Data Driven Modeling
&
Scientific Computation
Basic Computation & Visualization
MATLAB Introduction
Linear Systems
Curve Fitting
Differentiation & Integration
Basic Optimization
Visualization
Differential and Partial Differential Equations
Initial & Boundary Value Problems
Finite Difference Methods
Time & Space Stepping Schemes
Spectral Methods
Finite Elements Method
Data Analysis
Statistical Methods
Time-Frequency Analysis
Image Processing
Singular Value Decomposition
Independent Component Analysis
Image Recognition: Basic Machine Learning
Compressed Sensing
Dimensionality Reduction for PDEs
Dynamic Mode Decomposition
Data Assimilation
Scientific Applications
Differential Equations and Boundary Values
Partial Differential Equations
Applications of Data Analysis
Differentiation & Integration: Chapter 4