This is a course primarily about differential calculus in several variables. A fair amount of linear algebra (linear independence, dimension, bases,...) will be developed along the way. The calculus will cover among others the chain rule, Kantorovitch's theorem, the inverse and implicit function theorem, manifolds and their tangent spaces, Taylor polynomials in several variables, max-min problems and Lagrange multipliers.
There will be one homework set assigned every Friday, due the following Friday. I encourage people to work in groups, but everyone should write up his or her own solution. The solutions to homework will be posted on this web site the Friday they are due, or at latest the following day. The next week's assignment will be posted at the same time.