An introduction to scientific computation, with substantial use of scientific software, such as Maple and Matlab. Scientific problems and models from different disciplines are considered. Numerical methods introduced in this course include interpolation, curve fitting, solving (systems of) linear and nonlinear equations, eigenvalue problems, integration and solving ordinary and partial differential equations.

** Prerequisites **

CP104, MA110* (or MA103), MA122, MA205

Dr. Ilias S. Kotsireas, Office 2076A, Office Hours 24/7 and by appointment, Phone 884-0710 ext. 2218# E-Mail: ikotsireATwlu.ca

Every Saturday 11 a.m. to 1 p.m. (for the duration of the semester)

Saturday January 14, 2017, 10 a.m. - 1 p.m. BA 112

Friday January 20, 2017, 2:30 p.m. - 4:00 p.m. BA 112

Monday April 3, 2017, 5:30 p.m. - 7:00 p.m. BA 112

**Course Topics**

- equation solving, nonlinear equations, systems of nonlinear equations
- systems of linear equations: direct and iterative methods
- matrix eigenvalue problems, matrix eigenvector problems
- Fast Fourier Transform
- interpolation, curve fitting
- numerical differentiation, numerical integration
- Optimization
- Symbolic Computation
- Ordinary Differential Equations (ODEs), Initial Value Problems (IVPs), Boundary Value Problems (BVPs)
- Partial Differential Equations (PDEs), Discretization, Finite Difference Methods, Collocation, Finite Element Method

**Course Software**

- MaplePrimes
A Web community dedicated to sharing experiences, techniques, and opinions about Maple

- Application Center Featuring over 2350 applications contributed by the Maplesoft user community

- Maple T.A. Content CenterThousands of freely available Maple T.A. questions.

- Matlab tutorial links from MathWorks

- A Partial List of On-Line Matlab Tutorials and Matlab Books

**Class Schedule, Winter Semester Timetable**

| Mon | Wed | | 5:30-7:00 | 5:30-7:00 | | BA 112 | BA 112 | ______________|_____________|_____________|__ | | | | Week 1: | -- | Jan 04 | Week 2: | Jan 09 | Jan 11 | Week 3: | Jan 16 | Jan 18 | Week 4: | Jan 23 | Jan 25 | Week 5: | Jan 30 | Feb 01 | Week 6: | Feb 06 | Feb 08 (P1) | Week 7: | Feb 13 | Feb 15 (M) | ______________|_____________|_____________|_______________ | Reading Week | Feb 20 - Feb 24 N o C o u r s e s ______________|___________________________________________ Week 8: | Feb 27 | Mar 01 | Week 9: | Mar 06 | Mar 08 | Week 10: | Mar 13 | Mar 15 | Week 11: | Mar 20 | Mar 22 | Week 12: | Mar 27 | Mar 29 (P2) | ______________|_____________|_____________|__ | | |

**Course Requirements/Student Evaluation**

- The course final grade is computed based on the 4 components: P1, P2, M, FE explained in more detail below.
- Each student will prepare a portfolio of homework questions.
Homework questions will be handed out at the end of each lecture
and will consist of an assortment of theoretical questions,
practical problems, and programing questions. The programing
questions are meant to be solved using Maple.
The portfolio will be marked in two parts, P1, P2 and
each part will be due as follows:
- P1 due date: Wednesday, Feb 08, 2017
- P2 due date: Wednesday, Mar 29, 2017

- P1 due date: Wednesday, Feb 08, 2017
- The course final grade is computed as: P1*(15/100) + P2*(15/100) + M*(30/100) + F*(40/100)
- Important Information regarding the portfolio submission:
- All portfolio submissions will be by MyLS dropbox only.
- All portfolio submissions must be typeset (LaTeX, Word).
- All portfolio submissions must be by .pdf file attachment only.
- Upload
**one**.pdf file only, for the entire portfolio, using the following naming schemeCP315-Portfolio-yourFirstName-yourLastName.pdf

OR

PC315-Portfolio-yourFirstName-yourLastName.pdf

(these are dash characters, not underscores)

- Use a cover page for your portfolio. Make sure that all pages of your .pdf file are numbered and on each page include a header with your name and course code
- Portfolio submissions that violate any of the above requirements, will not be accepted/marked.

- All portfolio submissions will be by MyLS dropbox only.
- (M) Midterm Examination: 30%, Wednesday, February 15, 2017, in class.
- (F) Final Examination: 40%, Thursday, April 06, 2017, 7:00-9:30 p.m.
Winter examination period: April 6-24, 2017
**Students are advised not to make travel commitments during this time**