Flervariabelanalys (Multivariable Calculus) 6 hp

Undervisningen bedrivs på engelska.

The course focuses on the basic theory of functions of several variables. It introduces the basic notions and techniques in the differential and integral calculus in two and three space dimensions. Some applications in geometry and physics are also given.

Kursinnehåll

The course includes the following topics:

• Functions of several variables, domains, graphs and level curves/surfaces
• Limits and continuity
• Partial derivatives, directional derivatives, differentiability and tangent planes, the chain rule
• Local and global extremes; optimization under constraints
• Double and triple integrals, Fubini’s theorem and change of variables
• Basics about vector fields; conservative fields and their potentials
• Line- and flux integrals, Greens and Gauss divergence theorems

Förkunskapskrav

Grundläggande behörighet samt genomgången kurs i Envariabelanalys, 6 hp.

Urvalsregler

Grundkurs
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Utbildningsnivå: Grundnivå G1F
Kurskod/Ladokkod: TFVK14
Kursen ges vid: Tekniska Högskolan