- Grades are now available on Telebears.
- Final exams can be viewed in 970 Evans.
- Homework 1, due 6/28.
- Homework 2, due 6/30.
- Homework 3, due 7/6.
- Homework 4, due 7/7.
- Homework 5, due 7/11.
- Homework 6, due 7/14.
- Homework 7, due 7/19.
- Homework 8, due 7/21.
- Homework 9, due 7/27.
- Homework 10, due 8/2.
- Homework 11, due 8/4.
- Homework 12, due 8/8.
- Homework 13, due 8/11.
- Homework 14, due 8/15.
- Homework 15. This assignment will not be collected or graded.
- Quiz 1 and solutions
- Quiz 2 and solutions
- Quiz 3 and solutions
- Quiz 4 and solutions
- Quiz 5 and solutions
- Pop quiz 1 and solutions
- Quiz 6 and solutions
- Quiz 7 and solutions
- Quiz 8 and solutions
- Quiz 9 and solutions
- Quiz 10 and solutions
- Quiz 11
- Quiz 12 and solutions
Also take a look at the quizzes for MATH 54, Spring 2006.
- Midterm 1
- Midterm 2
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.
See TeleBears. You must sign up for both section 6 (CCN: 61255) and section 601 (CCN: 61260).
- Monday 4:10-5:00
- Thursday 4:10-5:00
- Friday 10:30-11:30
Instructor's Contact Information
- Name: Edward Carter
- Email: email@example.com
- Office: 1085 Evans Hall
- Course web page: http://math.berkeley.edu/~ecarter/Summer06/54/
- Hill, Elementary Linear Algebra, UC Berkeley Edition.
- Boyce-DiPrima , Elementary Differential Equations and Boundary Value Problems, UC Berkeley Edition.
- Boyce-DiPrima , Elementary Differential Equations, Supplementary Material for Math 54, UC Berkeley Edition.
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.
|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|
|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|
The breakdown of points in the class will be as follows:
- 10% Homework
- 10% Quizzes
- 20% Midterm 1
- 20% Midterm 2
- 40% Final Exam
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.