### Course Schedule

Lecture topics, slides, and homeworks listed on future dates are likely to change as the course progresses. Future homeworks and materials are unlinked.

## # | ## Date | ## Topic | ## Section in Book | ## Slides | ## Announcements | ## Code |

1 | 1/09/17 | Introduction; numerics; error analysis | 1-2 | Visit http://julialang.org and http://juliabox.com |
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2 | 1/11/18 | Linear systems and LU | 3 | Homework 0 out | ||

4 | 1/16/18 | Norms, sensitivity and conditioning | 4.3 | |||

3 | 1/18/18 | Designing linear systems (incl. least-squares); special structure (Cholesky, sparsity) | 4.1-4.2 | Homework 0 due; Homework 1 out | ||

5 | 1/23/18 | Column spaces and QR | 5 | |||

6 | 1/25/18 | Eigenproblems: How they arise, properties, Spectral Thm | 6.1-6.2 | Homework 1 due; Homework 2 out (hw2code.zip) | ||

7 | 1/30/18 | Singular value decomposition (SVD) | 7 | |||

8 | 2/01/18 | SVD (cont'd) | Homework 2 due; Homework 3 out (hw3code.zip) |
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9 | 2/06/18 | Linear algebra review; nonlinear equations | 8.1 | Sample midterms: 2013, 2015, 2016 | ||

10 | 2/08/18 | Systems of nonlinear equations | 8.2 | HW3 due; Brief HW4 out (). | ||

11 | 2/13/18 | In-class midterm | ||||

12 | 2/15/18 | Unconstrained Optimization (Single variable) | 9.1-3 | Homework 5 out | ||

13 | 2/20/18 | Unconstrained Optimization (Multiple variables) | 9.4 | |||

14 | 2/22/18 | Constrained Optimization | 10 | Homework 5 due Fri; Homework 6 out | ||

15 | 2/27/18 | Conjugate gradients I: Gradient descent, setup | 11.1,11.2.1-2 | |||

Conjugate gradients II: Formulation, preconditioning, and variants | 11.2.3-5, 11.3-4 | |||||

16 | 3/01/18 | Interpolation | 13 | Homework 6 due Fri; Homework 7 out | ||

3/02/18 | Change of grading basis and course withdrawal deadline | |||||

17 | 3/06/18 | Integration and differentiation | 14 | |||

18 | 3/08/18 | Initial value problems and basics of ODE | 15.1-15.3.2 | |||

19 | 3/13/18 | Time-stepping strategies | 15.3.3-15.5 | Homework 7 due Tuesday (no late days) | ||

20 | 3/15/18 | Conclusion | ||||

3/20/18 | Final exam, Tuesday, March 20, 2018 @ 3:30-6:30pm (Room: TBD) | Sample finals: (2013), (2015), (2016) (2017) |