Professor:
Dr. Janet Vassilev
Office: Humanities
Office
Hours: MWF 12 pm1 pm and by appointment.
Telephone: (505)
2772214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Chapter

Topic

Homework

1/20

1.11.2

Euclidean nspace^{} 

1/22

1.3

Limits and
Continuity


1/25

1.4

Sequences

(p. 8) 2b, 4,
5, 7, 8
(p. 12) 5, 6, 8, 9
(p. 19) 8, 9

1/27

1.5

Completeness


1/29

1.61.7

Compactness and
Connectedness

Solutions HW 1

2/1

1.8

Uniform
Continuity

(p. 23) 5, 6
(p. 2830) 3, 7, 8, 12
(p. 33) 4, 5, 6

2/3

2.2

Differentiability


2/5

2.2

Differentiability
continued

Solutions HW 2

2/8

2.3

Chain Rule

(p.3738) 1(a,b), 2, 4, 7, 9
(p. 4041) 1,
3, 4

2/10

2.3

More on Chain
Rule


2/12

2.42.5

Mean Value
Theorem and Implicit Functions

Solutions HW 3

2/15

2.6

Higher Order
Partials

(p. 6162) 1b,
2a, 6, 7
(p. 6970) 1, 4, 5
(p. 7273) 1, 2

2/17

2.7



2/19

2.7


Solutions HW 4

2/22

2.8

Critical Points


2/24


Review


2/26


Midterm 1


3/1

2.9

Extreme Value
Problems

(p. 7677) 2,
5, 6
(p. 8485) 4, 5, 10
(p. 95) 10

3/3

2.10

Derivatives of
VectorValued Functions

Solutions HW 5

3/5

3.1

Implicit
Function Theorem


3/8

3.2

Curves in the
Plane

(p. 100) 2, 4
(p. 105106) 1,
6, 9, 11, 16, 19

3/10

3.3

Surfaces and Curves
in Space

Solutions HW 6

3/12

3.4

Transformations
and Coordinate Systems


3/22

3.5

Functional
Dependence

(p. 111112) 5,
6, 7, 9
(p. 119120) 1,
5, 6, 8

3/24

4.2

Integration

Solutions HW 7

3/26

4.2

Integration


3/29

4.3

Multiple
Integrals

(p. 125) 2, 4
(p. 132133) 3, 4
(p. 138139) 2, 4, 6
(p. 146) 1

3/31

4.4

Change of
Variables

Solutions HW 8

4/2

4.4

Change of
Variables continued


4/5


Review

(p. 167) 2, 3,
4, 6

4/7


Midterm II


4/9

4.5

Functions
defined by Integrals


4/12

4.7

Improper
Integrals


4/14

5.1

Arclength and
Line Integrals


4/16

5.1

Arclength and
Line Integrals


4/19

5.2

Green’s Theorem

(p. 175176) 4, 6, 7, 9
(p. 187188) 6,
10, 11, 13

4/21

5.3

Surface
Integrals


4/23

5.45.5

Divergence
Theorem


4/26

5.6

Applications to
Physics

(p. 192193) 2, 5, 6, 7
(p. 206207) 2, 4
(p. 221) 2, 4,
5

4/28

5.7

Stoke’s Theorem


4/30

5.8

Integrating
Vector Derivatives


5/3

5.9

Differential
Forms


5/5

5.9

Differential
Forms continued


5/7


Review


5/12


Final exam

