Linear Algebra with Applications - MA51100
Basic vector space theory; linear transformations; topics in matrix theory such as QR and LU factorization, eigenvalues, and quadratic forms.
Credit Hours: 3
Instructor(s): Ralph Kaufmann
Email: rkaufman@purdue.edu
Office: 722
Web: Instructor Homepage
Learning Objective:
Techniques associated with matrix theory and vector space arguments.
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; linear systems of differential equations.
Prerequisites:
An undergraduate course in linear algebra and differential equations.
Applied / Theory:
0/ 100
Web Address:
mycourses.purdue.edu piazza.com/purdue/summer2019/math511
Web Content:
Syllabus, grades, lecture notes, homework assignments.
Homework:
Weekly assignments (worth 25% of final grade).
Projects:
Worth 10% of final grade.
Exams:
One midterm exam (25% of final grade) and one final exam (40% of the final grade)
Textbooks:
Required: *Tentative*: Gilbert Strang, Linear Alg and Its Applications, ISBN-10: 0030105676 | ISBN-13: 9780030105678 | Edition: 4th.
Other Requirements:
MATLAB or Linear Algebra Software