Linear Algebra with Applications
Basic vector space theory; linear transformations; topics in matrix theory such as QR and LU factorization, eigenvalues, and quadratic forms.
MA51100
Credit Hours:
3Learning 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; linear systems of differential equations.Prerequisites:
An undergraduate course in linear algebra and differential equations.Applied / Theory:
0/ 100Web Address:
mycourses.purdue.edu piazza.com/purdue/summer2019/math511Web 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.