CAAM 335 · Matrix Analysis

LECTURES:

CAAM 335-001 (CRN 10055): MWF 2:00-2:50pm, Duncan Hall 1064. 

INSTRUCTOR:

TEACHING
ASSISTANT:

Yuchen (Frank) Yang (yuchen.yang@rice.edu).  Office Hours: Tuesdays 7:00PM-7:50PM, DCH 1044. On 10/1/19 only, Yuchen’s office hours will be held in DCH 1049. He will also lead the recitations.

RECITATIONS:

Mondays 7:00-8:30pm, room: DCH 1064. On 9/16, recitation will meet in HRZ 210. (Recitations start the third week of classes, since Monday September 2nd is a University Holiday)


COURSE OBJECTIVES:

Students should learn how to characterize the solution of systems of linear equations and linear least squares problems, apply basic solution techniques to linear problems involving electrical circuits and planar trusses, compute the eigendecompsition of matrices and apply it to solve linear dynamical systems, and compute the singular value decomposition and apply it to data compression and linear least squares problems.

OUTCOMES:

Apply the Fundamental Theorem of Linear Algebra to characterize solutions of linear systems.
Solve linear systems and linear least squares problems, and apply these techniques to problems involving electrical circuits and planar trusses.
Compute eigenvalues and eigenvectors of matrices.
Apply the eigendecomposition to solve linear dynamical systems.
Compute the singular value decomposition and it apply it to solve linear least squares problems.

PREREQUISITES:

MATH 212 and CAAM 210. Less formally: you should be familiar with multivariable calculus and elementary matrix manipulations (matrix addition and multiplication, Gaussian elimination), and be able to write MATLAB programs.

GRADING:

40% problem sets, 60% exams (Class participation and improving performance on the exams will be considered when assigning borderline grades.)

HOMEWORKS:

Homeworks will be assigned roughly once a week. Typically a homework assignment is due one week after it has been posted. Unless otherwise stated, you may collaborate with other students, but you must write up your solutions separately. Transcribed solutions are unacceptable. You may not consult solutions from previous sections of this class.

Homeworks will be assigned via the CANVAS course site. Visit the CANVAS course site and this course web-page regularly. The lowest homework grade will be dropped.

EXAMS:

There are three exams. Each exam will each account for 20\% of the final grade. The first two exams are take-home, timed, closed-book exams. The final exam is scheduled. Room and time for the 3rd exam will be determined by the Registrar's office later this semester.
Each exam must be your individual, unassisted effort; indicate compliance by writing out in full and signing the traditional pledge.

LATE POLICY:

Homeworks and exams must be turned in on time.

RECQUIRED
READING

Linear Algebra in Situ by Steven Cox. Available as a course pack from the campus store. Chapter 1 of Linear Algebra in Situ is available online.
Additional notes will be posted on the CANVAS course site.

SYLLABUS:

pdf

RECOMMENDED
READING

Carl Meyer, Applied Matrix Analysis and Linear Algebra
Gilbert Strang, Linear Algebra and Its Applications
Gilbert Strang, Introduction to Applied Mathematics
J. W. Brown and R. V. Churchill Complex Variables and Applicatons, McGraw-Hill.

Daniel Solow, How to Read and do Proofs, Wiley.

MATLAB:

D. J. Higham and N. J. Higham, MATLAB Guide, 2nd ed.
Getting Started with MATLAB from MathWorks