Math 54

Math 54 - Linear Algebra & Differential Equations -- [4 units]

Course Format: Three hours of lecture and three hours of discussion per week.

Prerequisites: 1A-1B or equivalent. Note: calculus courses at most institutions either have no differential equations, or less than Berkeley's Math 1B. Transfer students who have taken such  courses need to learn the relevant differential equations material (Stewart, Single Variable Calculus, Chapters 9 and 17) on their own, by approximately the 10th week of Math 54. The instructor and GSIs should emphasize this.

Description: Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; linear transformations. Homogeneous ordinary differential equations; first-order differential equations with constant coefficients. Fourier series and partial differential equations. (F,SP)

Textbook: Lay-Nagle-Saff-Snider, Linear Algebra & Differential Equations. A specially priced UC Berkeley paperback edition is available.

Part One: (Lay)

Chapter 1: Linear Equations
4 hours
Sections 1.1-1.5, 1.7-1.9

Chapter 2: Matrix Algebra
2 hours
Sections 2.1-2.3

Chapter 3: Determinants
2 hours
Sections 3.1-3.3

Chapter 4: Vector Spaces
5 hours
Sections 4.1-4.7

Chapter 5: Eigenvalues and Eigenvectors
4 hours
Sections 5.1-5.4

Chapter 6: Orthogonality and Least Squares
5 hours
Sections 6.1-6.5, 6.7

Chapter 7: Symmetric Matrices
1 hour
Sections 7.1

          Total No. of Hours on Linear Algebra
23 hours
Part Two: (Nagle-Saff-Snider)

Chapter 4: Linear Second-Order Equations
4 hours
Sections 4.1-4.6

Chapater 6: Theory of Higher-Order Linear Differential Equations
2 hours
Sections 6.1-6.2

Chapter 9: Matrix Methods for Linear Systems
3 hours
Sections 9.1, 9.4-9.8

Chapter 10: Fourier Series
6 hours
Sections 10.1-10.7

          Total No. of Hours on Differential Equations
15 hours
Totals for Part One and Part Two
38 hours
Midterms & Holidays 
4 hours

Reviews are appropriate during the RRR week.

The total number of class hours may vary during the Fall and Spring semesters.
42 hours