[Math 2240] Theoretical Linear Algebra and Calculus
The second course in the honors first-year sequence at Cornell. Supposedly designed after Harvard’s 55 sequence by John Hubbard. The students were incredibly talented. The environment was collaborative, and I felt we were learning the material together and from each-other.
Course textbook: Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach.
Worksheets:
For the second half of the semester, we discussed problems from the above problem sheet. Some recitations were used to learn new but relevant material (dual spaces and tensors from a pure vector-space point of view, Lagrange multipliers through an exactness condition on morphisms between tangent spaces …).