For the start of the course we collect some information and material on this site. Later on we are going to work in an Ashesi Canvas course.
Key elements are:
Please note that this self assessment is NOT graded! We recommend that you solve it under open-book exam conditions and limit your time to 60 - 70 minutes. Note for some exercises (multiple-choice) more than one answer is correct!
Please submit your solutions by the 8th of January at noon. Please use the personal link that you got in the invitation e-mail.
This self assessment serves a two-fold goal:
Suggestions for answering the self assessment:
After submission you’ll be shown the solutions without explanations. We are going to discuss some of the topics at the beginning of the course in January.
It is not expected that you work though all the preparatory material in advance! However, if you would like to fill some gaps or brush up your knowledge in specific areas or more broadly before the course starts, you are warmly invited to do so! We plan to recapitulate some basics at the beginning of the course based on the performance of the class.
You may find some training resources by working with Khan exercises.
They offer you the opportunity to engage interactively, individually ("Hints") and repeatedly ("New Numbers") with a mathematical topic. Try to get the result right two or three times in a row. There's no record, thus you are free to try. This is valid for the entire course.
This monograph introduces more advanced Linear Algebra with applications relevant to linear systems of first-order Ordinary Differential Equations (ODE) and Fourier theory. Its primary goal is to equip engineering students with the mathematical tools necessary to model, analyse, and solve practical engineering problems. Understanding mathematics as a precise language allows for accurate modelling of complex systems and provides a framework for interpreting solutions both qualitatively and quantitatively.
Please note that the script covers more material than can be covered in two weeks. Also the order might change, depending on the flow and on pre-knowledge of the students.
Main reference: [Lay] David C. Lay et al, Linear Algebra and its Applications, 5/E, Pearson Hall, 2016. Available at Ashesi library.
We build on solid knowledge in matrix algebra, systems of linear equations, eigen values/vectors as in [Lay] Chapter 1 to 3, Chapter 5.1, 5.2 and 6.1 additionally Appendix B. Some background on linear ODE of 1st and 2nd order would be great. Compare in addition Appendix in the script.
For the prerequisites follow these links (PW was sent to you.)