MTH 342: Linear Algebra II
Fall 2017

Note: This syllabus is subject to change based on the needs of the class.

Instructor:

Dr. Aijun Zhang
Office: Kidder 306
Phone: 737-8394
Email: Click to email
Office Hours: MWF 13:00-13:50 pm or by Appt.

Course Information:

FINAL EXAM Details: To be Annouced later

Time/Classroom: MWRF 14:00-14:50 pm, BEXL 321

Prerequisites: MTH 341.

Standard Text:   Linear Algebra  Done Wrong by Sergei Treil

Linkhttps://www.math.brown.edu/~treil/papers/LADW/LADW.html

Course Description:

We will cover most of Chapters 1, 2, 4, 5 and parts of Chapter 6 in the text book (Chapter 3 deals with determinants, we might review these if needed). The main emphasis will be on the concepts of vector space (linear independence, subspaces, bases, inner products and orthogonality, projections and Gram-Schmidt orthogonalization), linear transformations (kernel, range, matrix of linear transformation, rank-nullity theorem, diagonalization and spectral theorem for symmetric transformations, singular value decomposition).

Learning Outcomes : After successfully completing Math 342, a student should be able to

  • Recognize and give examples of abstract (real and complex) vector spaces other than Rn.
  • Apply invariance of dimension to find a basis for a given finitely generated abstract vector space. 
  • Compute the matrix representation of a linear transformation with respect to a given basis, and perform algebra on linear transformations
  • Determine whether a given matrix is diagonalizable and determine a diagonalizing matrix.
  • Express geometric properties of vectors and sets of vectors in an inner product space using techniques such as orthogonality, projections, and the Gram-Schmidt algorithm.
  • Identify classes of matrices for which all eigenvalues are real numbers.
  • Apply projection matrices and singular value decompositions of matrices to least square fitting problems or other related problems. 

Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at http://ds.oregonstate.edu
DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.

Honor Code: Students are expected to be familiar with Oregon State University’s Statement of Expectations for Student Conduct. Please review this statement at the following web link:
http://oregonstate.edu/admin/stucon/achon.htm

Grades

Grade Distribution

Homework

30%

Midterm 1

20%

Midterm 2

20%

Final

30%

Total

100%

Grade Scale

A

93

A-

90

B+

85

B

80

C+

75

C

70

D+

65

D

60

Homework

Homework is required for this course. Assignments will be posted on canvas, and will consist (mostly) of problems from the text. Exam problems will (mostly) be similar to homework problems. There will be five homework assignments. Only problems marked with * need to be turned in for a grade. Students may work together, but must turn in individual copies.
While it may not be stated explicitly each day, students are expected to read each section to be covered. Questions not addressed during class time should be asked in office hours. Students are responsible for any material missed due to absence.

Exams

There will be two midterm exams and one cumulative final exam (with three distinct parts). There will be no makeup exams. Missed midterm grades may be replaced by the grades from one of the first two parts of the final. Scheduling conflicts with the final exam must be resolved in advance. No books, notes, phones, or graphing/programmable calculators will be allowed on exams. Scientific calculators are allowed but will not be needed.

MTH 342 Links:

Homework assinments
Canvas


Other Links: