# Numerical Methods Applied to Chemical Engineering

- Institution: Massachusetts Institute of Technology
- Department: Chemical Engineering
- Taught by: Prof. William Green, Jr., Prof. James W. Swan
- Term: Fall 2015
- Level: Graduate
- Language: English
- Subjects: Mathematics, Chemistry, Computer science, Engineering
- Source: [MIT OpenCourseWare](https://ocw.mit.edu/courses/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/)
- Licence: [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/) (Non-commercial use only.)
- Syllabus: [at the source](https://ocw.mit.edu/courses/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/pages/syllabus/)
- Readings: [at the source](https://ocw.mit.edu/courses/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/pages/readings/)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: Numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. Navier-Stokes), numerical methods in molecular simulation (dynamics, geometry optimization). All methods are presented within the context of chemical engineering problems. Familiarity with structured programming is assumed.

## Lectures

1. [Session 5: Eigenvalues and Eigenvectors](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/caf37f5627aa), 54 min (Video)
2. [Session 6: Singular Value Decomposition; Iterative Solutions of Linear Equations](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/2333db58ad2d), 48 min (Video)
3. [Session 7: Solutions of Nonlinear Equations; Newton-Raphson Method](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/f822ad5b5b3d), 46 min (Video)
4. [Session 8: Quasi-Newton-Raphson Methods](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/7518a2b7b1d3), 52 min (Video)
5. [Session 9: Homotopy and Bifurcation](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/b50a5d6cf192), 54 min (Video)
6. [Session 11: Unconstrained Optimization; Newton-Raphson and Trust Region Methods](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/f0eea5f0d7e7), 54 min (Video)
7. [Session 12: Constrained Optimization; Equality Constraints and Lagrange Multipliers](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/584b9902d096), 51 min (Video)
8. [Session 13: ODE-IVP and Numerical Integration 1](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/1408ea53265b), 49 min (Video)
9. [Session 16: ODE-IVP and Numerical Integration 4](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/cebcd1ee320f), 55 min (Video)
10. [Session 18: Differential Algebraic Equations 2](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/318c5ebd12d2), 56 min (Video)
11. [Session 19: Differential Algebraic Equations 3](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/5a2532bf7667), 56 min (Video)
12. [Session 20: Boundary Value Problem 1](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/72ed45c6bac0), 52 min (Video)
13. [Session 21: Boundary Value Problems 2](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/6136bd7dad74), 55 min (Video)
14. [Session 22: Partial Differential Equations 1](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/5af94c671abe), 50 min (Video)
15. [Session 25: Review Session](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/b21716b7e7f0), 56 min (Video)
16. [Session 26: Partial Differential Equations 2](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/f8740818f663), 52 min (Video)
17. [Session 27: Probability Theory 2](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/e37c57d6f550), 54 min (Video)
18. [Session 28: Models vs. Data 1](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/2acfd9293657), 55 min (Video)
19. [Session 30: Models vs. Data 3](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/067c4e266dc6), 51 min (Video)
20. [Session 33: Monte Carlo Methods 2](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/a08802d3a949), 51 min (Video)
21. [Session 34: Stochastic Chemical Kinetics 1](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/49543f0c4436), 54 min (Video)
22. [Session 35: Stochastic Chemical Kinetics 2](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/dd162a2181fd), 48 min (Video)
23. [Session 36: Final Lecture](https://invisiblenetwork.ai/learn/mit/10-34-numerical-methods-applied-to-chemical-engineering-fall-2015/b788a3ad5ea1), 46 min (Video)