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Applied Mathematics I - NCHF071

Title:	Aplikovaná matematika I
Guaranteed by:	Department of Condensed Matter Physics (32-KFKL)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter 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, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. PhDr. RNDr. Josef Stráský, Ph.D. prof. RNDr. Josef Málek, CSc., DSc.
In complex pre-requisite:	MC260P01M, MZ370P19
Is complex co-requisite for:	MC260P112, MC260P28

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: doc. RNDr. Karel Houfek, Ph.D. (02.05.2023)

The first semester of four-semester courses on Applied Mathematics. Functions of one real variable. Limits, derivatives and integrals and their applications.

Course completion requirements -

Last update: doc. PhDr. RNDr. Josef Stráský, Ph.D. (03.05.2023)

Final examination (written and oral) takes place during the examination period and students must first obtain the credit for practical exercises. Credit for exercises is based on the solution of take-home problems (34%) and two tests (midterm and final, each 33%).

Literature -

Last update: doc. RNDr. Karel Houfek, Ph.D. (02.05.2023)

L. Sadun: The Six Pillars of Calculus: Biology Edition, AMS Press, 2023.

J. Callahan, K. Hoffman, D. Cox, D. O’Shea, H. Pollatsek, L. Senechal: Calculus in Context, Five Colleges, Inc., 2008.

G. Strang: Calculus, MIT, Wellesley-Cambridge Press.

I. Černý, M. Rokyta: Differential and Integral Calculus of One Real Variable, Karolinum, Praha, 1998.

T. Apostol: Mathematical Analysis, Addison-Wesley, 1974.

M. Gianquinta, G. Modica: Mathematical analysis: Functions of one variable, Birkhäuser, 2003.

S. Abbott: Understanding analysis, Second edition. Springer, New York, 2015.

Lecture notes, materials for practical exercises.

Requirements to the exam -

Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2023)

The requirements for the exam correspond to the course syllabus to the extent that was covered in the lectures and exercises.

Syllabus -

Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2023)

Introduction.

Limits, continuity, derivatives.

Antiderivatives.

Properties of continuous and differentiable functions.

Riemann integral.