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Introduction to Mathematical Modelling

Modelling Process

Overview
Modelling Process

Deterministic Models

Overview
Differential Equations
- Scalar Equations
- Systems of Equations
Nondimensionalization
- Dimensions and Units
- Scaling
Objects in Motion
Heat Transfer
Mass Balance
- Conservation of Mass
- Chemical Kinetics

Stochastic Models

Overview
Probability Distributions
Random Sampling
Kernel Density Estimation

Data-Driven Models

Linear Regression
Logistic Regression
Numerical Methods
- Gradient Descent
- Optimizing Cross-Entropy

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By UBC Math

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