#143 overall
18.085 Computational Science and Engineering I
MIT OpenCourseWare
3 recommenders · 3 threads · recommended in 3 years, 2011–2025 · score 3.1
MIT's 18.085 Computational Science and Engineering I, taught by Gilbert Strang, covers applied linear algebra, differential equations, and solving models numerically, often in MATLAB. The course is built around the companion text 'Computational Science and Engineering' and its recorded lectures.
Commenters call it one of the best math courses they've taken and praise Strang as a fantastic teacher, with lectures available free on MIT OpenCourseWare.
Mathematicsintermediatefreevideo lectures#applied linear algebra#differential equations#numerical methods#matlab#strang
Recommendations by year
20062026
I took 18.085 (applied linear algebra) as a grad student at MIT. The best taught math course I've ever taken. Strang is a fantastic teacher.
Gilbert Strang has an engineering text 'CSE' for creating models using differential eq and solving them entirely in MATLAB or other software. All lectures on MIT ocw https://ocw.mit.edu/courses/mathematics/18-085-computational... it's probably the best math course I've ever done.
If you go on MIT Stellar you can get the most recent lectures if you want, but the book hasn't changed. MIT likely has a few more of these kinds of courses if you look at their most recent offerings, I've only done that book/course(s)
Maybe you also want to program drones or robots or self driving cars http://symbolaris.com/course/lfcps.html this heavily uses differential invariants and all the lectures are open.
Certainly nothing remotely comparable to SICP exists. From my point of view people who are interested in these topics are much better off getting some intuition for basic problems in scientific computing and then making the requisite connections themselves. I can wholeheartedly recommend the recent book by Gilbert Strang "Computational Science and Engineering" [1] and companion video lectures for MIT courses 18.085 and 18.086.
1. http://www-math.mit.edu/cse/