· Syllabus for MA 305, Fall 2009
· Linear Algebra
1.
Instructor: Dr. N. Jing
Office: SAS 3142
Office Hours: TH 3:00--4:00
TA Office Hours (TBA): Monday Wednesday 9-10, Lounge
202, dan, dmmaronc@ncsu.edu
Help is also available
in the Tutorial Help Center on the first floor of SAS
Lecture
Hours: TH, 8:30-9:30 Classroom:
RD 321
Phone
Number: 513-3584 .
2. Textbook:
Elementary
Linear
Algebra, by Richard Hill,
Harcourt,
1996.
3. Scheduled exams/quizzes:
There are scheduled exames and quizzes plus ad hoc quizzes during the
course.
Three scheduled hourly in-class tests and
1-2 quizzes:
1) H 9/10; 2) H 10/1; 3)
H 10/22; 4) H 11/22
Final exam: Tuesday, December 15, 8-11 am
4. Grading Policy:
Attendance/Quiz 5%
Tests: 60% Final Exam: 35%
5. Tutorial Service:
N/A
6. Topics and estimated days allocated to each topics and Homework Assignment :
1.1-1.6 Introduction, Linear equations, matrices, Gauss Eliminations
2.1-2.2 Determinants
2.3-2.5 Cramer's rule, applications
3.1-3.2 Vector spaces in 2, 3, n-dimensions
3.4-3.6 Subspaces, linear dependence, rank
3.7-3.8 Rank, coordinates and bases
4.1-4.6 Linear transformations, inner products, least Squares, Gram-Schmidt process
4.7 Similarity
5.2-5.4 Eigenvalues and eigenvectors, diagnolization
5.5 Application-Fibonacci sequences
5.6 Application-Differential Equations
Homework Assignment:
1.1: 29, 1.2:7,11,21,27.
1.3:7,9,21,25.
1.4:9,11,15,29,35. 1.5: 1, 3, 5, 11, 13, 17, 27.
2.1: 7,11,13,15,23. 2.2: 11, 17, 15. 2.3: 13,
17, 25, 34. 2.4:
9, 13, 17,25, 29, 31.
3.1: 3, 9, 16, 21. 3.2: 15, 18, 21, 27. 3.4: 3,
13, 21,
25, 33, 37, 43, 45. 3.5: 2, 4, 9, 13, 15, 19, 25, 27. 3.6:
1, 3, 9, 13, 15, 19, 25, 27, 35.
3.7: 3, 7, 13, 15, 17, 23. 3.8: 17, 19, 25
4.1: 7, 11, 13, 15, 19, 21, 27, 35. 4.2: 3, 25. 4.3:
3, 7,
11, 17, 23. 4.4: 3, 7, 11, 19, 21, 23. 4.5: 1, 5, 9,
13, 17. 4.7:
1, 3, 13, 25.
5.1: 15, 27, 29, 33, 35, 37. 5.2: 8, 11, 13, 17, 19, 34.
5.3:
3, 7, 9, 13, 17, 19, 21, 23.
5.4: 3, 9, 15, 19. 5.6: 1, 3, 7, 11.
Sample Tests:
Test
1 (2005), Test
2
(2005), Test 3
(2005), Test
4 (2005), Final
(2005).
More Sample Tests:
Test
1 (2006) solution,
Test
2(2006) solution,
Test
3 (2006), Quiz (2006).
Attendance and H1N1: If you are
ill with symptoms of H1N1 influenza, please do not come to class.
Instead, immediately contact your medical providers or Student Health
Services (515-7107) for advice
or to arrange an appointment.