## MATH B17-0 SEQUENCES AND SERIES/LINEAR ALGEBRA

Miguel A. Lerma - Fall 1999

Section 61

TECH L251 MWF 12:00 noon
TECH LG72 TH 12:00 noon
LUNT 105 TH 12:00 noon

`http://math.nwu.edu/~mlerma/courses/b17-99f/`

FINAL EXAM
Friday, December 10, 1999, 12:00 noon - 2:00 pm
Tech L251

Answers (pdf)
(Some question may have more than one
right answer although only one is shown.)

## Latest News

#### CTEC online pilot

This class has been included in a pilot test for course and teacher evaluation on line. You will be able to fill out and submit your evaluation survey on line by using a web browser. The surveys will be open for collection from Monday of reading week (November 29) until Monday after finals week (December 13) at 5 PM.

## Teachers

Instructor Teaching Assistant Teaching Assistant
Name Miguel A. Lerma Kamlesh Parwani Kristen Joy Schemmerhorn
Office Lunt 203 Lunt B14 Lunt B11
Phone 1-8020 7-1958 7-1953
E-mail mlerma@math.nwu.edu forty2@math.nwu.edu kjs@math.nwu.edu
Office Hours By appointment Tu 2-4, Th 1-2 MW 3-4, Th 1-2
Teaching in Tech L251 Tech LG72 Lunt 105

## Lectures and Homework Assignments

Note: The homework is always immediately due, which means that it may be the subject of the quiz of the next discussion session. The Maple Worksheets (denoted as "WS") will be collected on the indicated due date.

Lect. Date Subject Sections Assignment
1 Wed 9/22 L'Hopital's Rule, Improper Integrals 8.3-8.4, 9.8 Problems: 8.3: 1-10, 8.4: 1-10, 9.8: 1-10.
2 Fri 9/24 Sequences 11.1, 11.2 in E&P Problems: 11.2: 9-42, 54, 56.
3 Mon 9/27 Series 11.3 Problems: 11.3: 1-37, 49, 50, 64.
Maple Worksheet: WS1 (due 10/7/99)
4 Wed 9/29 Taylor Series 11.4 Problems: 11.4: 11-20, 23-25, 29-40.
Disc. Thu 9/30 Quiz No.1 11.1-11.4
5 Fri 10/1 Integral Test
Comparison Test
11.5, 11.6 Problems: 11.5: 1-30, 35-38; 11.6: 1-36.
6 Mon 10/4 Alternating Series 11.7 Problems: 11.7: 1-42.
7 Wed 10/6 Power Series 11.8 Problems: 11.8: 1-12, 27-30, 31-35
Maple Worksheet: WS2 (due 10/14/99)
Disc. Thu 10/7 Quiz No.2 11.5-I.8
8 Fri 10/8 Power Series Computations 11.9 Problems: 11.9: 23-28.
9 Mon 10/11 Matrices, Matrix Algebra I.1, I.2 in Notes Problems: I.2: 1-4, 6-7 from Notes
Maple Worksheet: WS3 (due 10/21/99)
10 Wed 10/13 Review for the First Midterm 11.1-11.9
Exam Thu 10/14 First Midterm
11 Fri 10/15 Formal Rules, Algebraic Equations I.3, I.4 Problems: I.3: 1,5; I.4:1-3
12 Mon 10/18 Singularity, Invertibility I.5 Problems: I.5: 1, 3, 5.
Maple Worksheet: WS4 (due 10/28/99)
13 Wed 10/20 Gauss-Jordan Reduction I.6 Problems: I.6: 1, 3, 6
Disc. Thu 10/21 Quiz No.3 I.1-I.6
14 Fri 10/22 Vector Spaces I.7 Problems: I.7: 1, 2, 4, 5
15 Mon 10/25 Linear Independence, Bases I.8 Problems: I.8: 1, 2, 3, 7, 8
16 Wed 10/27 Coordinates, Calculations in Rn I.9 Problems: I.9: 1, 2
Disc. Thu 10/28 Quiz No.4 I.7-I.9
17 Fri 10/29 Determinants II.1, II.2 Problems: II.2: 1, 4, 5
Maple Worksheet: WS5 (due 11/4/99)
18 Mon 11/1 Properties of Determinants II.3 Problems: II.3: 4, 6
19 Wed 11/3 Eigenvalues, Eigenvectors II.4 Problems: II.4: 1, 5, 6
Disc. Thu 11/4 Quiz No.5 II.1-II.4
20 Fri 11/5 Diagonalization II.5 Problems: II.5: 1, 2, 4
Maple Worksheet: WS6 (due 11/11/99)
21 Mon 11/8 Real Symmetric Matrices III.1 Problems: III.1: 1-4
22 Wed 11/10 Review for Second Midterm I.1-II.5
Exam Thu 11/11 Second Midterm
23 Fri 11/12 Gram-Schmidt Process III.2 Problems: III.2: 1-3
24 Mon 11/15 Change of Coordinates III.3 Problems: III.3: 4-5
25 Wed 11/17 Conics and Quadrics III.4 Problems: III.4: 1-4
Disc. Thu 11/18 Quiz No.6 III.1-III.4
26 Fri 11/19 Lagrange Multipliers III.5 Problems: III.5: 1-2
27 Mon 11/22 Lagrange Multipliers (cont'd)
Normal Modes (recommended reading)
III.6 Problems: III.6: 4-5
Maple Worksheet: WS7 (not due)
28 Wed 11/24 Review for the Final Exam All
29 Mon 11/29 Review for the Final Exam All
30 Wed 12/1 Review for the Final Exam All
31 Fri 12/3 Review for the Final Exam All
Exam Fri 12/10 FINAL EXAM

## Related links

Last modified: 12/10/99

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WWW Address: "http://math.nwu.edu/~mlerma/courses/b17-99f/"