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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.

  1. Integration by substitution.

  2. Integration by Parts.

  3. Integration by Partial Fractions.

  4. Integration by Multiple Techniques

Module 2. Definite integral of a function of one variable. Methods of calculating of definite integrals.

  1. Area under a curve.

  2. Volume of a solide.

  3. Arc length.

  4. From density to mass.

  5. 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.

1-7

Glossary -7-10 definitions

1, 2 (m)

1,2 (a)

Report

2nd week

3

Solvingtasks using Integration by Parts

1, 2 (m)

1,2 (a)

Presentation

4th week

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

Colloquium/ oral quiz/ written work

7th week

Module 2. Definite integral of a function of one variable. Methods of calculating of definite integrals.

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

15th week

3.4 Schedule of performing and protection of assignments

Months

February

March

April

May

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

Tasks \ Weeks

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Placement test

*

Lectures

*

*

*

*

*

*

Practicalclasses

*

*

*

*

*

*

*

*

*

*

SIW 1

 

 

 *

 

 

 

 

 

 

 

 

 

 

 

 

SIW 2

 

 

 

 

 *

 

 *

 

 

 

 

 

 

 

 

SIW 3

 

 

 

 

 

 

 

 *

 

 *

 

 

 

 

SIW4

*

*

Midterm points

 

 

1

 

2

 

3

 

 

4

 

 

5

 

6

Midterm control

100

100

Assessment in per cent

 

 

100

 

100

 

100

 

 

100

 

 

100

 

100

Assessment in scores

 

 

10

 

20

 

30

 

 

40

 

 

50

 

60