MATH 211 - Introduction to Linear Algebra

Fall 2023, Stonybrook, Undergraduate Level. 

Class Meetings: Monday and Wednesday, 4:00 pm - 5:20 pm, Earth & Space 069

Instructor: Donghao Wang

Email: donghao.wang233333@stonybrook.edu (remove all numbers)

Office Hours:  1. Monday & Friday, 1: 00 pm - 2: 00 pm  at Simons Center for Geometry and Physics, Room 310

                                 2. (MLC) Monday 6: 00 pm - 7: 00 pm online via zoom.       

                                 3. By appointments (just send me an email)

Textbook:  Linear Algebra with applications, by Otto Bretscher. 

Grader: Miao Song, miao.song@stonybrook.edu

Course syllabus can be found here.

Tentative Schedule, Suggested Readings and Lecture Notes: 

1. M 8/28 (Notes): Section 1.1, Linear Systems

2. W 8/30 (Notes):  Section 1.2, Gauss-Jordan Elimination

***M 9/4 (Labor Day)

3. W 9/6 (Notes):  Section 1.3 , Reduced Row Echelon Form and Rank

4. M 9/11 (Notes): Section 2.1, Linear Transformation and Matrix Algebra (HW1 Due)

5. W 9/13 (Notes): Section 2.1 Continued.

6. M 9/18 (Notes): Section 2.2, Linear Transformation from Geometry (HW2 Due)

7. W 9/20 (Notes): Section 2.3, Matrix Product

8. M 9/25 (Notes): Section 2.4, Matrix Inverse (HW3 Due)

9. W 9/27 (Notes): Section 3.1, Linear Subspaces, Image and Kernel

10. M 10/2 (Notes): Review Session for Midterm I (HW4 Due) (Practice Midterm)(Solution)

11. W 10/4: Midterm I

***M 10/9 (Fall Break)

12. W 10/11 (Notes): Section 3.2, Linear Independence and Bases

13. M 10/16 (Notes): Section 3.3, Finding Bases  (HW5 Due)

14. W 10/18 (Notes):  Section 3.4, Coordinates

15. M 10/23 (Notes): Section 5.1, Orthonormal Bases and Orthogonal Matrix (HW6 Due)

16. W 10/25 (Notes): Section 5.3, Orthogonal Projection

17. M 10/30 (Notes): Section 5.2, Gram-Schmidt Process (HW7 Due)

18. W 11/1 (Notes): Section 5.4, Least Square and Data Fitting

19. M 11/6 (Notes): Review Session for Midterm II (HW8 Due) (Practice Midterm II)(Solution)

20. W 11/8: Midterm II (Solution)

21. M 11/13 (Notes): Section 6.3, The Geometry of Determinants (No HW due because of Midterm II)

22. W 11/15 (Notes): Section 6.2, Properties of Determinants

23. M 11/20 (Notes): Section 6.1, The Algebraic Formula of Determinants (HW9 Due)

***W 11/22 (Thanksgiving Break)

24. M 11/27 (Notes): Section 7.1 (HW10 Due)

25. W 11/29 (Notes): Section 7.2 

26. M 12/4 (Notes): Section 7.3 (HW11 Due)

27. W 12/6 (Notes): Section 4.1 

28. M 12/11 (Notes): Review Session for Final (HW12 Due)(Practice Final)(Solution)

***Final: Tuesday 12/12, 2:15 pm - 5:00 pm. Location: Engineering 145.