· Syllabus for MA 305, Fall 2006

· Linear Algebra

NOTICE: Practice Final is available at this page à http://www.math.ncsu.edu/~jing/305f-fa03.pdf

1. Instructor: Dr. N. Jing
       Office: HA 234 Office Hours:  TH 2:00--3:00

TA Office Hours (TBA): Monday 10-12 in 2806 Hillsborough, Sahar Karmi, skarimi at ncsu.edu, 

     Lecture Hours: TH, 3:00-4:15 Classroom: HA 307
       Phone Number: 513-3584 . nathanjing at hotmail dot com

2. Textbook:
     Elementary Linear Algebra, by Richard Hill, Harcourt, 1996.

3. Schedule of exams:
Three hourly in-class tests and a quiz: 1) T 9/21;  2) T 10/19;  3) H 11/9; 4) Q 11/30

Final exam: Tuesday, December 19, 1-4 pm

4. Grading Policy:
         Attendance: 5%, Quiz: 10 %
         Tests: 55%
         Final Exam: 30%

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.

Practice Final See Above!

Sample Tests:
Test 1 (2005), Test 2 (2005), Test 3 (2005), Test 4 (2005), Final (2005).

Actual Tests:
Test 1 (2006) solution, Test 2(2006) solution, Test 3 (2006), Quiz (2006).

Further Information:

NCSU Academic Regulations can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/ (link)