| Week | Date | Topics covered | Assignments | Notes and Announcements |
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| 1 | 1/16 | MLK Day - No lecture | ||
| 1/17 | Review of calculus I and II | Worksheet 1 | Buy textbook Sign up on WebAssign |
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| 1/18 | § 12.1: Introduction; 3-dimensional space | HW1 (WebAssign) due 1/20 Other HW: § 12.1 #5, 25, 31 |
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| 1/19 | Finish Worksheet 1 Discuss HW 1 |
Quiz 2: material from Worksheet 1 Solutions |
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| 1/20 | § 12.2: Vectors § 12.3: Dot product |
HW 2 (WebAssign) due 1/23 Other HW: § 12.2 #4, 5 |
Midterm dates have been posted. | |
| 2 | 1/23 | § 12.3: Dot product applications § 12.5: Equations for planes |
HW 3 (WebAssign) due 1/25 Other HW: § 12.3 #1, 11, 53 |
Tutoring starts today. |
| 1/24 | Parametric curves via vector arithmetic | Worksheet 3 | ||
| 1/25 | § 12.4: Cross product | HW 4 (WebAssign) due 1/27 Other HW: § 12.4 #43, 49 |
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| 1/26 | Projections, distances, and planes | Worksheet 4 | ||
| 1/27 | § 14.1: Functions of several variables | HW 5 (WebAssign) due 1/30 Other HW: § 14.1 #23, 25, 27, 34 |
Domain and range of a function: See definition at the beginning of § 14.1, and Example 4. | |
| 3 | 1/30 | § 14.1: Level sets in 3D § 12.6: Quadric surfaces |
HW 6 due 2/1 Other HW: § 14.1 #61, 64 |
Note the stricter rules on WebAssign. Bring your laptop to tomorrow's discussion section. If you registered late for the class (after 1/17), please email me. |
| 1/31 | Visualizing quadric surfaces | Worksheet 5: Bullet point questions in the interactive guide to quadrics | Bring your laptop to the discussion section. | |
| 2/1 | § 14.2: Limits in several variables | HW 7 due 2/3 Other HW: None |
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| 2/2 | Functions of several variables; Limits | Worksheet 6 | ||
| 2/3 | § 14.2: Continuity in several variables § 14.3: (Intro to) Partial derivatives |
HW 8 due 2/6 Other HW: None |
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| 4 | 2/6 | § 14.3: Partial derivatives § 14.4: Tangent planes and linear approximations |
HW 9 due 2/8 Other HW: § 14.3 #57, 94 and § 14.4 #13 |
Estimating partial derivatives from a table of data: See beginning of § 14.3 (averaging the "forward slope" and "backward slope"). Tangent plane to a graph: See § 14.4 Example 1 and formula 2 before it. Additional notes on § 14.4. |
| 2/7 | Partial derivatives and differentiability | Worksheet 7 | ||
| 2/8 | § 14.5: Chain rule | HW 10 due 2/10 Other HW: § 14.5 #55 |
Additional notes on § 14.5. | |
| 2/9 | Review for exam | "Worksheet 8" : Practice Exam 1 and solutions | ||
| 2/10 | § 14.6: Directional derivatives; Gradient | HW 11 due 2/13 Other HW: § 14.6 #1, 36, 38 |
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| 5 | 2/13 | § 14.6: More on the gradient § 14.7: Intro to optimization |
HW 12 due 2/17 Other HW: § 14.6 #54 |
Midterm 1 is tomorrow at 7 PM. |
| Extra review session, Monday Feb 13, 6-8 PM, room 160 English Building. | ||||
| 2/14 | Review for exam | No worksheet or quiz | ||
| Midterm 1, Tuesday Feb 14, 7:00-8:15 PM. Important information. Solutions and grading key. |
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| 2/15 | No lecture | Office hours and tutoring are canceled today. | ||
| 2/16 | Midterm returned and discussed | No worksheet or quiz | Solutions and a grading key have been posted above, under 2/14. Regrade requests: See details here. |
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| 2/17 | § 14.7: Local minima and maxima | HW 13 due 2/20 Other HW: § 14.7 #2, 3, 4 |
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| 6 | 2/20 | Taylor polynomials & second derivative test § 14.7: Global minima and maxima |
HW 14 due 2/22 Other HW: § 14.7 #20, 38, 52 |
For a note on Taylor polynomials: see "Discovery Project" at the end of § 14.7. Useful reading: Examples 5, 6, 7 in § 14.7. Additional notes on § 14.7. |
| 2/21 | Taylor series; Second derivative test; Changing coordinates | Worksheet 9 | ||
| 2/22 | § 14.8: Constrained minima and maxima Picture for Lagrange multipliers |
HW 15 due 2/24 Other HW: § 14.8 #1, 21 |
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| 2/23 | Constrained min/max via Lagrange multipliers | Worksheet 10 | The advisory curve on Midterm 1 has been posted here. | |
| 2/24 | § 13.1: Introduction to space curves § 13.2: Derivatives |
HW 16 due 2/27 Other HW: § 13.1 #14 and § 13.2 #1, 4 |
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| 7 | 2/27 | § 13.3: Arc length § 16.2: Integrating functions along curves |
HW 17 due 2/29 Other HW: None |
Caution: A problem was added to HW 17 on 2/24. There are now 5 problems. Additional notes on § 16.2. |
| 2/28 | Open discussion and review | Quiz 11: Global minima and maxima (§ 14.7 and 14.8) Solutions |
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| 2/29 | § 16.1: Vector fields § 16.2: Integrating vector fields along curves |
HW 18 due 3/2 Other HW: § 16.1 #35 and § 16.2 #17, 37, 48 |
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| 3/1 | Curves and integration | Worksheet 12 | ||
| 3/2 | § 16.2 and 16.3: More on integrating vector fields along curves | HW 19 due 3/5 Other HW: None |
Drop date is a week from now, Friday March 9. | |
| 8 | 3/5 | § 16.3: Conservative vector fields | HW 20 due 3/7 Other HW: § 16.3 #26 |
Deadline to request a conflict exam is Wednesday 3/7. Here is Practice Exam 2 and solutions. |
| 3/6 | Integrating vector fields | Worksheet 13 (old version here) | ||
| 3/7 | § 16.3: More on conservative vector fields | HW 21 due 3/9 Other HW: § 16.3 #33 |
Today is the deadline to request a conflict exam. Additional notes on § 16.3. |
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| 3/8 | Open discussion and review | Quiz 14: Line integrals (§ 16.1 - 16.3) Solutions |
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| 3/9 | § 15.1 and 15.2: Intro to double integrals | HW 22 due 3/12 Other HW: None |
Drop date is today. | |
| 9 | 3/12 | § 15.3 and 15.4: Integrating over more complicated regions | HW 23 due 3/16 Other HW: § 15.4 #1, 2, 3, 4 |
Midterm 2 is tomorrow at 7:15 PM. |
| Extra review session, Monday March 12, 6-8 PM, room 314 Altgeld (usual lecture room). | ||||
| 3/13 | Review for exam | No worksheet or quiz | ||
| Midterm 2, Tuesday March 13, 7:15-8:15 PM. Important information. Solutions and grading key to the main exam. Solutions to the conflict exam. |
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| 3/14 | No lecture | Office hours and tutoring are canceled today. | ||
| 3/15 | Midterm returned Discussion topic: Multivariable integrals |
Worksheet 15 | ||
| 3/16 | § 15.4: More on polar coordinates § 15.5: Applications of double integrals |
HW 24 due 3/26 Other HW: § 15.4 #36 (same as problem 5 on Worksheet 15) |
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| 3/19 - 3/23 | Spring break | Information about regrade requests and the curve for Midterm 2 have been posted. | ||
| 10 | 3/26 | § 15.6: Triple integrals | HW 25 due 3/28 Other HW: § 15.6 #27 |
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| 3/27 | Transformations of the plane | Worksheet 16 | ||
| 3/28 | § 15.7: Cylindrical coordinates § 15.8: Spherical coordinates |
HW 26 due 3/30 Other HW: § 15.8 #7, 11 |
The final exam will be on Wednesday May 9, 7-10 PM. The conflict final will be on Tuesday May 8, 8-11 AM. |
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| 3/29 | Open discussion and review | Quiz 17: Multiple integrals (§ 15.2 - 15.6) Solutions to Version A and Version C |
Today is the deadline to request a regrade on Midterm 2. | |
| 3/30 | § 15.9: Changing coordinates I | HW 27 due 4/2 Other HW: § 15.9 #7, 9, 10 |
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| 11 | 4/2 | § 15.9: Changing coordinates II | HW 28 due 4/4 Other HW: § 15.9 #17, 24 |
Additional notes on § 15.9. |
| 4/3 | Integrating by changing coordinates | Worksheet 18 | ||
| 4/4 | § 16.4: Green's theorem | HW 29 due 4/6 Other HW: § 16.4 #22, 27 |
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| 4/5 | Open discussion and review | Quiz 19: Change of coordinates (§ 15.7 - 15.9) Solutions |
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| 4/6 | § 16.6: Surfaces in R3 | HW 30 due 4/9 Other HW: None |
Today is the deadline to request a conflict exam. Here is Practice Exam 3 and solutions. |
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| 12 | 4/9 | § 16.6: Surface area | HW 31 due 4/11 Other HW: § 16.6 #60 |
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| 4/10 | Surface Parameterpalooza | Worksheet 20 | ||
| 4/11 | § 16.7: Integrating functions on surfaces Intro to flux integrals Visualization: Flux and flow |
HW 32 due 4/16 Other HW: None |
Midterm 3 is tomorrow at 7:15 PM. | |
| Extra review session, Wed April 11, 6-8 PM, room 23 Psychology Bldg. | ||||
| 4/12 | Review for exam | No worksheet or quiz | ||
| Midterm 3, Thursday April 12, 7:15-8:15 PM. Important information. Solutions and grading key to the main exam and the conflict exam. |
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| 4/13 | No lecture | Tutoring hours are canceled today. | ||
| 13 | 4/16 | § 16.5: Flux form of Green's theorem; divergence | No HW assigned | For the flux form of Green's theorem, see "Vector forms of Green's theorem" at the end of § 16.5, in particular the boxed equation (13). |
| 4/17 | Midterm returned and discussed | No worksheet or quiz | Information about regrade requests for Midterm 3 has been posted. | |
| 4/18 | § 16.7: Surface integrals of vector fields | HW 33 due 4/20 Other HW: None |
Additional notes on § 16.7. | |
| 4/19 | Parametrizations and integrals | Worksheet 21 | ||
| 4/20 | § 16.9: Divergence theorem | HW 34 due 4/23 Other HW: None |
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| 14 | 4/23 | § 16.8: Stokes' theorem & curl | HW 35 due 4/25 Other HW: § 16.8 #1, 13 |
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| 4/24 | Surface integrals of vector fields and related theorems | Worksheet 22 | Section ICES forms to be filled out. | |
| 4/25 | § 16.8: More on Stokes' theorem § 16.5: More on curl |
HW 36 due 4/27 Other HW: § 16.5 #22 and § 16.8 #16, 19 |
The curve for Midterm 3 has been posted. A favorable deal will be offered on the final; see details under Overall grading. Additional notes on § 16.8. |
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| 4/26 | Open discussion and review | Quiz 23: Surface integrals and related theorems (§ 16.7 - 16.9) Solutions to Version A and Version D |
The dealine to request the conflict final is Tuesday 5/1. | |
| 4/27 | § 16.5: Conservative vectors fields in R3 | HW 37 due 4/30 Other HW: § 16.8 #15 |
Lecture ICES forms to be filled out. Additional notes on § 16.5. |
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| 15 | 4/30 | Electrostatics and Gauss's law | HW 38 due 5/2 Other HW: § 16.7 #47 and § 16.9 #23, 24 |
Reference: End of § 16.7 and § 16.9. Additional notes on Gauss's law. |
| 5/1 | Review for the final | "Worksheet 24": Practice Final and solutions | Last recitation. Today is the dealine to request the conflict final. |
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| 5/2 | All Of Chapter 16 Is Really One Theorem | No HW assigned | Last lecture. The summary in § 16.10 is helpful. The "derivative" mentioned there is the "exterior derivative" d mentioned in lecture. |
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| 5/3 | Reading day | Consult the tutoring schedule for the rest of the semester. | ||
| 5/4 | Finals begin | |||
| 16 | 5/7 | Extra review session, Monday May 7, 11:15 AM - 1:15 PM, room 314 Altgeld (usual lecture room). | ||
| 5/8 | Conflict final, Tuesday May 8, 8-11 AM, room 66 Main Library. | |||
| 5/9 | Final, Wednesday May 9, 7-10 PM. Important information. Solutions and grading key to the main exam and the conflict exam. Information about regrade requests and the curve has been posted. |
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