Computational Science and Engineering I

Calendar

LEC #	TOPICS	KEY DATES
1	Review of Linear Algebra
2	Review of Linear Algebra (cont.)
3	Review of Linear Algebra (cont.)
4	Differences, Derivatives, and Boundary Conditions
5	Inverses and Delta Functions
6	Eigenvalues and Eigenvectors	Problem set 1 due
7	Positive Definite Matrices and Least Squares
8	Numerical Linear Algebra: LU, QR, SVD
9	Equilibrium and the Stiffness Matrix	Problem set 2 due
10	Oscillation by Newton’s Law I
11	Oscillation by Newton’s Law II
12	Graph Models and Kirchhoff’s Laws	Problem set 3 due
13	Damped Harmonic Oscillators and the Laplace Transform I
14	Damped Harmonic Oscillators and the Laplace Transform II
	[no lecture]	Midterm exam
15	Review of Vector Calculus I
16	Review of Vector Calculus II; Fourier Series
17	Fourier Series (cont.)	Problem set 4 due
18	Polar Coordinates and Laplace’s Equation
19	Laplace’s Equation and Separation of Variables
20	Laplace’s Equation and Finite Difference	Problem set 5 due
21	The Finite Element Method I
22	The Finite Element Method II
23	The Discrete Fourier Transform and the FFT I	Problem set 6 due
24	The Discrete Fourier Transform and the FFT II
25	Convolution and Signal Processing
26	Fourier Integrals	Problem set 7 due
27	Course Review	Take-home final exam released
28	Guest Lectures	Take-home final exam due
29	Special Topic: Deep Learning/Double Descent