calendar

Schedule, Homework and Lecture Notes

There will be weekly homework assignments, posted on website. Homework problems will NOT be collected or graded.
However, it is strongly recommended that you do all assigned exercises as this will help you master the material. Problems on quizzes
and exams might be similar to the homework problems. Student study guide with solutions for the textbook is on reserve in
the Math Library in 310 Vincent Hall. Approximate schedule of lectures is as follows:

Week Day
Date
Section Pre-lecture online readings
Assigned problems

1
W
1/17
1.3

2, 3, 6, 9, 12, 13

1
F
1/19
1.3
Forming planes* 7, 15ac, 18, 20, 29, 32, 34, 35, 40

2
W
1/24
1.5
Multiplying matrices and vectors* 2(a), 4, 7, 9, 11, 17

2
F
1/26
1.5

3
W
1/31
2.1
2.3

Level sets*

Introduction to partial derivatives*

1(a), 2, 3, 4(a), 6, 9, 10(a), 25, 27-38;
2, 3, 9

3
F
2/2
2.3

Introduction to differentiability*

7, 12, 13, 16(a)(b), 17, 18, 19, 23, 25, 26

4
W
2/7
2.5
2.4

Introduction to the chain rule*

2(e)(f), 3, 6, 7, 9, 11, 13, 33, 35;
2, 7, 13, 17, 18, 19, 22, 23, 25

4
F
2/9
2.6

An introduction to the directional derivative and the gradient*
2, 3, 4, 5, 7, 8, 9, 13, 17, 19, 20, 22(a), 31

5
W
2/14(Midterm) 5.1
5.2

Introduction to double integrals*
1, 3, 11, 13;
1, 2, 3, 4, 7, 8, 10, 11, 13

5
F
2/16
5.3
5.4

1(abc), 2, 4, 5, 9, 11, 12, 13, 15;
1, 2, 4, 5, 7, 9, 12, 15, 17

6
W
2/21
5.5
Introduction to triple integrals* 1, 4, 7, 9, 11, 12, 13, 15, 17, 19, 21, 23, 25, 27

6
F
2/23
4.1
4.2

The length of a curve*
The idea of divergence of a vector field*

1, 7, 9, 13, 15, 20, 23, 25;
3, 6, 7, 9, 12, 13;

7
W
2/28
4.3
4.4
7.1
The idea of curl of a vector field*
Introduction to a line integral of a scalar-valued function*
Line integrals are independent of parametrization*
1, 7, 9, 11, 15, 20, 21
1, 11, 13, 15, 17, 19, 21, 24, 25, 26, 27, 31;
1, 3, 5, 9, 10, 11, 25, 27

7
F
3/2
7.2

1, 3, 4(c)(d), 5, 9, 11, 12

8
W
3/7
8.1
The idea behind Green's theorem*
When Green's theorem applies*
2, 3, 5, 6, 7, 8, 9, 12, 15, 18, 19, 21

8
F
3/9
8.3
An introduction to conservative vector fields* (8.3)1, 3, 4, 7, 8, 13, 17, 18, 19;
also do 16, 17, 18, 19 in sec. 7.2

9
W
3/14
Spring Break

9
F
3/16
Spring Break

10
W
3/21(Midterm) 1.4
Introduction to changing variables in double integrals* 1, 3, 5, 7(a)(d), 11

10
F
3/23
6.1

1, 3, 5, 7, 10

11
W
3/28
6.2
Triple integral change of variables story* 1, 2, 3, 4(Hint), 5, 11, 13, 15, 19, 22(Hint), 23, 25, 26, 27, 30, 31

11
F
3/30
7.3

1, 3, 5, 7, 8, 9, 10, 14, 15, 19

12
W
4/4
7.4
7.5
Surface area of parametrized surfaces*
Introduction to a surface integral of a vector field* 1, 5, 6, 7, 9, 10, 13, 17
1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 16, 20

12
F
4/6
7.6
1, 3, 4, 5, 7, 9, 11, 19

13
W
4/11
8.2

3, 5, 7, 8, 11, 23,

13
F
4/13
8.2
9, 13, 15, 17, 18

14
W
4/18(Midterm) 8.4 The idea behind the divergence theorem* 1, 3, 5, 9, 11, 14, 16

14
F
4/20
3.1
3.2

2, 7, 9, 11, 12, 15, 16(a), 25, 29
1, 3, 5, 7, 9 - only do Taylor approximation, 11

15
W
4/25
3.3
3, 5, 11, 13, 17, 19, 21

15
F
4/27
3.3
Review

Review formula list 1
29, 41, 43

16
W
5/2
Review
Review formula list 2

16
F
5/4
Review

17
M
5/7 (FINAL EXAM)

Course Calendar

Week

Monday Tuesday Wednesday Thursday Friday

1

Jan. 16
Jan. 17
Jan. 18
Jan. 19

2
Jan. 22

Jan. 23

Jan. 24 Jan. 25

Jan. 26

3
Jan. 29
Jan. 30

Lab 1 Due

Quiz 1

Jan. 31

Feb. 1

Feb. 2

4
Feb. 5 Feb. 6

Lab 2 Due

Quiz 2

Feb. 7

Feb. 8

Feb. 9

5
Feb. 12 Feb. 13

Lab 3 Due

Feb. 14

MIDTERM 1

Feb. 15

Feb. 16

6
Feb. 19 Feb. 20

Lab 4 Due

Quiz 3

Feb. 21
Feb. 22

Feb. 23

7
Feb. 26 Feb. 27

Lab 5 Due

Quiz 4

Feb. 28

Mar. 1

Mar. 2

8
Mar. 5 Mar. 6

Lab 6 Due

Quiz 5

Mar. 7
Mar. 8

Mar. 9

9
Mar. 12

Spring Break

Mar. 13

Spring Break
Mar. 14

Spring Break

Mar. 15

Spring Break

Mar. 16

Spring Break

10
Mar. 19 Mar. 20

Lab 7 Due

Mar. 21

MIDTERM 2

Mar. 22

Mar. 23

11
Mar. 26 Mar. 27

Lab 8 Due

Quiz 6

Mar. 28

Mar. 29

Mar. 30

12
Apr. 2
Apr. 3

Lab 9 Due

Quiz 7

Apr. 4
Apr. 5

Apr. 6

13
Apr. 9
Apr. 10

Lab 10 Due

Quiz 8

Apr. 11

Apr. 12

Apr. 13

14
Apr. 16 Apr. 17

Lab 11 Due

Apr. 18

MIDTERM 3
Apr. 19

Apr. 20

15
Apr. 23
Apr. 24

Lab 12 Due

Quiz 9

Apr. 25

Apr. 26

Apr. 27

16
Apr. 30
May 1

Lab 13 Due

Quiz 10

May 2

May 3
May 4

17
May 7
FINAL EXAM
Location :
see course webpage
May 8
May 9 May 10
May 11

Week	Day	Date	Section	Pre-lecture online readings	Assigned problems
1	W	1/17	1.3		2, 3, 6, 9, 12, 13
1	F	1/19	1.3	Forming planes*	7, 15ac, 18, 20, 29, 32, 34, 35, 40
2	W	1/24	1.5	Multiplying matrices and vectors*	2(a), 4, 7, 9, 11, 17
2	F	1/26	1.5
3	W	1/31	2.1 2.3	Level sets* Introduction to partial derivatives*	1(a), 2, 3, 4(a), 6, 9, 10(a), 25, 27-38; 2, 3, 9
3	F	2/2	2.3	Introduction to differentiability*	7, 12, 13, 16(a)(b), 17, 18, 19, 23, 25, 26
4	W	2/7	2.5 2.4	Introduction to the chain rule*	2(e)(f), 3, 6, 7, 9, 11, 13, 33, 35; 2, 7, 13, 17, 18, 19, 22, 23, 25
4	F	2/9	2.6	An introduction to the directional derivative and the gradient*	2, 3, 4, 5, 7, 8, 9, 13, 17, 19, 20, 22(a), 31
5	W	2/14(Midterm)	5.1 5.2	Introduction to double integrals*	1, 3, 11, 13; 1, 2, 3, 4, 7, 8, 10, 11, 13
5	F	2/16	5.3 5.4		1(abc), 2, 4, 5, 9, 11, 12, 13, 15; 1, 2, 4, 5, 7, 9, 12, 15, 17
6	W	2/21	5.5	Introduction to triple integrals*	1, 4, 7, 9, 11, 12, 13, 15, 17, 19, 21, 23, 25, 27
6	F	2/23	4.1 4.2	The length of a curve* The idea of divergence of a vector field*	1, 7, 9, 13, 15, 20, 23, 25; 3, 6, 7, 9, 12, 13;
7	W	2/28	4.3 4.4 7.1	The idea of curl of a vector field* Introduction to a line integral of a scalar-valued function* Line integrals are independent of parametrization*	1, 7, 9, 11, 15, 20, 21 1, 11, 13, 15, 17, 19, 21, 24, 25, 26, 27, 31; 1, 3, 5, 9, 10, 11, 25, 27
7	F	3/2	7.2		1, 3, 4(c)(d), 5, 9, 11, 12
8	W	3/7	8.1	The idea behind Green's theorem* When Green's theorem applies*	2, 3, 5, 6, 7, 8, 9, 12, 15, 18, 19, 21
8	F	3/9	8.3	An introduction to conservative vector fields*	(8.3)1, 3, 4, 7, 8, 13, 17, 18, 19; also do 16, 17, 18, 19 in sec. 7.2
9	W	3/14	Spring Break
9	F	3/16	Spring Break
10	W	3/21(Midterm)	1.4	Introduction to changing variables in double integrals*	1, 3, 5, 7(a)(d), 11
10	F	3/23	6.1		1, 3, 5, 7, 10
11	W	3/28	6.2	Triple integral change of variables story*	1, 2, 3, 4(Hint), 5, 11, 13, 15, 19, 22(Hint), 23, 25, 26, 27, 30, 31
11	F	3/30	7.3		1, 3, 5, 7, 8, 9, 10, 14, 15, 19
12	W	4/4	7.4 7.5	Surface area of parametrized surfaces* Introduction to a surface integral of a vector field*	1, 5, 6, 7, 9, 10, 13, 17 1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 16, 20
12	F	4/6	7.6		1, 3, 4, 5, 7, 9, 11, 19
13	W	4/11	8.2		3, 5, 7, 8, 11, 23,
13	F	4/13	8.2		9, 13, 15, 17, 18
14	W	4/18(Midterm)	8.4	The idea behind the divergence theorem*	1, 3, 5, 9, 11, 14, 16
14	F	4/20	3.1 3.2		2, 7, 9, 11, 12, 15, 16(a), 25, 29 1, 3, 5, 7, 9 - only do Taylor approximation, 11
15	W	4/25	3.3		3, 5, 11, 13, 17, 19, 21
15	F	4/27	3.3 Review	Review formula list 1	29, 41, 43
16	W	5/2	Review	Review formula list 2
16	F	5/4	Review
17	M	5/7 (FINAL EXAM)

Week	Monday	Tuesday	Wednesday	Thursday	Friday
1		Jan. 16	Jan. 17	Jan. 18	Jan. 19
2	Jan. 22	Jan. 23	Jan. 24	Jan. 25	Jan. 26
3	Jan. 29	Jan. 30 Lab 1 Due Quiz 1	Jan. 31	Feb. 1	Feb. 2
4	Feb. 5	Feb. 6 Lab 2 Due Quiz 2	Feb. 7	Feb. 8	Feb. 9
5	Feb. 12	Feb. 13 Lab 3 Due	Feb. 14 MIDTERM 1	Feb. 15	Feb. 16
6	Feb. 19	Feb. 20 Lab 4 Due Quiz 3	Feb. 21	Feb. 22	Feb. 23
7	Feb. 26	Feb. 27 Lab 5 Due Quiz 4	Feb. 28	Mar. 1	Mar. 2
8	Mar. 5	Mar. 6 Lab 6 Due Quiz 5	Mar. 7	Mar. 8	Mar. 9
9	Mar. 12 Spring Break	Mar. 13 Spring Break	Mar. 14 Spring Break	Mar. 15 Spring Break	Mar. 16 Spring Break
10	Mar. 19	Mar. 20 Lab 7 Due	Mar. 21 MIDTERM 2	Mar. 22	Mar. 23
11	Mar. 26	Mar. 27 Lab 8 Due Quiz 6	Mar. 28	Mar. 29	Mar. 30
12	Apr. 2	Apr. 3 Lab 9 Due Quiz 7	Apr. 4	Apr. 5	Apr. 6
13	Apr. 9	Apr. 10 Lab 10 Due Quiz 8	Apr. 11	Apr. 12	Apr. 13
14	Apr. 16	Apr. 17 Lab 11 Due	Apr. 18 MIDTERM 3	Apr. 19	Apr. 20
15	Apr. 23	Apr. 24 Lab 12 Due Quiz 9	Apr. 25	Apr. 26	Apr. 27
16	Apr. 30	May 1 Lab 13 Due Quiz 10	May 2	May 3	May 4
17	May 7 FINAL EXAM Location : see course webpage	May 8	May 9	May 10	May 11