 12/6 | More on § 14.8: Examples and applications | 14.8 #5, 7, 19, 29 | |||
| Fri 12/6: Additional review session, 4:30 - 6:30 PM, room MC 108. | |||||
| 14 | Sun 12/8: Final Exam, 7:00 - 10:00 PM, in room EC 2155. | ||||