Course Information
Course Title Code Semester T + P ECTS
Mathematics II (Engineering) MAT182 2 4 + 0 6

Prerequisites None

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assoc.Prof. GÜLNİHAL MERAL
Instructors Assoc.Prof. GÜLNİHAL MERAL, Assoc.Prof. YUSUF KAYA, Assist.Prof. YÜKSEL SOYKAN, Assist.Prof. MUSTAFA YILDIZ, Assist.Prof. SEDAT ÇEVİKEL, Assist.Prof. ZEKERİYA USTAOĞLU, Assist.Prof. MELİH GÖCEN
Goals To introduce definite and indefinite integrals, to show fundamental formulas and methods for integration, to apply the integration techniques to science and engineering, to investigate sequence, series and their convergence, to introduce parametric curves and polar coordinates.
Contents Definite Integral, Fundamental Theorem of Calculus, Indefinite integral, Basic Integration Formulas, Integration Techniques, trigonometric Integrals, Improper Integrals, Application of definite Integrals: Area, volume, surface area, length of a curve, Center of Mass,Sequence and Series,Convergence of Sequences and Series, Convergence Tests for Series, Power Series and Radius of Convergence, Taylor Formula, Parametric Curves and Polar coordinates, Area and Length in Polar Coordinates.
Work Placement(s) Absent

Number Learning Outcomes
1 He/she is familiar with the definite and indefinite integral concepts.
2 He/she knows the basic integration rules and methods.
3 He/she can apply the integration techniques that he/she knows to science and engineering.
4 He/she knows sequence and series and can examine their convergence.
5 He/she knows the polar coordinates.

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lecture, question-answer, exercises and applications, problem solving.
Assessment Methods Midterm exam, quiz,final exam

Course Content
Week Topics Study Materials
1 Definite Integral
2 Fundamental theorem of Calculus
3 Indefinite Integral, Basic Integration Rules
4 Techniques of Integration (Change of Variables, Integration by Parts)
5 Techniques of Integration (Partial Fractions, Trigonometric transformations)
6 Trigonometric integrals
7 Improper Integrals of first kind
8 Improper Integrals of second kind
9 Midterm
10 Applications of Definite Integrals(Volume, Surface Area)
11 Applications of Definite Integrals(Length of a curve, Center of Mass, Work)
12 Sequences, Series
13 Convergence Tests for series, power series
14 Parametric curves and Polar Coordinates

Textbook Thomas GB. Jr. , Weir M. D., Hass J., Calculus 1, (Çeviri: Recep Korkmaz, English edition published by Addison Wesley, 2005) , Beta Basım A.Ş., İstanbul, 2009.
Additional Resources 1. Stewart J., Calculus (Diferensiyel ve İntegral hesap), TÜBA, Ankara, 2007. 2. Balcı, M. Genel Matematik, Balcı Yayınları, Ankara, 2008. 3. Kadıoğlu, E, Kamali, M., Genel Matematik, Erzurum, 2005. 4. Adams R. A., Calculus: a complete course, Addison Wesley Longman, Toronto,2003.

Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 100
In-Term Total 1 100
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 principal knowledge about Math, Science and Engineering subjects related to their own branches.
2 Uses Math, Science and theoretical and practical knowledge of their own areas to find solutions for current engineering problems.
3 Identifies, formulates and solves engineering problems, for that purpose, selects and applies appropriate analytical methods and modeling techniques.
4 Analyzes a system, a component, or a process, designs under realistic constraints to meet the desired requirements; implements the methods of modern design accordingly.
5 Selects and uses modern techniques and tools necessary for engineering applications.
6 Designs and performs experiments, collects data, analyzes and interprets the results. Finds solutions to problems in the fields of medicine and biology using engineering techniques.
7 Works effectively as an individual and multidisciplinary teams.
8 Collects information and does research of resources for this purpose, uses databases and other information resources.
9 Is aware of necessity of lifelong learning; monitors developments in science and technology and continuously renews himself/herself.
10 Uses informatics and communication technology with computer software that is minimum required by the European Computer Driving Licence Advanced Level.
11 Communicates effectively verbal and written, uses at least one foreign language at B1 level of European Language Portfolio.
12 Is aware of universal and social effects of engineering solutions and applications, Is aware of entrepreneurship and innovation and has knowledge of contemporary issues.
13 Has principal knowledge about professional and ethical responsibility.
14 Holds awareness about project management, workplace practices, employee health, environmental and occupational safety; and about the legal implications of engineering applications.
15 Trains individuals to be preferred in biomedical industry by national and international institutions and have the qualification of hardware.
16 Provides training and consulting services to improve the quality and reliability in the use of technology in hospitals in the field of clinical engineering.
17 Provides consulting and technical support services to hospitals, health organizations and medical technology manufacturers/sellers.

Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 4 56
Hours for off-the-classroom study (Pre-study, practice) 14 4 56
Mid-terms 1 25 25
Final examination 1 30 30
Total Work Load (h) 167
Total Work Load / 30 (h) 5.57
ECTS Credit of the Course 6