## Class Summaries and Homework Assignments

Note: Lecture notes will generally be available before class. The [draft notes] are notes from a previous semester and may differ slightly from the actual [notes].

### WEEK 1

Lecture M 8/26: Reading: 12.1, 12.2 for W 8/28.   Homework: due F 8/30, 8 a.m.
[notes]
Section Tu 8/27:   Worksheet (solutions) REMARK: for today, and always, please print the worksheet in advance and bring it to section with you. You will work on it in your section meeting!
Lecture W 8/28: Reading: 12.3, 12.5 for F 8/30.   Homework: due Tu 9/3, 8 a.m.
Vectors and their geometry (12.2).   [notes]

Section Th 8/29:  Worksheet (solutions)
Lecture Fr 8/30: Reading: 12.4 for W 9/4.   Homework: due W 9/4, 8 a.m.
Dot product of vectors; lines and planes (12.3, 12.5).   [notes].

### WEEK 2

Lecture M 9/2:
LABOR DAY. No class.
Section Tu 9/3:   Worksheet (solutions)
Lecture W 9/4: Reading: 14.1 for F 9/6.   Homework: due M 9/9, 8 a.m.
Cross product (12.4).   [notes]
Section Th 9/5:  QUIZ and discuss homework problems.
Lecture Fr 9/6: Reading: 12.6, 14.2 for M 9/9.   Homework: due W 9/11, 8 a.m.
Functions of several variables (14.1).   [notes]

### WEEK 3

Lecture M 9/9: Reading: none for W 9/11.   Homework: due F 9/13, 8 a.m.
Level sets (14.1), quadric surfaces (12.6).   [notes]

FOR TUESDAY: if you own a laptop, please bring it to section with you.
Section Tu 9/10:   QUIZ and visualizing quadric surfaces. (solutions) If you own a laptop, please bring it with you today.
Lecture W 9/11: Reading: 14.3 for F 9/13.   Homework: due M 9/16, 8 a.m.
Limits in several variables (14.2).   [notes]   [eMC]   [3FG]
REMINDER: The first midterm is Tuesday, September 24, 6:45 - 8 p.m. If you have a conflict, and have not yet contacted Professor Lakeland to obtain permission to take the conflict exam, please do so immediately!
Section Th 9/12:  Worksheet (solutions)
Lecture Fr 9/13: Reading: 14.3, 14.4 for M 9/16.   Homework: due W 9/18, 8 a.m.
Continuity (14.2), partial derivatives (14.3).   [notes]

### WEEK 4

Lecture M 9/16: Reading: 14.5 for W 9/18.   Homework: due F 9/20, 8 a.m.
Applications of partial derivatives (14.3, 14.4).   [notes]
Section Tu 9/17:   Worksheet (solutions)
Lecture W 9/18: Reading: 14.6 for F 9/20.   Homework: due M 9/23, 8 a.m.
Chain rule (14.5).   [notes]
Section Th 9/19:  Practice midterm. [practice midterm|solutions]
Last fall's [midterm] and [solutions] for you to practice on your own.
Lecture Fr 9/20: Reading: 14.7-14.8 for M 9/23.   Homework: included in previous assignment.
Chain rule (14.5) and directional derivatives (14.6).   [notes]   [Mathematica notebook]
IMPORTANT: Find your assigned room for Tuesday's midterm here.

### WEEK 5

Lecture M 9/23: Reading: none for W 9/25.   Homework: none
Gradient (14.6), overview of optimization (14.7, 14.8).   [notes]

EXAM TUESDAY EVENING, 6:45-8 p.m.
Section Tu 9/24:   Midterm review.
TUESDAY 9/24, 6:45-8 p.m. MIDTERM 1. Information here.
Lecture W 9/25
NO CLASS.
Section Th 9/26:  Midterm returned and discussed.
Lecture Fr 9/27: Reading: 14.7-14.8 for M 9/30.   Homework: due W 10/2, 8 a.m.
Local max/min (14.7).   [notes]

### WEEK 6

Lecture M 9/30: Reading: none for W 10/2.   Homework: due F 10/4, 8 a.m.
More max/min (14.7).   [notes]   [eMC]
Section Tu 10/1:   Worksheet (solutions)
Lecture W 10/2: Reading: 13.1, 13.2, 13.3 for F 10/4.   Homework: due M 10/7, 8 a.m.
Constrained max/min (14.8).   [notes] [eMC]
Section Th 10/3:  Worksheet (solutions)
Lecture Fr 10/4: Reading: 16.2 for M 10/7.   Homework: due W 10/9, 8 a.m.
Introduction to space curves (13.1, 13.2, 13.3).   [notes]

### WEEK 7

Lecture M 10/7: Reading: 16.1-16.2 for W 10/9.   Homework: due F 10/11, 8 a.m.
Arc length (13.3), integrating functions along curves (16.2).   [notes]
Section Tu 10/8:   Lagrange multipliers problems and QUIZ.
Lecture W 10/9: Reading: 16.3 for F 10/11.   Homework: due M 10/14, 8 a.m.
Vector fields (16.1), integrating vector fields along curves (16.2).   [notes] [draft notes]
Section Th 10/10:  Worksheet (solutions)
Lecture Fr 10/11: Reading: reread 16.3 for M 10/14.   Homework: due W 10/16, 8 a.m.
Integrating vector fields along curves (16.2, 16.3).   [notes]

### WEEK 8

Lecture M 10/14: Reading: none for W 10/16.   Homework: due F 10/18, 8 a.m.
Conservative vector fields, part I (16.3).   [notes]
Section Tu 10/15:   Worksheet (solutions)
Lecture W 10/16: Reading: 15.1-15.2 for F 10/18.   Homework: none.
Conservative vector fields, part 2 (16.3).   [notes]
Section Th 10/17:  QUIZ and line integral problems.
Lecture Fr 10/18: Reading: 15.3-15.4 for M 10/21.   Homework: included in previous assignment.
Multiple integrals (15.1 and 15.2).   [notes]

LAST DAY TO DROP THE COURSE.

### WEEK 9

Lecture M 10/21: Reading: 15.4-15.5 for F 10/25.   Homework: due F 10/25, 8 a.m.
Integrating over more complicated regions (15.3 and 15.4).   [notes]

EXAM TUESDAY EVENING, 6:45-8 P.M.
Section Tu 10/22:   Review for midterm.

TUTORING ROOM: The tutoring room in 343 Altgeld will close at 5 p.m. today (Tuesday).
TUESDAY, 10/22, 6:45-8 P.M.. MIDTERM 2. Information here.
Lecture W 10/23:  NO CLASS.
Section Th 10/24:  Midterm returned and worksheet (solutions)
Lecture Fr 10/25: Reading: 15.7 for M 10/28.   Homework: due W 10/30, 8 a.m.
Polar coordinates (15.4) and applications (15.5).   [notes]

### WEEK 10

Lecture M 10/28: Reading: 15.8-15.9 for W 10/30.   Homework: due F 11/1, 8 a.m.
Triple integrals (15.7).   [notes]
Section Tu 10/29:   Worksheet (solutions)
Lecture W 10/30: Reading: 15.10 for F 11/1.   Homework: due M 11/4, 8 a.m.
Integrating in cylindrical and spherical coordinates (15.8-15.9).   [notes]
Section Th 10/31:  Multivariable integral problems and QUIZ.
Lecture Fr 11/1: Reading: reread 15.10 for M 11/4.   Homework: due W 11/6, 8 a.m.
Changing coordinates I (15.10).   [notes]

### WEEK 11

Lecture M 11/4: Reading: 16.4 for W 11/6.   Homework: due F 11/8, 8 a.m.
Changing coordinates II (15.10).   [notes]

Section Tu 11/5:   Worksheet (solutions)
Lecture W 11/6: Reading: 16.6 for F 11/8.   Homework: due M 11/11, 11 a.m.
Green's Theorem (16.4).   [notes]
Section Th 11/7:  Change of coordinate problems and QUIZ.
Lecture Fr 11/8: Reading: 16.7 for M 11/11.   Homework: due W 11/13, 8 a.m.
Surfaces in R3 (16.6).   [notes] [One minute video on the Hairy Ball Theorem]

### WEEK 12

Lecture M 11/11: Reading: none for W 11/13.   Homework: due F 11/15, 8 a.m.
Area and integration on surfaces (16.6-16.7).   [notes]
Section Tu 11/12:   Worksheet (solutions)
Lecture W 11/13:  Reading: 16.5 and 16.7 for F 11/15.   Homework: due M 11/18, 8 a.m.
More surface integrals (16.7).   [notes]   [flux notebook]
Section Th 11/14:  Worksheet (solutions)
Lecture Fr 11/15: Reading: 16.7 for M 11/18.   Homework: included in next assignment.
Divergence and applications (16.5).   [notes]

### WEEK 13

Lecture M 11/18: Reading: .   Homework: none.
Surface integrals of vector fields (16.7).   [notes]
EXAM TUESDAY EVENING, 6:45-8 P.M.
Section Tu 11/19:  Review for midterm.
TUESDAY, 11/19, 6:45-8 P.M.: MIDTERM 3. Information here.
Lecture W 11/20:    Homework: none.
NO CLASS MEETING.
Section Th 11/21:   Midterm returned and discussed.
Lecture F 11/22 Reading: 16.8 for M 12/2.   Homework: due M 12/2.
The meaning of divergence.   [notes]
HAPPY THANKSGIVING!

### WEEK 14

Lecture M 12/2: Reading: reread 16.8 for W 12/4.   Homework: due F 12/6, 8 a.m.
Stokes's Theorem (16.8).   [notes]
Section Tu 12/3:   Worksheet and section ICES. (solutions)

Lecture W 12/4 Reading: none for F 12/6.   Homework: due M 12/9, 8 a.m.
Understanding curl (16.8).   [notes]
Section Th 12/5:  Discussion of surface integral problems and QUIZ.
Lecture Fr 12/6: Reading: none for M 12/9.   Homework: due W 12/11, 8 a.m.
Conservative vector fields in R3 (16.8).   [notes]

### WEEK 15

Lecture M 12/9: Reading: none for W 12/11.   Homework: none.
Electrostatics and Gauss's Law.   [notes]
Section Tu 12/10:   Review for final exam.
Lecture W 12/11:  Review for final exam. Seifert surfaces of knots.   [notes]

### FINAL EXAM:

Friday December 13th, 7-10pm.
Main course page.