Fall 2022 Schedule

Assignments

Deadline	Description
Friday, September 2, 2022	Problem Set 1: Python Programming
Friday, September 9, 2022	Mini-Project: Simulating Games of Chance
Friday, September 16, 2022	Problem Set 2: Systems of Equations, Taylor Series
Friday, September 30, 2022	Problem Set 3: Numeric Integration, Optimization
Friday, October 7, 2022	Project 1: Proposal
Friday, October 14, 2022	Problem Set 4: Probability, Error Propagation
Tuesday, October 25, 2022	Project 1: Draft Jupyter Notebook (11:59pm, upload .ipynb and .pdf files to Google Drive)
Thursday, October 27, 2022	Project 1: Peer Review (noon, upload .pdf to Google Drive)
Monday, October 31, 2022	Project 1: Revised Jupyter Notebook (noon, submit via Gradescope)
Friday, November 11, 2022	Problem Set 5: Error Propagation, Simulation, Probability Modeling, Confidence Intervals, Hypothesis Testing, Statistical Power
Wednesday, November 23, 2022	Project 2: Proposal
Friday, December 2, 2022	Problem Set 6: Nonlinear Regression Case Study: Adsorptive Nanoporous Membranes (beginning through Comparison of Three Regression Approaches inclussive)
Thursday, December 8, 2022	Project 2: Jupyter Notebook
Monday, December 12, 2022, 10:30 AM - 12:30 PM (Final Exam Timeslot)	Project 2: Presentations
Tuesday, December 13, 2022, 5pm	Project 1: Revisions Due

Class Meetings

Day	Before Class Reading
Tuesday, August 23, 2022	Python Primer
	Welcome to Jupyter Notebooks and Vocareum
	Python Basics I: Variables, Strings, and Bugs
	Python Basics II: Loopy Logic
	Python Basics III: Lists, Dictionaries, and Enumeration
	Functions and Scope
	Recursion
Thursday, August 25, 2022	Pseudocode
	High/Low Guess My Number Game
	Modules and Files
	Linear Algebra with Numpy and Scipy
	Visualization with matplotlib
Tuesday, August 30, 2022	Manipulating Data with Pandas
	Functions as Arguments
	Testing and Debugging in Python
	Preparing Publication Quality Figures in Python
Thursday, September 1, 2022	Applied Linear Algebra
	Linear Algebra Review and SciPy Basics
	Gaussian Elimination
Tuesday, September 6, 2022	Invertible Matrix Theorem and Gaussian Elimination Example
	LU Decomposition
	Errors in Linear Systems
Thursday, September 8, 2022	Modeling Systems of Linear Equations
	Example: Mass Balances and Linear Algebra
Tuesday, September 13, 2022	Algorithm Building Blocks
	Taylor Series Approximations
	Finite Difference Derivative Approximations
	Example: Heating a Metal Slab
Thursday, September 15, 2022	Nonlinear Systems of Equations
	Modeling Systems of Nonlinear Equations: Flash Calculation Example
	Newton-Raphson Method in One Dimension
	More Newton-Type Methods
	Convergence Analysis for Newton-Raphson Methods
	Newton-Raphson Methods for Systems of Equations
	Newton Methods in Scipy
Tuesday, September 20, 2022	Numeric Integration
	Introduction and Newton-Cotes
	Gauss Quadrature
	Scipy Library: Adaptive Methods for Newton-Cotes and Gauss Quadrature
	Application: Inertial Navigation Systems
Thursday, September 22, 2022	Forward and Backward Euler Methods
	Crank-Nicolson (Trapezoid Rule)
	Stability Analysis
	Explicit Range Kutta Method
	Systems of Differential Equations and Scipy
	Example: Reaction Rates
Tuesday, September 27, 2022	Continuous Optimization
	Pyomo Basics
	Flash Calculations in Pyomo
	Numeric Integration with Pyomo
Thursday, September 29, 2022	Descriptive Statistics and Visualization
	Sampling
	Summary Statistics
	Visualizing Data
	Probability Theory
	Basic Ideas of Probability
Tuesday, October 4, 2022	Project 1 Kick-off
Thursday, October 6, 2022	Random Variables
	Jointly Distributed Random Variables
	Jointly Continuous Random Variables
	Practice Problems
Tuesday, October 11, 2022	Common Probability Distributions
	Bernoulli Probability Distribution
	Binomial Probability Distributions
	Poisson Probability Distributions
	Normal Probability Distributions
	Summary
	Uncertainty and Error Propagation
	Measurement Error
Thursday, October 13, 2022	Error Propagation
	Measuring Flowrate Example
	Car and Incline Example
	Simulation
	Monte Carlo Error Propagation
	Practice Problems
October 18, 2022	Fall Break
Thursday, October 20, 2022	Fall Break
Tuesday, October 25, 2022	Complete Project 1
Thursday, October 27, 2022	Project 1 Peer Review
Tuesday, November 1, 2022	Statistical Inference
	Central Limit Theorem
	Standard Normal Distribution
	Confidence Intervals
	Student’s t-Distribution
	Hypothesis Testing Basics
Thursday, November 3, 2022	Flavors of Hypothesis Testing
	Type I and Type II Errors
Tuesday, November 8, 2022	Statistical Power Basics
	Statistical Power in Python
	Statistical Power Practice Problems
	Bootstrap Confidence Intervals
Thursday, November 10, 2022	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
Tuesday, November 15, 2022	Midterm Exam
Thursday, November 17, 2022	Project 2 Workshop
Tuesday, November 22, 2022	Nonlinear Regression
	Transformations and Linear Regression
	Weighted Linear Regression
	Nonlinear Regression
Thursday, November 24, 2022	Thanksgiving Holiday
Tuesday, November 29, 2022	Nonlinear Regression Practice Problem
	Monte Carlo Uncertainty Analysis for Nonlinear Regression
	Nonlinear Regression Case Study: Adsorptive Nanoporous Membranes
Thursday, December 1, 2022	Design of Experiments
Tuesday, December 6, 2022	Final Project Workshop
Thursday, December 8, 2022	Semester Review