ENS297 Calculus

Faculty of Social Studies
Autumn 2017
Extent and Intensity
2/0/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Paulína Kerpnerová (assistant)
Ing. Zbyněk Ulčák, Ph.D. (assistant)
Guaranteed by
doc. Mgr. Petr Hasil, Ph.D.
Department of Environmental Studies – Faculty of Social Studies
Contact Person: Ing. Zbyněk Ulčák, Ph.D.
Supplier department: Department of Environmental Studies – Faculty of Social Studies
Prerequisites
SOUHLAS
High school mathematics
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 1 student(s).
Current registration and enrolment status: enrolled: 0/1, only registered: 0/1, only registered with preference (fields directly associated with the programme): 0/1
fields of study / plans the course is directly associated with
there are 9 fields of study the course is directly associated with, display
Course objectives
The content is the differential and integral calculus of functions of one real variable together with basic notions concerning vectors, matrices, determinants, and systems of algebraic equations. Students will understand theoretical and practical methods of differential and integral calculus of functions of one variable and will able to apply these methods to concrete problems.
Learning outcomes
At the end of the course students will be able to:
solve systems of algebraic equations using matrices and determinants;
define and interpret the basic notions from the calculus of functions of one real variable;
analyse problems from the topics of the course;
understand to theoretical and practical methods of calculus of functions of one variable;
apply the methods of calculus to concrete problems.
Syllabus
  • 1. Linear algebra:
  • a. Vectors
  • b. Matrices and determinants
  • c. Systems of linear equations
  • 2. Differential calculus
  • a. Elementary functions of one variable and their graphs
  • b. Limit and continuity
  • c. Derivatives, rules for differentiation, higher-order derivatives
  • d. Extrema, concavity and inflection points, asymptotes, applications
  • 3. Integral calculus
  • a. Indefinite integral
  • b. Techniques of integration
  • c. Definite integral
  • d. Applications of integrals
Literature
  • Hughes-Hallett, Gleason, McCallum et al.: Calculus - single and multivariable, 2013, Wiley, 1219 p., ISBN 978-0470-88861-2.
  • ADAMS, R. A. and Christopher ESSEX. Calculus : a complete course. 7th ed. Toronto: Pearson. xvi, 973. ISBN 9780321549280. 2010. info
  • ANTON, Howard and Chris RORRES. Elementary linear algebra : applications version. 8th ed. Hoboken, N.J.: John Wiley & Sons. xvi, 822. ISBN 0471170526. 2000. info
  • BRAND, Louis. Advanced calculus : an introduction to classical analysis. New York: John Wiley & Sons. x, 574. 1955. info
Teaching methods
Teaching in blocks, consultations, and homework
Assessment methods
4 homework assignments, 10 points each (together 40% of the overall evaluations), min. 20 points to proceed to the final exam.
Final written test + oral exam for verification = 60 points (60% of the overall evaluations).
To pass = 50%.
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught only once.
The course is taught: in blocks.
Information on course enrolment limitations: pouze pro studenta ISEP
  • Enrolment Statistics (recent)
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