Course Information
Course Title Code Semester T + P ECTS
Engineering Mathematics II INS218 4 3 + 1 4

Prerequisites absent

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assist.Prof. SADRİ ŞENSOY
Instructors Assist.Prof. SADRİ ŞENSOY
Goals learning to use integration and partial derivatives in multivariable functions. Improving to use mathematical skills in solving engineering problems
Contents Multivariable functions and partial derivatives. Multiple integrals. Center of mass and moment of inertia. Double integrals and volume calculation. Variable substitution and polar coordinates. Triple integrals and their applications
Work Placement(s) Absent

Number Learning Outcomes
1 scalar and vector multiplication in three dimensional spaces.
2 Limit and continuity in multivariable functions
3 Partial derivatives
4 Multiple integrals
5 Area and volume calculations

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods in class teaching and homeworks
Assessment Methods midterm and final



Course Content
Week Topics Study Materials
1 Vector spaces. vectors
2 Vector spaces. vectors
3 Multivariable functions. basic functions
4 Partial derivatives. rules of derivative
5 Partial derivatives. rules of derivative
6 Linearization and error calculation knowledge of derivative
7 Lagrange multipliers. rules of derivative
8 extrema problems. applications of derivative
9 Double integrals. basic integrals
10 Applications of double integrals integrals
11 Triple integrals. integrals
12 Triple integrals. endurance
13 Triple integrals. calculation fo center of mass
14 Triple integrals. volume calculations



Sources
Textbook G.B Thomas,R.l.Finney, Thomas Calculus 10 th edition Addison Wesley
Additional Resources



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 80
Quizzes 1 10
Assignments 1 10
In-Term Total 3 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Has the sufficient background on mathematics, science and engineering in his own branch. x
2 Makes use of conceptual and applied knowledge in mathematics, science and in his own area in accordance for engineering solutions. x
3 Determines, defines, formulates and solves problems in engineering; fort his aim selects and applies the appropriate analytical models and modeling techniques. x
4 Analyses a system, system component or process and in order to meet the requirements, designs under realistic conditions; thus applies modern techniques of design. x
5 Selects and uses modern techniques and devices necessary for engineering applications. x
6 Designs and carries out experiments, collects data, analyzes and comments on the findings. x
7 Works effectively and individually on multi disciplinary teams. x
8 Accesses knowledge, and to do this, does research, uses databases and other data sources. x
9 Is aware of the importance of lifelong learning; follows advances in science and technology and updates his knowledge continuously. x
10 Uses communication and information technology at least at advanced level of European Computer Driving License. x
11 Communicates effectively both orally and in writing; uses a foreign language at least at B1 level of European Language Portfolio. x



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 4 56
Hours for off-the-classroom study (Pre-study, practice) 14 2 28
Assignments 5 3 15
Mid-terms 1 3 3
Final examination 1 3 3
Total Work Load (h) 105
Total Work Load / 30 (h) 3.5
ECTS Credit of the Course 4