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MATH 420 , Spring 2024: Notes and Summary

Lecture Date What was covered Lecture Notes and other info
1 Jan. 25 Introduction: Linear Regression (1) Fit1, Fit2
2 Jan.30 Linear Regression (2) Fit3
3 Feb.1 PCA (1) PCA_ICA, assignment 1 due
4 Feb.6 PCA (2) PCA_ICA
5 Feb.8 Agent based Simulations of ODEs Agents based Simulation, assignment 2 due
6 Feb.13 SI models SI, assignment 3 due
7 Feb.15 SIR models SIR
8 Feb.20 Calibration of SIR (1) Calib SIR (1), team assignment 4 due
9 Feb.22 Calibration of SIR (2) Calib SIR (2)
10 Feb.27 SEIR Models SEIR, team assignment 5 due (first set of teams)
11 Feb.29 SEIR (2) , Optimizations Optimizations, assignment 5 due (second set of teams)
12 Mar. 5 Review of population models Review
13 Mar. 7 Project 1 Project One Presentations
14 Mar.12 Project 1 Project One Presentations
15 Mar.14 Project 1 Project One Presentations
- March 17-24 Spring Break
16 Mar.26 Graphs: Adjacency and Laplacian; Erdos-Reny Random Graphs Graphs , movie
17 Mar.28 Random Graphs ER and SBM , Phase Transitions in ER Model (supplemental)
18 Apr.2 ONLINE: Geometric Graphs Embeddings ONLINE: Full data , Partial data
19 Apr. 4 Cheegar Constant and Spectral Gap Spectral Theory
20 Apr. 9 Alignment Problems Registration , assignment 5 due
21 Apr.11 Community Detection Graph Partitions
22 Apr.16 Visualizations and Rigid Transformations Motions , assignment 6 due
23 Apr.18 Embeddings Laplacian Eigenmaps
24 Apr.23 ONLINE: Embeddings ONLINE: Isomap , assignment 7 due
25 Apr.25 ONLINE: Geometric and Random Graph Theory Recap ONLINE: Review
26 Apr.30 Project Two Presentations
27 May. 2 Project Two Presentations
28 May. 7 Project Two Presentations
29 May. 9 Project Two Presentations
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