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Nick Trefethen FRS, Professor of Numerical Analysis at the Oxford University, teaches a course for DPhil (PhD) students across all the science departments at the university. The course is distinctive for its exceptionally strong conceptual basis, focusing on the fundamental ideas of numerical algorithms and the world of science and engineering they sustain. Historical and philosophical notes on many subjects make these lectures unusual.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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- Add the certificate to your CV or resume and brighten up your career
- Show it to prove your success
Course Credit: University of Oxford
Course Curriculum
| Module: 1 | |||
| Sparse Matrices and Iterative Methods (1.1) | 00:50:00 | ||
| Sparse Matrices and Iterative Methods (1.2) | 00:53:00 | ||
| Sparse Matrices and Iterative Methods (1.3) | 00:54:00 | ||
| Sparse Matrices and Iterative Methods (1.4) | 00:48:00 | ||
| Module: 2 | |||
| Dense Linear Algebra (2.1) | 00:53:00 | ||
| Dense Linear Algebra (2.2) | 00:49:00 | ||
| Dense Linear Algebra (2.3) | 00:54:00 | ||
| Dense Linear Algebra (2.4) | 00:51:00 | ||
| Dense Linear Algebra (2.5) | 00:49:00 | ||
| Module: 3 | |||
| Optimization (3.1) | 00:49:00 | ||
| Optimization (3.2) | 00:50:00 | ||
| Optimization (3.3) | 00:50:00 | ||
| Module: 4 | |||
| ODEs and Nonlinear Dynamics (4.1) | 00:53:00 | ||
| ODEs and Nonlinear Dynamics (4.2) | 00:50:00 | ||
| ODEs and Nonlinear Dynamics (4.3) | 00:52:00 | ||
| ODEs and Nonlinear Dynamics (4.4) | 00:51:00 | ||
| Module: 5 | |||
| PDEs (5.1) | 00:51:00 | ||
| PDEs (5.2) | 00:49:00 | ||
| PDEs (5.3) | 00:52:00 | ||
| PDEs (5.4) | 00:51:00 | ||
| PDEs (5.5) | 00:50:00 | ||
| PDEs (5.6) | 00:51:00 | ||
| PDEs (5.7) | 00:51:00 | ||
| PDEs (5.8) | 00:53:00 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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