MATH B17-0 SEQUENCES AND SERIES/LINEAR ALGEBRA

Miguel A. Lerma - Winter 1999

Section 61

TECH LR4 (M113) MWF 12:00 noon

LUNT 103 or 104 TH 12:00 noon

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

Note: This section is for students whose last names begin A-KO. Students with last names beginning KU-Z should attend B17 section 63, Tatyana Foth, TECH MG28. (However adds/drops might have changed this division of the course.)

FINAL EXAM
Thursday, March 18, 1999, 3:00-5:00 pm
Annemberg G21

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

Teachers

Instructor Teaching Assistant
Name Miguel A. Lerma Lena Vaynberg
Office Lunt 203 Lunt B10
Phone 1-8020 1-1956
E-mail mlerma@math.nwu.edu lena@math.nwu.edu
Office Hours By appointment Mon 2-3pm; Wed 7-9pm

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 Mon 1/4 Sequences 11.1, 11.2 in E&P Problems: 11.2: 2-34 (even), 39, 40.
2 Wed 1/6 Series 11.3 Problems: 11.3: 2-28 (even), 36, 46.
Maple Worksheet: WS1 (due 1/14/99)
Disc. Thu 1/7 L'Hopital's Rule, Improper Integrals 8.3-8.4, 9.8
3 Fri 1/8 Taylor Series 11.4 Problems: 11.4: 11-20, 29-42.
4 Mon 1/11 Integral Test 11.5 Problems: 11.5: 1-28, 38.
5 Wed 1/13 Comparison Test 11.6 Problems: 11.6: 1-35.
Disc. Thu 1/14 Quiz No.1 11.1-11.6
6 Fri 1/15 Alternating Series 11.7 Problems: 11.7: 1-32, 41.
7 Mon 1/18 Power Series 11.8 Problems: 11.8: 1-9, 21-26, 31-34, 37.
Maple Worksheet: WS2 (due 1/21/99)
8 Wed 1/20 Power Series Computation 11.9 Problems: 11.9: 21-26.
Disc. Thu 1/21 Quiz No.2 11.7-11.9
9 Fri 1/22 Review for the First Midterm 11.1-11.9
Exam Mon 1/25 First Midterm
10 Wed 1/27 Matrices, Matrix Algebra I.1, I.2 in Notes Problems: I.2: 1-4, 6-7 from Notes
Maple Worksheet: WS3 (due 2/4/99)
Disc. Thu 1/28 Quiz No.3 I.1-I.2
11 Fri 1/29 Formal Rules, Algebraic Equations I.3, I.4 Problems: I.3: 1,5; I.4:1-3
12 Mon 2/1 Singularity, Invertibility I.5 Problems: I.5: 1, 3, 5, 7.
Maple Worksheet: WS4 (due 2/11/99)
13 Wed 2/3 Gauss-Jordan Reduction I.6 Problems: I.6: 1, 3, 6
Disc. Thu 2/4 Quiz No.4 I.3-I.6
14 Fri 2/5 Vector Spaces I.7 Problems: I.7: 1, 2, 4, 5
15 Mon 2/8 Linear Independence, Bases I.8 Problems: I.8: 1, 2, 3, 7, 8
16 Wed 2/10 Coordinates, Calculations in Rn I.9 Problems: I.9: 1, 2
Disc. Thu 2/11 Quiz No.5 I.7-I.9
17 Fri 2/12 Determinants II.1, II.2 Problems: II.2: 1, 4, 5
Maple Worksheet: WS5 (due 2/18/99)
18 Mon 2/15 Properties of Determinants II.3 Problems: II.3: 4, 6
19 Wed 2/17 Eigenvalues, Eigenvectors II.4 Problems: II.4: 1, 5, 6
Disc. Thu 2/18 Quiz No.6 II.1-II.4
20 Fri 2/19 Diagonalization II.5 Problems: II.5: 1, 2, 4
Maple Worksheet: WS6 (due 2/25/99)
21 Mon 2/22 Review for Second Midterm I.1-II.5
Exam Wed 2/24 Second Midterm
Disc. Thu 2/25 (no quiz)
22 Fri 2/26 Real Symmetric Matrices III.1 Problems: III.1: 1-4
23 Mon 3/1 Gram-Schmidt Process III.2 Problems: III.2: 1-3
24 Wed 3/3 Change of Coordinates III.3 Problems: III.3: 4-5
Disc. Thu 3/2 Quiz No.7 III.1-III.3
25 Fri 3/5 Conics and Quadrics III.4 Problems: III.4: 1-4
26 Mon 3/8 Review for the Final Exam All Recommended: Read sections III.5 and III.6; do Maple Worksheet WS7 (not due)
27 Wed 3/10 Review for the Final Exam All
28 Fri 3/12 Review for the Final Exam All
Exam Thu 3/18 FINAL EXAM