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.)

Thursday, March 18, 1999, 3:00-5:00 pm

Answers (pdf)

(Some question may have more than one

right answer although only one is shown.)

- Teachers
- Class Logistic
- Lectures and Homework Assignments
- News - Last News
- Related links
- List of Grades

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 |

**Textbooks****Infinite Series**- C.H. Edwards, Jr. & David E. Penney:
*Calculus with Analytic Geometry*, 4th edition, Prentice Hall, chap. 11. **Linear Algebra**- Leonard Evens:
*Sequences & Series, Linear Algebra*(Notes), Northwestern University. Available at Quartet (on Clark Street, West of Sherman).

**Discussions**The discussion sessions will be held on Thursdays under the supervision of the TA.

**Homework**Homework will be assigned daily but not collected. Several assignments will consists of Maple Worksheets, and these will be collected on the discussion session and graded by the TA.

**Maple Worksheets**Look at http://www.math.nwu.edu/maple/ for information about Maple Worksheets.

Look at http://www.math.nwu.edu/maple/b17/ for the worksheets for B17.

Troubleshooting: http://www.math.nwu.edu/maple/help.html.**Quizzes**There will be short quizzes based on the homework from previous lectures on the Thursday discussion sessions.

**Exams**There will be two one-hour Midterm Exams and one two-hour Final Exam.

**First Midterm:**Monday, January 25, 1999. Infinite Series.**Second Midterm:**Wednesday, February 24, 1999. Linear Algebra, chapters I and II.**Final:**Thursday, March 18, 1999, 3:00-5:00 pm,**Annemberg G21**. It will include questions from the whole syllabus.

Calculators are not allowed in the exams. No make-up exams will be given. In the event of an extreme and well documented absence (such as hospitalization) the final may be weighted to count for the missing exam. In the case of a missed exam, contact the instructor as soon as possible.

**Grading**The course will be graded as follows:

**Quizzes**: 20%**Maple Worksheets**: 10%**Midterms**: 40% (20% each)**Final**: 30%

The two lowest quiz scores will be dropped in calculating the quizzes grade. There will be no make-up quizzes. If you miss a quiz it will be dropped as your worst quiz grade. The lowest maple worksheet grade will also be dropped.

**Add/Drop Policy**If you want to change sections, or add/drop the course, please do so at the Math Department Office in Lunt.

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 R^{n} |
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 |

**Wednesday, January 6, 1999.****Maple Worksheet demonstration**in Annenberg G15 at 7:00pm.

**Thursday, January 7, 1999.**- No quiz in the first discussion session. It will be dedicated to a review of L'Hopital's Rule (E&P, sec. 8.3-8.4), and Improper Integrals (E&P, sec. 9.8).
**Maple Worksheet demonstration**in Annenberg G15 at 7:00pm.

**Thursday, January 14, 1999.**- The discussion section was moved to Math Lunt 104. Ask the TA about a possible made up quiz if you missed it because of the room change.

**Monday, January 25, 1999.****Thursday, February 25, 1999.**- No quiz on this date.

**Wednesday, February 24, 1999.****Second Midterm Exam:**answers (pdf).

**Friday, March 12, 1999.****Course and Teacher Evaluation.**The last 20 minutes of the class will be devoted to the Class and Teacher Evaluation. Do not forget to bring your No. 2 pencil.

**Wednesday, March 17, 1999.****Review Session:**3:00-5:00 pm, Lunt 103 or 104.

**Thursday, March 18, 1999.****Final Exam:**3:00-5:00 pm,**Annemberg G21**. Answers (pdf)

- B17 (section 63): Tatyana Foth, TECH MG28
- B17 Maple Worksheets
- NU Math Class Assigments
- NU Math Department Home Page

Last modified: 3/18/99

Feedback: mlerma@math.nwu.edu