SubjectsSubjects(version: 945)
Course, academic year 2016/2017
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Applied mathematics II - NMAF072
Title: Aplikovaná matematika II
Guaranteed by: Department of Condensed Matter Physics (32-KFKL)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016 to 2016
Semester: summer
E-Credits: 7
Hours per week, examination: summer s.:3/3, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. RNDr. Mirko Rokyta, CSc.
Annotation -
Last update: T_KFES (16.02.2017)
Series. Differential and integral calculus in more than 1 variable. The line and surface integrals, basics on vector analysis. Gauss and Stokes theorems.
Syllabus -
Last update: Mgr. Kateřina Mikšová (16.02.2017)

• Linear vector spaces

• Matrices and determinants, systems of linear equations, Gauss elimination, Cramer rule

• Bilinear and quadratic forms.

• Calculus in more than one variable, metric spaces, limits and continuity

• Partial derivatives and total differential, grad, div, rot

• Integration in more than 1D, Fubini theorem, substitution theorem.

• Exchange of limit and integral, and of derivative and integral.

 
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