BE5B01DEN - Differential equations & Numerical methods
Goodies:
• syllabus - the most important information about the course.
• Information on midterm. Sample midterm.
• Information on the final.
• Sample final test. See also Special: recording of a practice final session.
• Make-up homeworks in case you missed some of the earier ones and arranged with the instructor to submit them later.
• And if you survive three years here, you will want to look at outline of knowledge that is expected from you when you go for the final state examination.
You will find study resources below.
Weekly plan with slides that you can print and take with you to lectures (this is strongly recommended so that you do not have to copy that much). A more detailed plan for the course can be found here.
Week 1 (February 16—20): separable equations.
• Printable slides: ODE of order 1 and here a compact version.
• Homework #1, bring your work to practical class in week 2.
If you miss a class: This week's topics can be found in videos 2a (at least up to 1:34:45) and 2f (as much as you want).
Resources:
Lecture notes for the course: Ordinary Differential Equations and Numerical Mathematics.
In case you miss class:
• Videolectures for this course can be found in this Youtube playlist. A detailed description of contents can be found here.
• Here you find recorded online practice classes from the covid lockdown days that were re-edited to fit better the way we do practice classes now.
Solved problems: Here you will find problems of key types with detailed solutions.
• 1. analysis of solutions.
• 2. separable equations.
• 3 & 4. linear equations.
• 5. variation (including equations of order 1).
• 6. & 7. systems.
• numerical mathematics.
• Practice problems: Most of them are of the right difficulty for exams.
• 1. analysis of solutions.
• 2. separable equations.
• 3. homogeneous linear equations.
• 4. linear equations.
• 5. variation (including equations of order 1).
• 6. homogeneous systems.
• 7. systems.
• 8. assessing suitability of methods.
• numerical mathematics.
Maple:
If you want to play with numerical mathematics using Maple worksheets, you will need Maple and install in it the library NumericalMethods. To install it, download the files
• NumericalMethods.mla (library of procedures)
• NumericalMethods.hdb (Help library) or NumericalMethods.help (Help library for version 18 or later)
and put them into the library folder of your Maple, the traditional place is .../Maple/lib/. Additional info can be found on the page Resources on Maple