Math 54H: Linear Algebra and Differential Equations


In this course, we will learn some of the most basic concepts in linear algebra and differential equations, two different but related subjects.

Many physical phenomena are governed by differential equations. For example, the rotation of the solar planets around the sun can be accurately described by a set of time-dependent differential equations. Linear algebra provides the basic tools necessary to solve these differential equations (most commonly) on a computer.

This information document covers the following subjects: enrollment, how to contact the staff, prerequisites, textbook, handouts and announcements, course work and grading and exam dates, grade range, homework assignments, sample tests, and academic integrity.


Enrollment is entirely done online. So if you are waitlisted, check online often to see if you can enroll. If you have questions about enrollment, please immediately contact Thomas Brown of the Math Department at


Instructor Prof. Ming Gu
Office: Evans 861
Office Hours: MWF 1:30-3:00PM or by appointment.
Phone: 642-3145
Email: mgu@math



1A and 1B or equivalent. It is important to note that calculus courses at most institutions either have no differential equations, or less than Berkeley's Math 1B. Transfer students who have taken such a course need to learn on their own that differential equations material from This should be done by approximately the week of Oct. 21. Please contact me if you have any concerns on this issue.


Our textbook is We plan to cover the book according to the Math Department Course Outline for Math 54. Please pay close attention to this outline.

Handouts and Announcements

There will be no handouts to be distributed in the class. All material is posted on the class home page at
Announcements will be made through the class website, bspace, or email.

Course Work and Grading

There are a total of 100 points you can earn toward your final grade in the course. There will be two midterm exams. The better of the two is worth 25 points and the worse 15 points. The final exam is worth 30 points. All exams will be graded by the GSI and myself. In addition to exams, there will be up to 13 homeworks and 12 quizzes. Only the best 10 homeworks and best 10 quizzes will be counted towards the final grade, with each homework and quiz worth 1.5 points.

Homework is in general due on Friday during discussion, except the week of Nov. 25, when it is due on the following Monday (Dec. 2.) The homework is a written assignment to be done individually, although group discussion is allowed. Quizzes are on the days homework is due, to be given at the begining of discussion sections for 15 minutes. But there will be no quiz on Nov. 29 or Dec. 2. Note that this means there will be homeworks and quizzes in the midterm exam weeks as well. We will have a review and provide a sample test before each exam.

Since the GSI is limited in his work hours, he will only grade ONE problem of his choice in each homework. In addition, he will make most quiz problems to be similar to the problems in homework that is due on the day of the quiz. Doing all the homework problems is worth 1 point; and doing the graded problem correctly is worth additional 0.5 point.

Exam Dates

Grade Range

Your final letter grade will be determined based on your own performance. Below is a break-down of grade range I hope everyone will excel in this course.

We will give no credit for homework turned in after the due date. The exams will be cumulative, and there will be no make-up exams or quizzes. However, you can skip or cancel one of the midterms (but not both) if you notify the instructor within 48 hours after the test. In this case, your other midterm and final will be worth 30 points and 40 points, respectively. Grades of Incomplete will be granted only for dire medical or personal emergencies that cause you to miss the final, and only if your work up to that point has been satisfactory.

Sample Exams

Note that the sample exams only serve to familiarize students with the format of the actual exams, without any explicit or implicit suggestions as to the scoop.

Homework Assignments

Academic Integrity

The University policy on academic integrity can be found at Any forms of cheating on homework, quizzes or exams will be actively investigated and reported to ensure honesty and fairness in the class.