Course Description and Grading BreakdownMath 1b is a one term course on linear algebra over the real and complex numbers. Vector spaces are defined 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. Grading will be based roughly on 40% homework, 40% final, and 20% biweekly quizzes. Course Meeting Time and LocationMonday, Wednesday and Friday 10:00 - 10:55 am B122 Gates Chemical Laboratory (GCL, Building 26) Course Instructor Contact Information and Office Hours211 Math Building (Building 15) Office Hour: 12PM Fridays TA Contact Information and Office Hours
Course Schedule and TextbookThe main textbook for the course will be Tom Apostol's Calculus, Vol. II, 2nd edition, and the material we will cover corresponds fairly closely to Chapters 1-5 in it. However, it is not strictly necessary to buy this book for the course. There exist many free online texts covering most of the material, such as Linear Algebra Done Wrong which would be fine as reference material. Course PoliciesStudents 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. ## RecitationsGo 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 try to use them to fill in all the holes in your understanding of the subject. Assignments
QuizzesQuizzes are timed. Don't open until you're ready to start. Lecture NotesThese are some brief and rough notes of the material covered in the lectures. I don't recommend them for learning the material, but just as a guide to what has been done. In particular, many (most?) proofs will probably be omitted. I'll try to update these after each lecture to keep up with where we are, but in the interest of space, I'll have one file per week. Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |