CAAM 335 · Matrix Analysis

Spring 2018 · Rice University


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LECTURES:
Chan: MWF 2:00-2:50pm, HRZ 210.
Chaabane: MWF 9:00-9:50pm, DH 1064.
Joshi: MWF 9:00-9:50pm, DH 1075.
OFFICE HOURS:
Office hours are held at the instructors' office unless specified otherwise.
Monday: Chaabane 1:00-2:00pm, Liu (TA) 4:00-5:00pm.
Tuesday: Chaabane 1:00-2:00pm, Joshi 2:00-3:00pm (in DH 3110).
Wednesday: Chan 3:00-4:00pm
Thursday: Joshi 1:00-2:00pm (in DH 3110), Liu (TA) 2:00-3:00pm
Friday: Chan 3:00-4:00pm
INSTRUCTORS:
Jesse Chan (jesse.chan at rice.edu), Duncan Hall 3023, (713)-348-6113.
Nabil Chaabane (nabil.chaabane at rice.edu), Duncan Hall 2001.
Babhru Joshi (babhru.joshi at rice.edu), Duncan Hall 2118.
TEACHING ASSISTANT: Chen Liu (chen.liu at rice.edu), Duncan Hall 2104
RECITATIONS: Monday 7-8:30pm, Duncan Hall 1064.
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.

Most 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.
REQUIRED
READING
Linear Algebra in Situ (Spring 2018 Edition) by Steven Cox. Available as a course pack from the campus store. Chapter 1 of Linear Algebra in Situ is available online.
The supplementary notes may also be helpful. Additional notes will be posted on the lectures section of this 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
Lars Ahlfors, Complex Analysis, McGraw-Hill
J. W. Brown and R. V. Churchill Complex Variables and Applicatons, McGraw-Hill.
MATLAB: D. J. Higham and N. J. Higham, MATLAB Guide, 2nd ed.
Getting Started with MATLAB from MathWorks


Any student with a disability requiring accommodation in this course is encouraged
to contact the instructor during the first week of class, and also to contact
Disability Support Services in the Ley Student Center.