About Math 22b
Welcome to Math 22b, Vector Analysis. The course is similar to Math 21, but a touch more advanced.
Here is the syllabus [PDF].
The main differences to Math 21a is that Linear algebra is integrated, that we work also in higher
dimensions and that there is a proof component. In Fall 2018 the course has been labeled 22a and
was done before linear algebra. So, no linear algebra pre-knowledge is
needed. We introduce matrices right in the first week.
In case of questions, email Oliver knill@math.harvard.edu.
Classes takes place in Sci Center Hall D.
This course covers multivariable calculus and linear
algebra for students interested in theoretical sciences (applied or pure
math, computer science, physics, mathematical biology, statistics, or
more mathematical economics.)
The course starts a bit steep but it will allow us to cruise a bit higher
and use the power of linear algebra to get more insight. (Linear algebra is
the jet stream which allows us to travel easier).
- 22 covers essentially the same topics as Math 21 but with slightly more rigor.
- 22 has the same workload and credit than Math 21.
- 22 is a single class lecture course.
- 22 has linear algebra and calculus more interlinked.
- 22 features a gentle introduction to proofs and mathematical reasoning.
- 22 prepares for other courses who require proof experience.
- Syllabus (PDF) to come
- Here are 30 second shorts stressing why we want to learn calculus and linear algebra:
