Selected Topics in Mathematical Analysis     ZS 2017/2018

Course: 470-4116/04: Selected Parts of Mathematical Anlysis   (VPzMA)
Guarant: Petr Vodstrčil
Credits: 5 credits (2/2/0/0/0)
Academic year: 2017/2018

Outline of the course is in the Edison system. The topics include differential calculus in two and more-variables, integral calculus in more-variables, and differential equations.

Topics

1. Multi-variable real functions
2. Partial and directional derivatives, differential and gradient
3. Taylor's theorem
4. Extremes of more-variable real functions
5. Definition of Riemann double integral, basic properties, Fubini theorems for double integral
6. Transformation of double integral, aplications of double integral
7. Definition of Riemann triple integral, basic properties, Fubini theorems for triple integral
8. Transformation of triple integral, aplications of triple integral
9. Linear differential equations.Differential calculus in two and more-variables

Credit

To receive credit (zápočet) you need at least 10 points from the activities:

• 2 midterms, up to 12 points each,
• 1 project, up to 6 points.

Projects

Topics for the academic year WF 2017/2018 are under preparation. Your instructor for discussion sessions will administer the projects.

Office Hours

See my czech page.

Petr<dot>Kovar<at>vsb<dot>cz phone ++420 / 597 325 972

Last update: 05.09.2017