Math 1b Analytic
Linear Algebra
Winter 2014 - 15
MWF 10:00 AM // 22 Gates
Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

Instructor: Elena Mantovan, 262 Sloan, 626-395-4342,, Office Hours: Fri 2:30-3:30
Lead TA: Brian Hwang 158 Sloan, 626-395-4373
Course Secretary: Kathy Carreon, 253 Sloan, 626-395-4335,

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Homeworks are due on MONDAYs at 1AM


Students switching tracks before Add Day may choose to have their HW sets 1 & 2 grades "transferred" in place of submitting past sets.


Midterm will be handed out in class on WEDNESDAY 2/4.

Please hand in midterms in the MA 1b Analytic HW slot outside Sloan 255.


Final will be handed out in class on WEDNESDAY 3/11.

Please hand in finals in the MA 1b Analytic HW slot outside Sloan 255.

Students who are excused from the final will be notified via email by Thursday 3/12


Section 8 - Lei Fu

Office Hours: Sunday 3pm, 353 Sloan

9:00 AM, Thursday

11 Downs

Section 9 - William Chan

Office Hours: Saturday 5pm, 160 Sloan

10:00 AM, Thursday

27 Gates


Section 10 - Peter Burton

Office Hours: Saturday 6pm, 156 Sloan

10:00 AM, Thursday

142 Keck


Section 11 - Brian Hwang Lead TA

Office Hours: Sunday 4pm, 158 Sloan

1:00 PM, Thursday

102 Steele


Section 12 - Brian Hwang Lead TA

Office Hours: Sunday 4pm, 158 Sloan

2:00 PM, Thursday

102 Steele


Course Description

Math 1b is a one term course on linear algebra over the real and complex numbers. Vector spaces are de ned axiomatically and proofs are supplied for most results. Topics include: vector spaces and inner product spaces; subspaces, dimension, and bases; linear transformations; systems of linear equations; matrices; determinants; eigenvalues and eigenvectors; the characteristic polynomial; symmetric, hermitian,and unitary matrices and transformations.


GRADES: Roughly 1/3 Homework, 1/3 Midterm, and 1/3 Final.
Those with high scores on the homework and midterm will be excused from the final.

HOMEWORK POLICY: Students may work together on homework problems as long as each student writes up their own homework in their own words and understands the solution.

At most one late homework set will be accepted, and only at your TA's discretion, if arrangements have been made in advance with your TA, and if the work is less than a week late.  Other than in exceptional circumstances, homework will not be accepted more than a week after the deadline.

Many of the problems which will be assigned this year in Math 1b, also were assigned in previous years in Math 1b.

Do not consult the solution sets from previous years in working this years problems.


Go to the recitations! Some weeks, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the Instructor will not have time to present in class. In general, get to know your TA and bug him/her to death (figuratively speaking) with your questions, and try to fill in all the holes in your understanding of the subject.


Apostol, Vol. II, 2nd Ed., John Wiley, 1967, ISBN: 0-471-00007-8.

Class lectures will sometimes cover slightly different material or cover material from a different point of view.  In particular, exams and homework will sometimes involve material covered in lectures but not in Apostol.

Lecture Notes

Date Description

Class syllabus (to be updated weekly, on Wednesday)



Midterm Review Sheet

Final Review Sheet


Due Date Homework  Solutions

Tue 1/20/15



Midterm (handed out in class on 2/4)

Tue 2/17/15





 Last update: January 7, 2015| © California Institute of Technology | Questions?