All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces it strictly. This means there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the Honor Code, students are obligated to report any such activities to the Instructor.
Mathematics 630-102:
linear algebra and applications
Spring 2007
Instructor: Prof.
Matveev
Textbook: Linear Algebra and Its
Applications by G. Strang, Thomson Brooks/Cole, ISBN:
0030105676
Grading
Policy: The final grade in this course will
be determined as follows:
|
☑ Homework:: |
|
20% |
|
☑ Quizzes |
|
20% |
|
☑ Midterm: |
|
28% |
|
☑ Final Exam: |
|
32% |
Please
note that the University Drop Date March
26, 2007
deadline will be strictly enforced.
Homework
Policy: While studying in a group is
helpful for reviewing the complicated topics of the course, all homework should represent purely individual effort.
No collective work on the
homework problems is allowed. Under the Honor Code, students are obligated to report any such activities to the
Instructor.
Attendance and Participation: Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.
Makeup Exam Policy: There will be no makeup exams, except in rare situations where the student has a legitimate reason for missing an exam, including illness, death in the family, accident, requirement to appear in court, etc. The student must notify the Math office and the Instructor that he/she will miss an exam. In all cases, the student must present proof for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
|
Week 1-2
(Jan
18, 25) Matrices and Gaussian Elimination –
Chapter 1 | ||
|
SECTIONS | ||
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☑
1.1: |
Page: 1-3 |
|
|
☑
1.2: |
Page: 3-11 |
Problems: 1, 3, 5, 8,
9 |
|
☑
1.3: |
Page: 11-19 |
Problems: 13, 25,
30 |
|
☑
1.4: |
Page: 19-32 |
Problems: 1, 3, 5, 7, 12-15, 18, 21
|
|
☑
1.5: |
Page: 32-45 |
Problems: 4-6, 15, 18,
19 |
|
☑
1.6: |
Page: 45-58 |
Problems: 1, 3, 6, 8, 13, 15,
19 |
|
☑
1.7: |
Page: 58-64 |
Problems: 3-5,
10 |
|
☑
R1: |
Page: 65-67 |
Problems: 1, 4, 10, 13, 17, 19,
28 |
|
Week 3-4
(Feb 1,
8) Vector Spaces – Chapter
2 | ||
|
SECTIONS | ||
|
☑
2.1: |
Page: 69-77 |
Problems: 1-3,
5-9 |
|
☑
2.2: |
Page: 77-91 |
Problems: 1-7 |
|
☑
2.3: |
Page: 92-102 |
Problems: 1-3, 11, 27, 30, 33, 37
|
|
☑
2.4: |
Page: 102-114 |
Problems: 2-4, 10, 13, 15,
18 |
|
☑
2.5: |
Page: 114-124 |
Problems: 1-5 |
|
☑
2.6: |
Page: 125-137 |
Problems: 1-3,
7-9 |
|
☑
R2: |
Page: 137-140 |
Problems: 1, 4-7, 9, 11, 14, 21, 28, 29, 32,
33 |
|
Week
5-6 (Feb
15, 22) Orthogonality – Chapter
3 | ||
|
SECTIONS | ||
|
☑
3.1: |
Page:
141-152 |
Problems: 1-6, 8-10, 12,
14 |
|
☑
3.2: |
Page:
152-160 |
Problems: 3-5, 7, 8,
11 |
|
☑
3.3: |
Page:
160-174 |
Problems: 1, 3, 7, 12, 13,
17 |
|
☑
3.4:
|
Page:
174-188 |
Problems: 1-6, 8, 13, 16, 17
|
|
☑
R3:
|
Page:
198-200 |
Problems: 1, 3, 4, 14, 20, 28,
33 |
|
Week
7 (Mar
1) Determinants – Chapter
4 | ||
|
SECTIONS | ||
|
☑
4.1: |
Page:
201-203 |
|
|
☑
4.2: |
Page:
203-210 |
Problems: 1, 4, 7, 10, 12, 13,
16-18 |
|
☑
4.3: |
Page:
210-220 |
Problems: 1, 2, 17,
20 |
|
☑
4.4: |
Page:
220-229 |
Problems: 2, 3, 5, 6, 9,
10 |
|
☑
R4: |
Page:
230-231 |
Problems: 1, 2, 6, 11,
15 |
|
Week
8 (Mar
8) | ||
|
Review and
midterm | ||
|
◄
mARCH
8, 2007: Midterm
EXAM
► | ||
|
Week
9 (Mar
12-16) | ||
|
SPRING
RECESS: March 12-16,
2007 | ||
|
Week
10-11 (Mar
22, 29) | ||
|
MARCH
26, 2007: LAST DAY TO
WITHDRAW FROM THIS COURSE | ||
|
Eigenvalues and Eigenvectors – Chapter
5 | ||
|
SECTIONS | ||
|
☑
5.1: |
Page: 233-244 |
Problems: 1, 2, 5, 7, 8, 10,
14 |
|
☑
5.2: |
Page: 245-254 |
Problems: 1-3, 5-8, 10,
13 |
|
☑
5.3: |
Page: 254-266 |
Problems: 3, 8, 9,
12 |
|
☑
5.4: |
Page: 266-280 |
Problems: 1-3, 8-10, 15,
20 |
|
☑
5.5: |
Page: 280-292 |
Problems: 1-2, 6-8, 11,
20-22 |
|
☑
5.6: |
Page: 293-306 |
Problems: 1, 2, 5, 8, 13, 16,
25 |
|
☑
R5: |
Page: 307-309 |
Problems: 1, 3, 8,
20 |
|
Week
12-13 (April
5, 12) Positive Definite Matrices – Chapter
6 | ||
|
SECTIONS | ||
|
☑
6.1: |
Page: 311-317 |
Problems: 1, 2, 4, 5, 7,
9 |
|
☑
6.2: |
Page: 318-330 |
Problems: 2, 4-6, 8,
10-14 |
|
☑
6.3: |
Page: 331-338 |
Problems: 1, 3, 15,
17 |
|
Week
14 (April
19) Computations with Matrices – Chapter
7 | ||
|
SECTIONS | ||
|
☑
7.1: |
Page: 351-357 |
|
|
☑
7.2: |
Page: 357-359 |
Problems: 1, 4,
11 |
|
☑
7.3: |
Page: 359-367 |
Problems: 1, 7, 9,
11 |
|
☑
7.4: |
Page: 367-375 |
Problems: 1, 2,
7 |
|
Week
15 (April
26) | ||
|
Review FOR FINAL
EXAM | ||
|
FINAL
EXAM WEEK: May
3-9, 2007 | ||
Prepared By: Prof. Victor
Matveev
Last
revised: January 2,
2007
|
January
15 |
M |
MLK Day
– No Classes Scheduled |
|
March
26 |
M |
Last
Day to Withdraw from Classes |
|
April
6 |
F |
Good Friday – No Classes Scheduled |
|
May
1 |
T |
Classes Follow a Friday
Schedule |