Math 241 - Calculus III
Spring 2012, Section CL1

Lecture log and homework assignments

WeekDateTopics coveredAssignmentsNotes 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; 3-dimensional 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, 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.
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, 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.
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, 7-10 PM.
The conflict final will be on Tuesday May 8, 8-11 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 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.
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, 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.
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 R3 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, 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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