Main Page     Information on the Institution     Degree Programs     General Information for Students     Türkçe  


 Associate's Degree (Short Cycle)

 Bachelor’s Degree (First Cycle)

 Master’s Degree (Second Cycle)

  Course Description
Course Name : Mathematics for Engineers

Course Code : J 215

Course Type : Compulsory

Level of Course : First Cycle

Year of Study : 2

Course Semester : Fall (16 Weeks)

ECTS : 3

Name of Lecturer(s) : Assoc.Prof.Dr. KAMURAN TARIM GÖZÜBATIK

Learning Outcomes of the Course : Calculates the partial derivatives.
Calculates the double integral over a planar area and the trple integral over a region of corporal.
Makes physical applications such as volume, center of gravity or inertia moment of an object with the help of multiple integral.
Explains solution techniques of I.and II. differential equations and finds out the age of fossils by using radiocarbon.
Solves some engineering problems such as increase and decrease, mixture and temperature problems.

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : To teach the mathematical background for basic engineering and geological courses, the introduction of differential equations,the solution implementations and the engineering applications.

Course Contents : Limits, derivatives, integrals, diferential equations and solution implementations.

Language of Instruction : Turkish

Work Place : Classroom.

  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Descriptions of functions of several variables, limits and continuity. Reading the related subject (pages 849-856; 858-863) Lecture
2 Partial derivatives and applications Reading the related subject (pages 863-869) Lecture
3 Definite integral over a planar area at the vertical coordinates Reading the related subject (pages 943-952; 953-960) Lecture
4 Definite integral over a planar area at the polar coordinates Reading the related subject (pages 968-972) Lecture
5 Definite integral over an object at the cylindiric and spherical coordinates Reading the related subject (pages Lecture
6 Solution methods of Separeble and homogeneous Diferential equations Reading the related subject (pages 976-984) Lecture
7 Solution methods of exact differential equations Reading the related subject (pages 52-62) Lecture
8 Mid-term exam Exam preparation Written exam
9 Solution methods of Linear and Bernoulli differential equations Reading the related subject (pages 46-52) Lecture
10 Physical and engineeing applications of differential equations of the first order. Reading the related subject (chapter problems ) Lecture
11 Higher order of differential equations I Reading the related subject (pages 98-100) Lecture
12 Solution methods of differential equations of the III. order. Reading the related subject (pages 112-118) Lecture
13 Methods of undetermined coefficient Reading the related subject (pages 118-122) Lecture
14 Physical and engineeing applications of differential equations of the II. order. Reading the related subject (chapter problems ) Lecture
15 Application examples Reading the related subject (chapter problems ) Lecture
16/17 Final exam Exam Preparation Written exam

  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  Calculus ve Analitik Geometri II. Cilt, SHERMAN K. STEIN, ANTHONY McGraw-Hill Inc., London, U.K., 1992
 Theory of differntial equations, Prof.Dr. Elman HASANOV, Prof.Dr. Gökhan UZGÖREN, Prof.Dr. Alinur BÜYÜKAKSOY, 2002 (In Turkish).
 Schaum’s Outline Differansiyel Equations, McGraw-Hill Inc., London, U.K., 1992.
Required Course Material(s)  General Mathematics, Prof.Dr. Mustafa BALCI, (In Turkish) 2008.
 Analize Giriş II, Prof.Dr.Fikri AKDENİZ, Prof.Dr. Yusuf ÜNLÜ, Prof.Dr. Doğan DÖNMEZ, Baki Kitabevi 1999 (In Turkish)

  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 100
    Homeworks/Projects/Others 0 0
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 2
3 Uses the information technology effectively. 3
4 Designs and performs experiments, collects data and interprets the results. 2
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. 4
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. 4
11 Has an awareness of entrepreneuring and innovative subjects; knows and finds solutions for the new century 0
12 Identifies, formulizes and solves geological problems. 3
13 Realizes the social effects of identified solutions for geological problems. 1
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 4
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) 13 2 26
    Out of Class Study (Preliminary Work, Practice) 13 1 13
Assesment Related Works
    Homeworks, Projects, Others 0 0 0
    Mid-term Exams (Written, Oral, etc.) 1 15 15
    Final Exam 1 15 15
Total Workload: 69
Total Workload / 25 (h): 2.76
ECTS Credit: 3