Schedule

Assignments

Deadline	Description
Monday, August 28, 2023	Chapter 1: Math Fundamentals, finish Python intro on Udemy
Friday, September 1, 2023	Chapter 2: Intro to Linear Algebra and Chapter 3: Computational linear algebra
Friday, September 8, 2023	Chapter 4: Geometric Aspects of Linear Algebra and Chapter 5: Linear Transformations
Friday, September 15, 2023	Chapter 6: Theoretical Linear Algebra and mini-project pseudocode
Friday, September 22, 2023	Mini-Project: Simulating Games of Chance
Friday, September 29, 2023	Problem Set 1: Linear Systems and Taylor Series
Friday, October 6, 2023	Problem Set 2: Numeric Integration and Project Proposal Part 1
Friday, October 27, 2023	Problem Set 3: Pyomo, Pandas, and Probability
Friday, November 3, 2023	Submit Project Part 1 Notebooks
Friday, November 10, 2023	Problem Set 4: Error Propagation, Project Part 2 Updates Due
Friday, November 17, 2023	Problem Set 5: Hypothesis Testing
Friday, December 1, 2023	Problem Set 6: Statistical Power and Nonlinear Regression
Thursday, December 7, 2023	Project Notebook(s) Due
Friday, December 15, 2023, 10:30 AM - 12:30 PM (Final Exam Timeslot)	Project Presentations

Class Meetings

Main Topic(s)	Supplemental Material
Tuesday, August 22, 2023	Python and Math Quickstart
Welcome to Jupyter Notebooks and Vocareum	Python Basics I: Variables, Strings, and Bugs
Pseudocode	Python Basics II: Loopy Logic
High/Low Guess My Number Game	Python Basics III: Lists, Dictionaries, and Enumeration
Preparing Publication Quality Figures in Python	Functions and Scope
Chapter 1: Math Fundamentals	Recursion
	Modules and Files
	Linear Algebra with Numpy and Scipy
	Visualization with matplotlib
	Functions as Arguments
	Testing and Debugging in Python
Thursday, August 24, 2023
Chapter 2: Intro to Linear Algebra	Modeling Systems of Linear Equations
	Linear Algebra Review and SciPy Basics
Tuesday, August 29, 2023
Chapter 3: Computational linear algebra	Gaussian Elimination
Thursday, August 31, 2023
Chapter 4: Geometric Aspects of Linear Algebra	Errors in Linear Systems
Tuesday, September 5, 2023
Chapter 5: Linear Transformations	Invertible Matrix Theorem and Gaussian Elimination Example
	LU Decomposition
Thursday, September 7, 2023
Mini-Project Hackathon
Tuesday, September 12, 2023
Chapter 6: Theoretical Linear Algebra	Errors in Linear Systems
Thursday, September 14, 2023	Approximating Functions and Derivatives
Taylor Series Approximations	Algorithm Building Blocks
Finite Difference Derivative Approximations	Example: Heating a Metal Slab
Example: Heating a Metal Slab
Tuesday, September 19, 2023
Linear Algebra and Python Quiz	Mini-Project Hackathon
Thursday, September 21, 2023	Solving Nonlinear System of Equations
Newton-Raphson Method in One Dimension	Nonlinear Systems of Equations
More Newton-Type Methods	Convergence Analysis for Newton-Raphson Methods
Newton-Raphson Methods for Systems of Equations	Newton Methods in Scipy
Tuesday, September 26	Numeric Integration for Integrals
Introduction and Newton-Cotes	Numeric Integration
Gauss Quadrature	Scipy Library: Adaptive Methods for Newton-Cotes and Gauss Quadrature
	Application: Inertial Navigation Systems
Thursday, September 28	Numeric Integration for Differential Equations
Forward and Backward Euler Methods	Explicit Range Kutta Method
Crank-Nicolson (Trapezoid Rule)	Example: Reaction Rates
Stability Analysis
Systems of Differential Equations and Scipy
Tuesday, October 3	Pyomo
Pyomo Basics	Continuous Optimization
Simulating Heat Conduction with Pyomo.dae	Flash Calculations in Pyomo
Simulating Diffusion with Adsorption in Polymers with Pyomo.dae
Thursday, October 5	Pandas and Data
Manipulating Data with Pandas	Descriptive Statistics and Visualization
Tiny Data
Sampling
Summary Statistics
Visualizing Data
Tuesday, October 10	Basic Ideas of Probability
Basic Ideas of Probability	Probability Theory
Thursday, October 12	Random Variables
Random Variables	Practice Problems
Jointly Distributed Random Variables
Jointly Continuous Random Variables
Tuesday, October 17	Fall Break
Thursday, October 19	Fall Break
Tuesday, October 24	Probability Distributions, Uncertainty Propagation
Bernoulli Probability Distribution	Common Probability Distributions
Binomial Probability Distributions	Summary
Poisson Probability Distributions
Normal Probability Distributions
Measurement Error
Error Propagation
Measuring Flowrate Example
Thursday, October 26	Numerical Methods Quiz, Uncertainty Propagation
Simulation	Car and Incline Example
Monte Carlo Error Propagation	Practice Problems
Tuesday, October 31	Statistical Inference
Central Limit Theorem	Statistical Inference
Standard Normal Distribution
Confidence Intervals
Student’s t-Distribution
Thursday, November 2	Hypothesis Testing
Hypothesis Testing Basics
Flavors of Hypothesis Testing
Bootstrap Confidence Intervals
Tuesday, November 7	Project Workshop
Thursday, November 9	Project Workshop
Tuesday, November 14	Multivariate Linear Regression
	Ordinary Least Squares Linear Regression
	Residual Analysis
	Regression Assumption Examples
	Uncertainty Analysis and Statistical Inference
	Multivariate Linear Regression
	Linear Regression Practice Problems
Thursday, November 16	Multivariate Linear Regression Continued
Tuesday, November 21	Statistical Power
Type I and Type II Errors	Statistical Power in Python
Statistical Power Basics	Statistical Power Practice Problems
Thursday, November 23	Thanksgiving
Tuesday, November 28	Nonlinear Regression
Transformations and Linear Regression
Weighted Linear Regression
Nonlinear Regression
Thursday, November 30	Probability and Statistics Quiz, Nonlinear Regression Continued
Monte Carlo Uncertainty Analysis for Nonlinear Regression	Nonlinear Regression Case Study: Adsorptive Nanoporous Membranes
Nonlinear Regression Practice Problem
Tuesday, December 5	Design of Experiments
Model-Based Design of Experiments	Design of Experiments
Thursday, December 7	Semester Wrap-up, Project Workshop