Subject

Calculus 2

Course Title

Calculus 2
Calculus 2

Code

F23L2S034

Study Programme

Computer Engineering, Computer Science

Organizer of the study programme (unit, institute, department or division)

Faculty of Computer Science and Engineering

Degree level (first, second, third cycle)

First Cycle

Academic year / semester

2 / Summer

Number of ECTS credits

Teacher

Alexandra Popovska Mitrović, Metodija Jancevski, Verica Bakeva, Vesna Dimitrievska Ristovska, Vesna Dimitrova

Prerequisites for enrolling in the course

—

10.

Objectives of the course programme (competences)

The course is a support course and is necessary for introducing the concepts of integrals, applications of integrals, sequences, and series, which are required in some upper-level courses.

11.

Course content

Integration: indefinite integral, integration by substitution. Definite integral. Fundamental theorem of calculus. Integration techniques: partial integration, trigonometric integrals, trigonometric substitutions, integration of fractional-rational functions. Application of integrals to calculate: area, volume, arc length, area of a rotational surface. Series and sequences. Differential equations: solving equations with separable variables, linear differential equations of the first order, homogeneous and nonhomogeneous linear differential equations of the second order.

12.

Learning methods

Lectures using presentations, interactive lectures, exercises (using equipment and software packages), teamwork, case studies, guest lecturers, independent preparation and defense of a project assignment and a seminar paper.

13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of available time

45 + 45 + 10 + 0 + 80 = 180 hours

15.

Forms of teaching activities

15.1.	Lectures - theoretical instruction	45 hours
15.2.	Exercises (laboratory, auditory), seminars, teamwork	45 hours

16.

Other forms of activities

16.1.	Project assignments	0 hours
16.2.	Independent assignments	10 hours
16.3.	Home study	80 hours

17.

Assessment method

17.1.	Tests	0 points
17.2.	Seminar paper / project (presentation: written and oral)	0 points
17.3.	Activities and learning	0 points
17.4.	Final exam	100 points

18.

Grading criteria (points / grade)

up to 50 points	5 (five) (F)
from 51 to 60 points	6 (six) (E)
from 61 to 70 points	7 (seven) (D)
from 71 to 80 points	8 (eight) (C)
from 81 to 90 points	9 (nine) (B)
from 91 to 100 points	10 (ten) (A)

19.

Requirement for obtaining a signature and taking the final exam

Activities 15.2 and 16.1 have been completed.

20.

Language of instruction

Macedonian and English

21.

Method for monitoring the quality of teaching

internal evaluation and survey mechanism

22.

Literature

22.1.	Required literature 1. H. Anton, I. Bivens, S. Davis \| Calculus \| John Wiley & Sons, Inc. \| 2012
22.2.	Additional literature No. Author Title Publisher Year