Math 54
Math 54  Linear Algebra & Differential Equations  [4 units]
Course Format: Three hours of lecture and three hours of discussion per week.
Prerequisites: 1A1B 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; firstorder differential equations with constant coefficients. Fourier series and partial differential equations. (F,SP)
Textbook: LayNagleSaffSnider, Linear Algebra & Differential Equations. A specially priced UC Berkeley paperback edition is available.
Part One: (Lay) 

Chapter 1: Linear Equations 
4 hours 
Sections 1.11.5, 1.71.9 

Chapter 2: Matrix Algebra 
2 hours 
Sections 2.12.3 

Chapter 3: Determinants 
2 hours 
Sections 3.13.3 

Chapter 4: Vector Spaces 
5 hours 
Sections 4.14.7 

Chapter 5: Eigenvalues and Eigenvectors 
4 hours 
Sections 5.15.4 

Chapter 6: Orthogonality and Least Squares 
5 hours 
Sections 6.16.5, 6.7 

Chapter 7: Symmetric Matrices 
1 hour 
Sections 7.1 

Total No. of Hours on Linear Algebra 
23 hours 
Part Two: (NagleSaffSnider) 

Chapter 4: Linear SecondOrder Equations 
4 hours 
Sections 4.14.6 

Chapater 6: Theory of HigherOrder Linear Differential Equations 
2 hours 
Sections 6.16.2 

Chapter 9: Matrix Methods for Linear Systems 
3 hours 
Sections 9.1, 9.49.8 

Chapter 10: Fourier Series 
6 hours 
Sections 10.110.7 

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 