MTH197 Syllabus F20 (Linear Algebra) PDF

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Fall 2020 Syllabus - Larry David...

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____________ Course Syllabus MTH 197 Linear Algebra Instructor: Larry David Phone: 734-477-8700 Email: [email protected] Office: LA 200C Office Hours: Mon. - Thurs. 2pm - 3pm; Wed 6pm - 7pm

Course Overview This is a first course in linear algebra. Topics include: • • • • • • • • • • • • •

Systems of Linear Equations, Vector Equations, Matrix Equations Matrix Algebra, Matrix Partitions and Factorizations Determinants Matrix Inverses, Invertible Matrix Theorem Vector Spaces, Subspaces Linear Independence, Bases, Dimension Null and Column Spaces, Rank, Nullity Linear Transformations on Vector Spaces, Kernel, Range Injective, Surjective, Bijective Mappings; Isomorphism Eigenvalues and Eigenpsaces, Diagonalization Inner Product Spaces, Orthogonal Matrices, Gram-Schmidt Orthogonalization Least-Squares Approximation Diagonalization of Symmetric Matrices

Course Objectives Upon successful completion of this course, you will be able to: • • • • • •

Solve systems of linear equations Compute determinants and inverses of matrices Apply the fundamental theorems of linear transformations on vector spaces Apply the basic theorems of inner product spaces Compute eigenvalues and eigenvectors and use them in applications Calculate the least-squares solution to a system of linear equations

Required Materials Textbook: A First Course in Linear Algebra, by Robert Beezer. This a free, Open Educational Resource (OER) textook, available here: http://linear.ups.edu/html/fcla.html

Technical Requirements The following are required for successful completion of the course: • Reliable internet access. • A computer or other device that can run a web browser like Chrome, Safari, or Firefox. Smartphones will work but students will have a much better user experience on a tablet, or better yet, a laptop or desktop computer with a larger screen than a smartphone.

Technical Help If you have technical trouble with Blackboard, contact the Help Desk by calling 734-973-3456, or by emailing [email protected].

Time Commitment To meet the due dates on the schedule, expect to spend 8 to 12 hours per week for this 4 credit course during a 15 week semester, 10 to 14 hours during a 12 week semester, and 11 to 16 hours during a 10 week semester. Some students will probably need to spend longer, and a few might not need to spend as much.

Grading •

Grades are posted in Blackboard under My Grades.

•

Grading is typically completed within a week of the assignment due date.

Determining Your Grade Your grade in the course will be based on 13 quizzes, 2 midterm exams, and a final exam. Quizzes will be worth 10 points each, and exams will be worth 100 points each. Graded Items

Points Each

Points Total

Percentage of Final Grade

13 Quizzes

10

130

30%

3 Exams

100

300

70%

430

100%

Total

Grading Scale A

93 – 100%

B

83 – 86%

C

73 – 76%

D

63 – 66%

A-

90 – 92%

B-

80 – 82%

C-

70 – 72%

D-

60 – 62%

B+

87 – 89%

C+

77 – 79%

D+

67 – 69%

F

59% and below

Due Dates for Exams and Quizzes All quizzes and exams in the course will be due by 11:59 pm on the due dates listed on the course schedule. They will become unavailable after 11:59 pm on the due date.

Makeup Exams and Quizzes Makeup exams will only be given in extraordinary circumstances at the instructor’s discretion. No makeup quizzes will be given, but the lowest quiz score will be dropped to allow for unexpected time conflicts.

Communication Email Communication •

Please send emails from your WCC account to be in compliance with federal privacy regulations.

•

Put the course number and section number in the subject line. Always include your first and last name in the email message.

•

Watch the Announcements area on Bb, which is where your instructor will post important information for the class.

Expectations and Availability of Instructor I will usually respond to email within 24 hours. You should make a habit of checking your WCC email on a regular basis as well. Review the material within the Washtenaw Community College Student Policies and Support Information for additional policies and procedures that affect you and your course. Find this information under the Syllabus & Schedule area of this course site....