Chapter 1: Metric and normed spaces; sequences and series and their convergence.
Chapter 2: Continuity on metric and normed spaces.
Chapter 3: Differential calculus in several variables (derivative, partial derivative, higher derivatieves etc.); tangen spaces; important theorems (invers functions, implicit functions); Optimization and Lagrange multipliers.
Chapter 4: Integration (Riemann integral) in several variables; important theorems (Fubini, change of coordinates); path and surface integrals.