NMAB13 Mathematical Analysis II, 15 ECTS-points
/MATEMATISK ANALYS II/

Advancement level:
B

Aim:
To give the priciples of several-variable analysis and vector analysis.

Prerequisites:
NMAA13 Mathematical Analysis I. NMAA12 Linear Algebra should be taken in parallel.

Course organization:
Lectures and problem classes.

Course content:
Functions of several variables. Limits. Continuity. Differential calculus. Implicit functions. Optimization. Curvature and torsion. Potential function and exact differential. Surface integrals. Gauss' theorem. Stokes' theorem.

Course literature:
ersson, Böiers: Analys i flera variabler. Vektoranalysproblem. Alternativt (vid distansstudier): Eriksson, F: Flerdimensionell analys.

UPG1One written theory examination
TEN1One written final examination
Course language is Swedish.