Analysis-2

 This is a one-semester course (15 weeks), with two 90-minute lectures and two 90-minute tutorials per week. The course will cover the following subjects.

1. Riemann integral
2. Limit and continuity for functions of several variables
3. Differentials and mean value theorem
4. Taylor formula and local extrema
5. Inverse and implicit function theorems
6. Applications: curves and surfaces, extrema with constraint

All (mathematical) questions should be asked on this blog, to make sure that the answers are freely available to everybody. Note that MathJax is active, so that you can use Latex for formulas:

        $Df^{-1}(x)=Df(f^{-1}(x))^{-1}.$