- •1.1 Aims of studying the subject
- •1.2 Tasks of studying the subject
- •1.3 The place of the subject in the structure of the study programme
- •2. Requirements for preparedness (competencies) of students “at the entry” and at the end of the study of a subject (pre-requisites and post-requisites)
- •3.1 Thematic plan of modules
- •3.2 Themes of course works (projects)
- •3.3. Topics and tasks for student’s independent work
- •3.3.1 Topics and questions for student’s individual work with teacher
- •3.3.2 Themes and tasks for siw
- •4. Brief organizational and methodological description (basic forms and methods of training and control of educational achievement, teacher’s requirements, policies and procedures of the course):
- •4.1 Teaching methods - active and interactive methods of teaching;
- •4.3 Requirements of the teacher:
- •4.4 Policies and procedures of the course:
- •Estimation system of the results of student’s learning achievements
- •6. The list of recommended literature Basic literature
- •Additional literature
3.2 Themes of course works (projects)
3.3. Topics and tasks for student’s independent work
3.3.1 Topics and questions for student’s individual work with teacher
Module 1. Indefinite integral of a function of one variable. Methods of calculating of indefinite integrals.
Integration by substitution.
Integration by Parts.
Integration by Partial Fractions.
Integration by Multiple Techniques
Module 2. Definite integral of a function of one variable. Methods of calculating of definite integrals.
Area under a curve.
Volume of a solide.
Arc length.
From density to mass.
Work done by a varying force.
3.3.2 Themes and tasks for siw
No. of the themes of lectures |
Tasks for SIW |
Literature |
Form of control tasks |
Periods of protection |
Module 1. Indefinite integral of a function of one variable. Methods of calculating of indefinite integrals. |
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1-7 |
Glossary -7-10 definitions |
1, 2 (m) 1,2 (a) |
Report |
2nd week
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3 |
Solvingtasks using Integration by Parts |
1, 2 (m) 1,2 (a) |
Presentation |
4th week
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5 |
Solvingtasksusing integration trigonometric functions |
1, 2 (m) 1,2 (a) |
File |
6th week |
6 |
Integration of irrational functions. |
1, 2 (m) 1,2 (a) |
File |
7th week |
1-7 |
1st midterm control for the 1st module |
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Colloquium/ oral quiz/ written work |
7th week |
Module 2. Definite integral of a function of one variable. Methods of calculating of definite integrals. |
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8 |
Solvingtasks reducible to the concept of a definite integral. |
2,3 (m) 1,2 (a) |
File |
9th week |
9 |
Solvingtasks use method of replacing the variable |
2,3 (m) 1,2 (a) |
File |
10th week |
11 |
Find the area of a plane figure solving task |
2, 3 (m) 1,2 (a) |
Presentation |
12th week |
12 |
Length of a Plane Curve |
2, 3 (m) 1,2 (a) |
Length of a Plane Curve |
13th week |
15-30 |
2nd midterm control |
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15th week |
3.4 Schedule of performing and protection of assignments
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Months |
February |
March |
April |
May |
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Date |
01.02.-05.02 |
08.02.-12.02 |
15.02.-19.02 |
22.02.26.02 |
29.02-04.03 |
07.03.-11.04 |
14.03.-18.3 |
21.03.-25.03 |
28.02.-01.04 |
04.04.-08.04 |
11.04.-15.04 |
18.04—22.04 |
25.04.-29.04 |
02.05.-06.05 |
09.05-13.05 |
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Tasks \ Weeks |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
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Placement test |
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Lectures |
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Practicalclasses |
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SIW 1 |
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SIW 2 |
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SIW 3 |
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SIW4 |
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Midterm points |
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1 |
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2 |
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3 |
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4 |
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5 |
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6 |
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Midterm control |
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100 |
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100 |
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Assessment in per cent |
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100 |
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100 |
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100 |
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100 |
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100 |
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100 |
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Assessment in scores |
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10 |
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20 |
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30 |
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40 |
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50 |
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60 |
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