# Mathematics B17

This is the homepage for section 41 (MWF 10 am in Tech LR4), taught by Gui-Qiang Chen, Prof. of Math. Winter Quarter 1998

Office: Lunt 306

Office Hours: Mondays, Wednesdays, 1:00-1:50pm or by appointment

Teaching Assistants: Joseph Franecki, Lunt 106; Office Hours, Tuesday 3-5pm, Wednesday 4-5pm.
Julia Pevtsova, Lunt B11; Office Hours, Tuesday 9-10am, 3:30-4:30pm Friday 12-1pm.

Text Books: Calculus and Analytical Geometry (Chapter 11), 4th edition, by Edwards and Penny. A Brief Course in Linear Algebra, by Leonard Evans (On sale at Quartet or one of the other local copy shops).

Quiz Sections: Students with last initial A-K meet with Franecki in Lunt 107.
Students with last initial L-Z meet with Pevtsova in Lunt 103.

Grading: I will use a 90%-80%-70%-60% scale to determine A-B-C-D grades: Final Exam 30%, Hour Exams 20% each, Homework quizzes 30%.

Exams: To be excused from an exam, except for sudden illness, you must make arrangement at least 24 hours before the exam is scheduled. Anyone missing an exam without previously arranging to do so will receive 0%. I do not give make-up exams.

Webpage: Please check my wedpage for B17 at
http://www.math.nwu.edu/~gqchen/teach/B17/mathb17-winter98.html
for update information.

## Maple worksheets

Here is the information on Maple worksheets. You may try the demonstration worksheet.

Then do the following worksheets as these topics are discussed in class.

WS1
, on Taylor Series.

WS2
, more on Taylor series.

WS3
, Matrix Operations.

## Homework

(Note that the following schedule is only approximate. Often a particular topic will spill over into a subsequent lecture.)

Monday, January 5. Review L'Hopital's Rule. Read Sections 8.3, 8.4.
Do problems 8.3: 3, 5, 13, 23. 8.4: 23, 31, 35.
Review Improper Integrals. Read Section 9.8
Do problems 9.8: 1, 5, 21.

Wednesday, January 7. Sequences and Series. Read Sections 11.2, 11.3.
Do problems 11.2: 1, 3, 5, 7, 11, 13, 17, (25, 31 use ln).
11.3: 1, 3, 5, 7, 9, 11, 19, 21, 25, 33, 45, 46, 53.

Friday, January 9. Taylor's Formula and Series (partly review). Read Section 11.4.
Do problems 11.4: 1, 2, 3, 5, 7, 10, 11, 13, 16, 17, 19, 21, 25, 27, 45.

Monday, January 12. The Integral Test. Read Section 11.5.
Do problems 11.5: 1, 3, 5, 7, 9, 13, 29, 31, 33, 37, 39.

Wednesday, January 14. The Comparison Test. Read Section 11.6.
Do problems 11.6: 1, 3, 5, 13, 27, 33, 35.

Do problems 11.7: 1, 3, 5, 7, 9, 33, 35, 39, 41.

Friday, January 16. Ratio Test. Read Section 11.7
Do problems 11.7: 11, 13, 15, 17, 19, 27, 31, 43.

Monday, January 19. Power series. Read Section 11.8
Do problems 11.8: 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33, 34.

Wednesday, January 21. More Power Series. Read Section 11.9
Do problems 11.9: 1, 3, 4, 11, 13, 17, 19, 21, 25.

Friday, January 23. Matrices. Read Sections I.1,2.
Do problems I.1: 1,2; I.2:1-7.

Monday, January 26. Matrix Algebra, Equations. Read Sections I.3,4
Do problems I.3: 1. 2. 3. 5; I.4: 1-4.

Wednesday, January 28. Singularity, Invertibility. Read Section I.5
Do problems I.5: 1-4.

Friday, January 30. Gauss-Jordan extended. Read Section I.6.
Do problems I.6: 1-7.

Monday, February 2. Vector Spaces. Read Section I.7.
Do problems I.7: 1-5.

Wednesday, February 4. Finish Section I.7, Review for 1st Midterm Exam, Read Section I.8 on linear independence and bases.
Do problems I.8:1-4, 6-8.

Friday, February 6. Review for 1st Midterm Exam extended (no meeting); See TAs during Office Hours.

Monday, February 9. First Midterm Exam.

Wednesday, February 11. Coordinates, Calculations in R^n. Read Section I.9.
Do problems I.9: 1-3, 5, 6.

Friday, February 13. Determinants. Read Section II.1.
Do problems II.1: 1-4.

Monday, February 16. Determinants (more). Read Sections II.2,3.
Do problems II.2: 1-3, 5-8; II.3: 1-6.

Wednesday, February 18. Eigenvalues and Eigenvectors. Read Section II.4 (in the hand out; this is missing from the green booklet).
Do problems II.4: 1-4, 6.

Friday, February 20. Diagonalization. Read Section II.5
Do problems II.5: 1-6.

Monday, February 23. Diagonalizable Matrices continued.

Wednesday, February 25. Real Symmetric Matrices. Read Section III.1
Do problems III.1: 1-5.

Friday, February 27. Repeated Eigenvalues. Read Section III.2.
Do problems III.2: 1-4.

Monday, March 2. Review for second Midterm Exam.

Tuesday, March 3. Second Midterm Exam in quiz section.

Wednesday, March 4. Change of coordinates. Read Section III.3.
Do problems III.3: 1-7.

Do problems III.4: 1-4.

Monday, March 9. Review for exam.

Friday, March 13. Review for exam.

MONDAY, March 16. FINAL EXAM: 3:00-5:00pm at Tech LR#5.

Here an old first midterm midterm1

Here is an old second midterm midterm2

Here are some old final exams old exams