MANHATTAN COLLEGE - DEPARTMENT OF MATHEMATICS
MATH 471 LINEAR ALGEBRA II FALL 2016
Dr. Kathryn Weld OFFICE: RLC 201 I
PHONE: (718) 862-7251 email: kathryn.weld@ manhattan.edu
OFFICE HOURS: M,R 3:00-4:00, W: 4-5 PM, and by appointment.
TEXT: David C. Lay, Linear Algebra and Its Applications (4th/e), Pearson. + MyMathLab
Catalog Course Description:
A continuation of the topics introduced in MATH 241 with emphasis on orthogonality, inner product spaces, eigenvalues and eigenvectors, diagonalization, quadratic forms, and numerical linear algebra. Fall. Prerequisite: MATH 272.
Understanding of eigenvalues, eigenvectors and diagonalization
Vector Spaces and Linear Transformations
Inner Products, the Gram-Schmidt Process
Diagonalizations of symmetric matrices
Quadratic Forms, constrained optimization
The Singular Value Decomposition
TOPICS TO BE COVERED:
Coordinate Systems and Change of Basis,
Applications to Difference Equations,
Review of Eigenvectors and Eigenvalues, the Characteristic Equation
Eigenvectors and Linear Transformations
Discrete Dynamical Systems and differential equations
6.1: Inner Product, Length, and Orthogonality
6.2: Orthogonal Sets
6.3: Othogonal Projections
6.4: The Gram-Schmidt Process
6.7: Inner Product Spaces (as time permits)
7.1: Diagonalization of Symmetric Matrices
7.2: Quadratic Forms
7.3: Constrained Optimization
7.4: The Singular Value Decomposition
8.1: Affine Combinations
8.2: Affine Independence
10.1: Introduction and Examples
10.2: Steady-state Vector and Google's Page Rank
Other topics: dual spaces, etc., as times permits
Tentative Exam Schedule
Final Exam: During Exam Period
Grading: Written homework 16%
Mid term exams 57% (19% each)
Final 22 %
Class Participation 5%
Fall 2016 Important Dates
Monday - August 29 - Classes Begin
Friday - September 2 - Late Registration and Add/Drop Ends
Monday - September 5 - Labor Day - College Closed
Monday - October 10 - Columbus Day - College Closed
Tuesday - October 11 - Monday Schedule – WE WILL NOT HAVE CLASS
Monday - October 17 - Mid-Term Grades Due
Monday - November 1 - Spring 2016 Web Registration Begins
Friday - November 18 - Last Day to Withdraw from a Fall 2015 Course
Wednesday, November 23 - Friday, November 25 - Thanksgiving Holiday - No Classes
Friday - December 9 - Last Day of Classes
Monday - Saturday - December 12 - 17 - Final Exam Period
Make-up exams: Barring a documented emergency, or an athletic or academic commitment, there will be no make up exams. You must notify me ahead of time, except in the case of an emergency.
Class participation: You will be expected to attend and participate in class: ask questions on current homework, volunteer answers, work with other students, come for help when you need it, etc.
Special Accommodations: Please let me know if you need untimed tests, a note taker, or other support by the end of the second week at the very latest. These accommodations must be documented at the Specialized Resource Center, Miguel 301B.
Calculators: A graphing calculator is not required for successful completion of this course. You will be allowed to use a graphing calculator without CAS: TI-89 and TI-92 are not allowed on tests. Memory must be cleared before the exam. No devices that connect with the internet are allowed on the exam.
Academic Integrity: Cheating is not allowed and will be reported. Unless otherwise indicated, all tests, quizzes, labs, and graded homework should be done by each individual. Please see :http://manhattan.edu/community-standards-and_student-code-conduct
email, moodle: Assignments, announcements, etc. will appear on moodle and, email will be sent to the address listed on moodle.
Attendance: Attendance is mandatory. Four or more unexcused absences must be reported to the dean of your school. If you are late, please notify the teacher at the end of the class.
- Teacher: Weld Kathryn