Instructor Key

DF = Prof. Dan Frey
GS = Prof. Gilbert Strang

Session Key

L = Lecture
R = Recitation
E = Quiz or Exam

L1 Course introduction: What are differential equations and linear algebra? How do engineers use them? Four examples of first order differential equations. DF Problem Set 1
L2 First-order equations: Constant source, step function (Heaviside), delta (Dirac), exponentials, real and complex sinusoids. GS  
R1 Recitation    
L3 First-order equations (continued): Separable equations, exact equations. GS

Problem Set 1 Due

Problem Set 2 Assigned

L4 Second-order equations: Second derivatives in engineering, complex numbers, constant coefficient equations. GS  
E1 Quiz 1
L5 Second-order equations (continued): Forced oscillations, examples in electrical and mechanical systems, Laplace transforms. GS Problem Set 3 Assigned
L6 Laplace transforms (continued): Graphical Methods: Direction fields, nonlinear equations, sources, sinks, saddles, and spirals. DF Problem Set 2 Due
R2 Recitation    
L7 Graphical and numerical methods: Linearization, stability, Euler’s method. DF  
L8 Linear systems of equations: Gaussian elimination, matrix multiplication. DF  
R3 Recitation    
L9 Linear systems of equations: Matrix inverse. Existence and uniqueness of solutions. Column, row, null space. DF

Problem Set 3 Due

Problem Set 4 Assigned

L10 Linear systems of equations (continued): Mechanical engineering examples. DF  
R4 Recitation    
E2 Quiz 2: Oral exams scheduled throughout the week.
L11 Eigenvalues and eigenvectors: The eigenvalue problem. Diagonalization, exponentiation of a matrix. DF

Problem Set 4 Due

Problem Set 5 Assigned

L12 Least squares and projection: Positive definite matrices. Singular value decomposition. DF Problem Set 5 Due
L13 Review session for the final exam. DF  
R5 Review session for the final exam (continued).    
E3 Final Exam

Course Info

As Taught In
Fall 2014
Learning Resource Types
Lecture Videos
Problem Sets
Programming Assignments with Examples