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MA51100 - Linear Algebra with Applications

Spring 2016

Days/Time: TBA / TBA
Credit Hours: 3

Learning Objective:
Techniques associated with matrix theory and vector space arguments.

Description:
Basic vector space theory; linear transformations; topics in matrix theory such as QR and LU factorization, eigenvalues, and quadratic forms.

Topics Covered:
Linear spaces; linear systems; matrices; Gauss elimination; LU and PLU factorization; linear transformations; orthogonality; QR factorization; inner products, least squares and projections; determinants; eigenvalues and eigenvectors; condition number and ill conditioning; spectral theorems; quadratic forms, singular value decomposition and pseudo inverse of a matrix.

Prerequisites:
An undergraduate course in linear algebra and differential equations.

Applied/Theory: 0/100

Web Address:
www.math.purdue.edu/~agabriel/MA511/511F12syl.html

Web Content:
In addition to the course website, syllabus and homework assignments will be available via Blackboard.

Homework:
Weekly assignments - 100 pts. Accepted vie email as PDF file to TA or via regular mail to attn of TA.

Projects:
None.

Exams:
Two midterm exams (100 pts each) and one final exam (150 pts).

Textbooks:
Required--Gilbert Strang, "Linear Algebra and its Applications," 4th ed., Brooks/Cole, 2006, ISBN 0030105676. The course content will be the material presented in the lectures. The text will serve mainly as a source for supplementary reading and as a source of exercises. Please note that the International Edition of the book does not match up to the homework numbers in the syllabus. Disclaimer: final textbook listings are available in April for fall and summer semesters. Please visit the Listing of Textbooks by College or School for the most up-to-date information.

Computer Requirements:
ProEd minimum computer requirements.

ProEd Minimum Requirements:
view

Tuition & Fees: view

Other Requirements:
None.

Andrei Gabrielov
Phone
765-494-7911
Email
agabriel@math.purdue.edu
Office
Purdue University
Department of Mathematics
150 N University St
West Lafayette, IN 47907-2067
Fax
765-494-0548
Instructor HomePage