Week  Date  Topics covered  Assignments  Notes and Announcements 

1  1/16  MLK Day  No lecture  
1/17  Review of calculus I and II  Worksheet 1 and solutions  Buy textbook Sign up on WebAssign 

1/18  § 12.1: Introduction; 3dimensional space  HW1 (WebAssign) due 1/20 Other HW: § 12.1 #5, 25, 31 

1/19  Finish Worksheet 1 Discuss HW 1 
Quiz 2: material from Worksheet 1 Solutions 

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 and solutions  
1/25  § 12.4: Cross product  HW 4 (WebAssign) due 1/27 Other HW: § 12.4 #43, 49 

1/26  Projections, distances, and planes  Worksheet 4 and solutions  
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 Solutions 
Bring your laptop to the discussion section.  
2/1  § 14.2: Limits in several variables  HW 7 due 2/3 Other HW: None 

2/2  Functions of several variables; Limits  Worksheet 6 and solutions  
2/3  § 14.2: Continuity in several variables § 14.3: (Intro to) Partial derivatives 
HW 8 due 2/6 Other HW: None 

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 and solutions  
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 

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, 68 PM, room 160 English Building.  
2/14  Review for exam  No worksheet or quiz  
Midterm 1, Tuesday Feb 14, 7:008:15 PM. Important information. Solutions and grading key. 

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. 

2/17  § 14.7: Local minima and maxima  HW 13 due 2/20 Other HW: § 14.7 #2, 3, 4 

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 and solutions  
2/22  § 14.8: Constrained minima and maxima Picture for Lagrange multipliers 
HW 15 due 2/24 Other HW: § 14.8 #1, 21 

2/23  Constrained min/max via Lagrange multipliers  Worksheet 10 and solutions  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 

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 

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 

3/1  Curves and integration  Worksheet 12 and solutions  
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) and solutions  
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. 

3/8  Open discussion and review  Quiz 14: Line integrals (§ 16.1  16.3) Solutions 

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, 68 PM, room 314 Altgeld (usual lecture room).  
3/13  Review for exam  No worksheet or quiz  
Midterm 2, Tuesday March 13, 7:158:15 PM. Important information. Solutions and grading key to the main exam. Solutions to the conflict exam. 

3/14  No lecture  Office hours and tutoring are canceled today.  
3/15  Midterm returned Discussion topic: Multivariable integrals 
Worksheet 15 and solutions  
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) 

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 

3/27  Transformations of the plane  Worksheet 16 and solutions  
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, 710 PM. The conflict final will be on Tuesday May 8, 811 AM. 

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 

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 and solutions  
4/4  § 16.4: Green's theorem  HW 29 due 4/6 Other HW: § 16.4 #22, 27 

4/5  Open discussion and review  Quiz 19: Change of coordinates (§ 15.7  15.9) Solutions 

4/6  § 16.6: Surfaces in R^{3}  HW 30 due 4/9 Other HW: None 
Today is the deadline to request a conflict exam. Here is Practice Exam 3 and solutions. 

12  4/9  § 16.6: Surface area  HW 31 due 4/11 Other HW: § 16.6 #60 

4/10  Surface Parameterpalooza  Worksheet 20 and solutions  
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, 68 PM, room 23 Psychology Bldg.  
4/12  Review for exam  No worksheet or quiz  
Midterm 3, Thursday April 12, 7:158:15 PM. Important information. Solutions and grading key to the main exam and the conflict exam. 

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 and solutions  
4/20  § 16.9: Divergence theorem  HW 34 due 4/23 Other HW: None 

14  4/23  § 16.8: Stokes' theorem & curl  HW 35 due 4/25 Other HW: § 16.8 #1, 13 

4/24  Surface integrals of vector fields and related theorems  Worksheet 22 and solutions  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. 

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 R^{3}  HW 37 due 4/30 Other HW: § 16.8 #15 
Lecture ICES forms to be filled out. Additional notes on § 16.5. 

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. 

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. 

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, 811 AM, room 66 Main Library.  
5/9  Final, Wednesday May 9, 710 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. 