
Course Description 

Course Name 
: 
Mathematics 2 

Course Code 
: 
JZ 108 

Course Type 
: 
Compulsory 

Level of Course 
: 
First Cycle 

Year of Study 
: 
1 

Course Semester 
: 
Spring (16 Weeks) 

ECTS 
: 
3 

Name of Lecturer(s) 
: 
Assoc.Prof.Dr. PERİHAN DİNÇ ARTUT 

Learning Outcomes of the Course 
: 
Converts the equations of the curves from vertical coordinates to polar coordinates and draws the graphs of some special curves in polar coordinates. Understands the concept of integral is the inverse of the derivative.Finds area, volume and the center of mass by using integral. Calculates generalized integrals.


Mode of Delivery 
: 
FacetoFace 

Prerequisites and CoPrerequisites 
: 
None 

Recommended Optional Programme Components 
: 
None 

Aim(s) of Course 
: 
To teach the basic engineering courses and vocational courses in Geological Engineering mathematical infrastructure required for the win. 

Course Contents 
: 
Coordinate systems, integral and trigonometric functions. 

Language of Instruction 
: 
Turkish 

Work Place 
: 
Faculty lecture hall and department lecture rooms. 


Course Outline /Schedule (Weekly) Planned Learning Activities 
 Week  Subject  Student's Preliminary Work  Learning Activities and Teaching Methods 

1 
Polar coordinates, graphs of some special curves 
Read the relevant chapter in the book and discussion 
Lecture 

2 
Definition of the indefinite integral, computing indefinite integrals 
Read the relevant chapter in the book and discussion 
Lecture 

3 
Substitution rule, integration by parts 
Read the relevant chapter in the book and discussion 
Lecture 

4 
Integration by partial fractions 
Read the relevant chapter in the book and discussion 
Lecture 

5 
Trigonometric integrals 
Read the relevant chapter in the book and discussion 
Lecture 

6 
Integration by trigonometric transformation 
Read the relevant chapter in the book and discussion 
Lecture 

7 
Definite integral 
Read the relevant chapter in the book and discussion 
Lecture 

8 
Midterm exam 
Midterm exam Preparation 
Written exam 

9 
Calculating the area and volume by using definite integrals 
Read the relevant chapter in the book and discussion 
Lecture 

10 
Finding arc length and surface area by the use of definite integrals 
Read the relevant chapter in the book and discussion 
Lecture 

11 
Finding the coordinates of the center of mass 
Read the relevant chapter in the book and discussion 
Lecture 

12 
Pappus´s theorem and its application 
Read the relevant chapter in the book and discussion 
Lecture 

13 
Generalized integral 
Read the relevant chapter in the book and discussion 
Lecture 

14 
Generalized integral 
Read the relevant chapter in the book and discussion 
Lecture 

15 
Final exam 
Final exam preparation 
Written exam 



Required Course Resources 
 Resource Type  Resource Name 
 Recommended Course Material(s) 
Calculus ve Analitik Geometri I. Cilt, SHERMAN K. STEIN, ANTHONY McGrawHill Inc., London, U.K., 1992
Genel Matematik, Genel Matematik, Ekrem Kadıoğlu, Muhammet Kamali, Erzurum, 2005.
Genel Matematik, Prof.Dr. Mustafa BALCI, Balcı Yayınları, 2008.
Lecture notes

 
 Required Course Material(s)  



Assessment Methods and Assessment Criteria 

Semester/Year Assessments 
Number 
Contribution Percentage 

Midterm Exams (Written, Oral, etc.) 
1 
60 

Homeworks/Projects/Others 
0 
40 

Total 
100 

Rate of Semester/Year Assessments to Success 
40 


Final Assessments

100 

Rate of Final Assessments to Success

60 

Total 
100 


 Contribution of the Course to Key Learning Outcomes 
 #  Key Learning Outcome  Contribution* 

1 
Thinks, interprets, analyzes and synthesizes geological events in 3D. 
0 

2 
Chooses and applies necessary methods and instruments for engineering applications 
3 

3 
Uses the information technology effectively. 
2 

4 
Designs and performs experiments, collects data and interprets the results. 
0 

5 
Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups 
0 

6 
Investigates to obtain scientific information, and uses data bases and other data sources actively. 
0 

7 
Has an awareness of life long learning; follows developments in science and technology to keep up to date 
0 

8 
Uses Fundamental Geological information, having necessary information in Mathematical and Natural sciences and employs theoretical and applied information in these areas in engineering solutions. 
4 

9 
Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications 
0 

10 
Knows the universal and societal effects of engineering solutions and applications. 
1 

11 
Has an awareness of entrepreneuring and innovative subjects; knows and finds solutions for the new century 
3 

12 
Identifies, formulizes and solves geological problems. 
0 

13 
Realizes the social effects of identified solutions for geological problems. 
0 

14 
Identifies, defines, formulizes and solves engineering problems. Chooses and applies the appropriate analytical and modelling techniques for this purpose. 
4 

15 
Investigates and reports all kinds of natural resources and geological hazards 
0 

16 
Initiates effective interactions in Turkish both orally and in written form, and speaks at least one foreign language 
0 

17 
Uses necessary techniques and instruments for geological applications 
0 

18 
Identifies rock types, draws geological maps and cross sections. 
0 

19 
Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. 
0 
 * Contribution levels are between 0 (not) and 5 (maximum). 


 Student Workload  ECTS 
 Works  Number  Time (Hour)  Total Workload (Hour) 
 Course Related Works 

Class Time (Exam weeks are excluded) 
14 
2 
28 

Out of Class Study (Preliminary Work, Practice) 
14 
3 
42 
 Assesment Related Works 

Homeworks, Projects, Others 
0 
0 
0 

Midterm Exams (Written, Oral, etc.) 
1 
2 
2 

Final Exam 
1 
2 
2 

Total Workload:  74 
 Total Workload / 25 (h):  2.96 
 ECTS Credit:  3 


