Math 2374 Spring Semester 2005
IT Multivariable Calculus and Vector Analysis
Lecture and homework schedule
This schedule may be revised from time to time during the semester. Make sure you are using the latest version! We will always announce in lecture when this page has been revised; you are responsible for any such changes. Last updated on: 08/26/05.

We strongly urge you to work out more problems than those listed here.

Note that S stands for problems from sample final.
Week
 Day
 Date
 Section
 Problems
 Due Date
1
 Wed
 1/19
 1.2
 13, 16, 28
 1/28



1.4
 4, 5, 10, 19
 1/28
1
 Fri
 1/21
 1.5
 1, 7, 13, 18, S3b (recall, S3b=problem 3b on sample final) 1/28
2
 Wed 1/26
 1.6
 10, 12, additional problem written below
 2/4
2
 Fri 1/28
 2.1
 14, 15, 24, 38, 39
 2/4
3
 Wed 2/2
 2.3
 6, 12, 14, 19
 2/11
3
 Fri 2/4
 2.3
 21, 24, 30, 34
 2/11
4
 Wed
 2/9
 2.4
 16, 20a
 2/18



2.5
 2, 9, 15, 19, S7
 2/18
4
 Fri 2/11
 2.6
 3, 7, 12
 2/18
5
 Wed 2/16
 2.6
 21, S2, S9a
 2/25
5
 Fri 2/18
 5.1
 4, 10, 13
 2/25



5.2
 1, 5, 11
 2/25
6
 Wed 2/23
 5.2
 12, 15
 3/4



5.3
 1, 2, 4, 6
 3/4
6
 Wed 2/23
 First Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
6
 Fri 2/25
 3.1
 4, 10, 18
 3/4



3.2
 4, 5
 3/4
7
 Wed 3/2
 3.3
 2, 6, 8
 3/11
7
 Fri 3/4
 6.1
 2, 5, 6, 9, 16, 21
 3/11
8
 Wed 3/8
 6.2
 3, 4, 8, 10, 17
 3/25
8
 Fri 3/11
 3.4
 2, 4, 10, 12, 14
 3/25
Spring Break March 14-18
9
 Wed 3/23
 6.3
 1, 7, 8, 12, 14, S9b
 4/1
9
 Fri 3/25
 5.4
 2, 7, 8, 12, 17, 20
 4/1
10
 Wed 3/30
 1.7
 9, 18, 24, 26, 33
 4/8
10
 Wed 3/30
 Second Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
10
 Fri
 4/1
 5.5
 2, 8, 13, S8
 4/8
11
 Wed 4/6
 5.5
 22, 28, 29, S4a
 4/15
11
 Fri 4/8
 7.1
 5, 10, 11, 18, 19, 20, S3a
 4/15
12
 Wed 4/13
 7.2
 1, 8, 15, 18, 21, S6
 4/22
12
 Fri 4/15
 7.3
 1, 3, 4, 11, S5
 4/22
13
 Wed 4/20
 7.3
 6, 7
 4/29
13
 Fri 4/22
 7.3
 12, S4b
 4/29
14
 Wed 4/27
 4.1
 5, 10, 11
 5/6
14
 Wed 4/27
 Third Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
14
 Fri 4/29
 4.1
 15, 18, 19
 5/6
15
 Wed 5/4
 4.2
 2, 9, 16, 23, S1
 5/9
15
 Fri 5/6
 Review

15
 Mon
 5/9
 FINAL EXAM -- 1:30 PM to 4:30 PM

Additional problem for section 1.6

Let S(x1, x2) = (x1 + x2, 2x2 - x1, x1) and T(x1, x2, x3) = (x2 + x3, x1 + x3, x1 + x2).

  1. Write down

    S(x1, x2) = A$\displaystyle \left[\vphantom{ \begin{array}{r} x_1\ x_2 \end{array} }\right.$$\displaystyle \begin{array}{r} x_1\ x_2 \end{array}$$\displaystyle \left.\vphantom{ \begin{array}{r} x_1\ x_2 \end{array} }\right]$    
    T(x1, x2, x3) = B$\displaystyle \left[\vphantom{ \begin{array}{r} x_1\ x_2\ x_3 \end{array} }\right.$$\displaystyle \begin{array}{r} x_1\ x_2\ x_3 \end{array}$$\displaystyle \left.\vphantom{ \begin{array}{r} x_1\ x_2\ x_3 \end{array} }\right]$    

    for suitable matrices A and B.

  2. Compute the composition T(S(x1, x2)).

  3. Write down

    T(S(x1, x2)) = C$\displaystyle \left[\vphantom{ \begin{array}{r} x_1\ x_2 \end{array} }\right.$$\displaystyle \begin{array}{r} x_1\ x_2 \end{array}$$\displaystyle \left.\vphantom{ \begin{array}{r} x_1\ x_2 \end{array} }\right]$    

    for suitable matrix C.

  4. Compute the matrix D = BA.

  5. What is the relationship between C and D?

  6. If the composition S(T(x1, x2, x3)) is defined, compute it. Otherwise, explain why it is not defined.

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