College of Chemistry Course Guide

MATH 54 - Linear Algebra and Differential Equations (4 Units)

Course Overview

Summary

Math 54 is required for all College of Chemistry majors. The format of this course is very similar to the other mandatory math courses. As the name of the course implies, this course covers solving linear systems and differential equations.

Prerequisites

Math 1A, Math 1B

Topics Covered

  • Linear equations and matrix algebra
  • Vector spaces
  • Eigenvectors and eigenvalues
  • Orthogonality and Symmetric Matrices
  • Linear 2nd Order ODEs
  • Fourier Series

Workload

Coursework

  • 2 midterms (one can usually be replaced by the final)
  • 1 final exam based on lecture material (finals week)
  • Weekly problem sets depending on instructor
  • Weekly quizzes during discussion depending on instructor

Time Commitment

3 hours of lecture and 3 hours of discussion per week.

Choosing the Course

When to take

This class is required for all College of Chemistry majors. It is offered both fall and spring semesters. It is traditionally taken second semester sophomore semester, but can be taken anytime during the first two years of college as long as the prerequisites are fulfilled.

Additional Comments and Tips

This course is very abstract. The concepts in the first week of the course appear fairly straightforward, but quickly become more difficult. There is a lot of content in this course, and midterm two of the class is considered very difficult. The majority of the class is linear algebra, while the last two-three weeks are focused on differential equations.

Like other math classes, there are weekly quizzes and problem sets. In addition, most instructors will have two midterms, with one of the midterms being allowed to be replaced with the final. Quality of the lectures depend on the instructor, but since it is a popular class at Cal, there are many resources available.




Written by: Justin Yeung

Last edited: Fall 2018