Course objectives:
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The purpose of this course is better understanding of the following areas : Integral calculus in R1, differential calculus in Rn, differential equations and their application.
The course is recommended for KMA/ZM2.
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Requirements on student
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It is necessary to obtain at least 50% points in final test.
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Content
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1. Matrix.
2. Determinants.
3. Inverse matrix. Cramer's rule.
4. Techniques of integration, substitution, integration by parts.
5. Applications of integral calculus.
6. Grow/Decay equation.
7. Techniques for linear differential equation .
8. Sequences.
9. Difference of a sequence, difference of higher orders. Difference equation.
10. Linear difference equation.
11. Partial derivation and gradient.
12. Extremes of functions of multiple variables.
13. Resume, conclusion.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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26
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Preparation for comprehensive test (10-40)
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18
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Preparation for formative assessments (2-20)
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10
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Total
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54
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
There is no prerequisite for this course. Students should be familiar with basic notions of the course KMA/ZM1. |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
use solution techniques from the course KMA/ZM1 |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
of integral calculus in R |
of basic elements of differential calculus in Rn (partial derivatives, optimization problems) |
of basic notions from the theory of ordinary differential equations |
Skills - skills resulting from the course: |
to use basic integration techniques (integration by parts, by substitution) |
to solve elementary differential equations of the 1st and 2st order |
to solve basic optimization problems |
Competences - competences resulting from the course: |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Skills demonstration during practicum |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Competences - competence achieved by taking this course are verified by the following means: |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
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