This calendar is extremely tentative, but should give a general idea of what topics we will cover.
Course Textbooks:
| Date | Tentative class plan: |
| Wed, Aug 26 | Introduction to Python and Jupyter. Discussion of Python will follow Chapter 1 of LL. We covered how to start Jupyter, which is also discussed in the following notebook: Notebook: Starting up [download] [view] We also discussed some basic use of Python to do math. This material is also discussed in the following notebook: Notebook: Basic math [download] [view] |
| Mon, Aug 31 | More introduction to Python. We'll discuss the Basic math notebook above, and begin discussing the following notebook: Notebook: Plotting Graphs [download] [view] |
| Wed, Sep 2 | Finish introduction to Python |
| Mon, Sep 7 | No class: College Closed |
| Wed, Sep 9 | Numerical Representations and Errors following TAK Chapter 2. Notebook: Number Representations [download] [view] |
| Mon, Sep 14 | More on Numerical Representations and Errors. |
| Wed, Sep 16 | Interval arithmetic Notebook: Interval Arithmetic [download] [view] |
| Mon, Sep 21 | Series expanding on TAK § 1.4. Notebook: Programming Concepts [download] [view] Notebook: Series [download] [view] |
| Wed, Sep 23 | Series continuing from last time. Hand written notes on the estimation example from the Series notebook Notebook: Interval arithmetic and series [download] [view] Discuss Taylor Series Notebook: Taylor Series [download] [view] |
| Mon, Sep 28 | No classes scheduled |
| Tue, Sep 29 | Classes follow a Monday schedule. Finish discussion of Taylor Series |
| Wed, Sep 30 | Numerical Differentiation following TAK § 3.2. Notebook: Numerical Differentiation [download] [view] A more careful discussion of error estimation: Notebook: Numerical differentiation example [download] [view] |
| Mon, Oct 5 | Numerical Integration following TAK § 3.3. Notebook: Numerical Integration [download] [view] |
| Wed, Oct 7 | Numerical Integration following TAK § 3.4. Notebook: Numerical Integration 2 [download] [view] |
| Mon, Oct 12 | No class: College Closed |
| Wed, Oct 14 | More on Numerical Integration |
| Mon, Oct 19 | Review. Come with questions. We could also discuss the Midterm Review: Notebook: Midterm Review [download] [view] |
| Wed, Oct 21 | Midterm. |
| Mon, Oct 26 | Matrices and vectors in Numpy following LL § 2.3. Notebook: Matrices and Vectors [download] [view] |
| Wed, Oct 28 | Gaussian Elimination following TAK § 4.2. Notebook: Gaussian elimination [download] [view] |
| Mon, Nov 2 | Quiz 1. LU Factorization (TAK § 4.3). Notebook: LU Factorization [download] [view] |
| Wed, Nov 4 | Quiz 2. Differential Equations (TAK § 4.3) Notebook: Differential Equations [download] [view] |
| Mon, Nov 9 | Least Squares (TAK § 4.5). Notebook: Least Squares [download] [view] |
| Wed, Nov 11 | Quiz 3. More on Least Squares |
| Mon, Nov 16 | Quiz 4: On differential equations. Dictionaries (L § 6.2). Notebook: Dictionaries [download] [view] Practice Problem on Least Squares Notebook: Least Squares Problem [download] [view] |
| Wed, Nov 18 | Quiz 5: On differential equations. Importing from CSV files. Notebook: Importing from CSV [download] [view] |
| Mon, Nov 23 | Quiz 6: On Least Squares. Eigenvalues (TAK § 4.6). Notebook: Eigenvalues and Eigenvectors [download] [view] |
| Wed, Nov 25 | No class: Classes follow a Friday schedule |
| Mon, Nov 30 | Quiz 7: On Least Squares. Begin discussing classes following L Chapter 7. Notebook: Classes 1 [download] [view] |
| Wed, Dec 2 | Quiz 8: On Dictionaries. Random Numbers following L Chapter 8. Notebook: Random Numbers [download] [view] |
| Mon, Dec 7 | Quiz 9: On Eigenvectors. Monte Carlo Integration following L Chapter 8. Notebook: Monte Carlo Integration [download] [view] |
| Wed, Dec 9 | Review. |