Annoucements

Homework

Quizzes

Also take a look at the quizzes for MATH 54, Spring 2006.

Exams

Time and Place

Monday through Friday, 2:10 to 4:00 PM, in 75 Evans Hall. The class runs from Monday, June 16 to Friday, August 18. There is only one holiday during this time: Tuesday, July 4.

Enrollment

See TeleBears. You must sign up for both section 6 (CCN: 61255) and section 601 (CCN: 61260).

Office Hours

Instructor's Contact Information

Course Information

Textbooks

Prerequisites

MATH 1B or equivalent. In particular, you should be familiar with techniques of integration such as substitution and integration by parts, Taylor series, and solving second-order linear homogeneous differential equations with constant coefficients. Topics from high school mathematics that you may want to review include row reduction of matrices, solving systems of linear equations, determinants, and the factorization of polynomials in one variable, up to degree 4. Topics from MATH 1A that you may want to review include odd and even functions; basic properties of continuity, differentiation, and integration; and the Fundamental Theorem of Calculus. Some prior knowledge of the complex numbers is also helpful. If you've taken MATH 53 before, it may help to review the dot product and its basic properties.

Important Dates

Event Date
Last day to cancel registration Friday, June 23
First day of class Monday, June 26
Last day to withdraw or drop with refund Friday, June 30
Independence Day (no class) Tuesday, July 4
Last day to register for MATH 54 Friday, July 7
First midterm exam Friday, July 14
Second midterm exam Tuesday, August 1
Last day to withdraw, drop, or change grading option Friday, August 4
Final exam Friday, August 18

Schedule

Week of Monday Tuesday Wednesday Thursday Friday
June 26 complex numbers; linear equations; Gaussian elimination; lecture notes 1 matrix arithmetic; elementary matrices; matrix inverses; lecture notes 2 transposes and symmetric matrices; examples; lecture notes 3; Quiz 1 introduction to vector spaces; linear combinations; lecture notes 4 abstract vector spaces; lecture notes 5; Quiz 2
July 3 subspaces; null spaces; linear combination problems; lecture notes 6 Holiday linear independence; introduction to bases; lecture notes 7; Quiz 3 bases and dimension; introduction to rank rank; change of basis; Quiz 4
July 10 linear transformations; intro to inner product spaces; lecture notes 8 inner product spaces; Quiz 5 Problems; Pop quiz 1 Review Midterm 1
July 17 projections; Gram-Schmidt Cauchy-Schwarz; adjoint matrices; least squares; lecture notes 9 orthogonal matrices; more least squares; introduction to similarity of matrices; lecture notes 10; Quiz 6 similarity of matrices; determinants; lecture notes 11 eigenvalues and eigenvectors; lecture notes 12; Quiz 7
July 24 diagonalization; Spectral Theorem; lecture notes 13 linear recurrence relations Quiz 8 Jordan canonical form; lecture notes 14 Review/Problems
July 31 Review Midterm 2 Euler's Formula; intro to differential equations; lecture notes 15 existence and uniqueness; the Wronskian; lecture notes 16 Abel's Theorem; systems of linear first-order differential equations; lecture notes 17; Quiz 9
August 7 matrix exponentiation; lecture notes 18 more on Euler's Formula; fundamental sets of solutions; sources, sinks, etc.; lecture notes 19 Quiz 10 more systems of differential equations with complex eigenvalues; eigenvalues and eigenfunctions of boundary value problems Fourier series; Quiz 11
August 14 solving PDEs using separation of variables nonhomogeneous PDEs; Quiz 12 wave equation Review Final exam

Grading

The breakdown of points in the class will be as follows:

There will be a curve, but that curve will be no harsher than 90 for A-, 80 for B-, 70 for C-, and 60 for D-. That is, if your overall score at the end of the class is 90% or higher, then your grade will be at least an A-, it will be at least a B- if your score is 80% or higher, and so on.

Your two lowest homework scores and three lowest quiz scores will be dropped. Homework will generally be due on each quiz day. Late homework will not be accepted, and there will be no makeup quizzes.