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## Updates
- Working on Module 3 & 4
- Doing everything in Markdown for a Python notebook -> convert using script
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## Topics
and questions
- Current Progress
- Administrative:
- GS6 -> committee member
- Comittee member: Dr. Bechara
- Outside committee member: Dr. Baker
- Conferences
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## Discussion
For module 3 organize as follows:
1. Linear equation solvers (1 equation + systems of equations, prepare 2 or 3 methods for linear systems of equations: Gauss, LU decomposition) -> 1 week of notes (3 lectures)
1.1 Linear equation
1.2 Systems: Gauss
1.3 LU decomposition
2. Nonlinear equation solver (2 lectures on single equation solver: Newton, Secant, Bisection + 2 lectures on systems of nonlinear equation - extension of Newton) -> 1.5 Week
2.1 Introduction to nonlinear equation -> Newton
2.2 Advanced Newton/Secant
2.3 Bisection
3. Differentiation & Integration -> 2.5 weeks
3.1 Introduction to finite difference schemes: backwards, central ,forward differentiation (2 lecture)
3.2 Explicit (Explicit Euler, Runge Kutta,...) vs. Implicit Ordinary Differential (Implicit Euler) Equations (2-3 lectures)
3.2 Introduction to numerical integration: Trapezoidal, Midpoint, Simpson (2 lecture)
3.3 PDEs using finite differences: MacCormak Scheme (applications to heat transfer or fluids problems) -> Remaining lecturesFocus on the theory for each of the sections and find some potential MECH Engr/Aerospace applications. We will revisit the application together in our next meeting. Some suggestions: Supersonic Flows (theta-beta-mach for Newton), modeling for dynamic systems, vibrations, chemical kinetics, etc...
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## Actions
- [ ] Revisit Gantt chart: update such that Module 3 now begins in September. Aim to finish module 5 by early November
- [ ] Plans: Finish tutorials on Module 3 before our next meeting (end of September at the latest) so that you are left with Module 4 and 5 in October.
- [ ] GS6: Sam Bechara (MECH 103, 105), Dan Baker (education teaching angle) -> email them (CC-me) and once they confirm add them to your GS6 form.
- [ ] Does a Master Plan B need to present/attend/send a paper to a conference? -> CD will ask Amanda (CC-Christian)
- [ ] Ensure each tutorial is 50 mins long and is organized as follows:
- ~25 minutes theory/introduction of the concept.
- ~15-20 mins solving in-class problem.
- Last 5-10 mins new problem set-up for students (this will go into their HW)
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