[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:

• week 1
• week 2
• week 3
• week 4
• week 5
• week 6
• Problem Sheet (Second half of semester)

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 …).