Math 2374 Fall Semester 2004
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: 11/15/04.

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
 9/8
 1.2
 13, 16, 28
 9/17



1.4
 4, 5, 10, 19
 9/17
1
 Fri
 9/10
 1.5
 1, 7, 13, 18, S3b (recall, S3b=problem 3b on sample final) 9/17
2
 Wed 9/15
 1.6
 10, 12, additional problem written below
 9/24
2
 Fri 9/17
 2.1
 14, 15, 24, 38, 39
 9/24
3
 Wed 9/22
 2.3
 6, 12, 14, 19
 10/1
3
 Fri 9/24
 2.3
 21, 24, 30, 34
 10/1


2.4
 16, 20a
 10/1
4
 Wed 9/29
 2.5
 2, 9, 15, 19, S7
 10/8
4
 Fri 10/1
 2.6
 3, 7, 12, 21,S2, S9a
 10/8
5
 Wed 10/6
 5.1
 4, 10, 13
 10/15



5.2
 1, 5, 11
 10/15
5
 Fri 10/8
 5.2
 12, 15
 10/15



5.3
 1, 2, 4, 6
 10/22
6
 Wed 10/13
 3.1
 4, 10, 18
 10/22



3.2
 4, 5
 10/22
6
 Wed 10/13
 First Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
6
 Fri 10/15
 3.3
 2, 6, 8
 10/22
7
 Wed 10/20
 6.1
 2, 5, 6, 9, 16, 21
 10/29
7
 Fri 10/22
 6.2
 3, 4, 8, 10, 17
 10/29
8
 Wed 10/27
 3.4
 2, 4, 10, 12, 14
 11/5
8
 Fri 10/29
 6.3
 1, 7, 8, 12, 14, S9b
 11/5
9
 Wed 11/3
 5.4
 2, 7, 8, 12, 17, 20
 11/12
9
 Fri 11/5
 1.7
 9, 18, 24, 26, 33
 11/12



5.5
 2, 8, 13, S8
 11/12
10
 Wed 11/10
 5.5
 22, 28, 29, S4a
 11/19
10
 Wed 11/10
 Second exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
10
 Fri 11/12
 5.5
 (catch up)
 11/19
11
 Wed 11/17
 7.1
 5, 10, 11, 18, 19, 20, S3a
 11/24
11
 Fri 11/19
 7.2
 1, 8, 15, 18, 21, S6
 12/3
12
 Wed 11/24
 7.3
 1, 3, 4, 11, S5
 12/3
12
 Fri 11/26
 No class

13
 Wed 12/1
 7.3
 6, 7, 12, S4b
 12/10
13
 Fri 12/3
 4.1
 5, 10, 11
 12/10
14
 Wed 12/8
 4.1
 15, 18, 19
 12/15
14
 Wed 12/8
 Third Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
14
 Fri 12/10
 4.2
 2, 9, 16, 23, S1
 12/15
15
 Wed 12/15
 Review

15
 Thu
 12/16
 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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