Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MBT1003	1	Calculus III	4/0/0	BSC	Turkish	7

Course Goals	To present the fundamental concepts of multivariable calculus and to develop student understanding and skills in the topic necessary for its applications to science and engineering.
Prerequisite(s)	None
Corequisite(s)	None
Special Requisite(s)	None
Instructor(s)	Professor Emel Yavuz, Professor Tunç Mısırlıoğlu
Course Assistant(s)
Schedule	Pazartesi 11:00 - 12:45; Thursday 11:00 - 12:45
Office Hour(s)	Wednesday 13:00-15:00 IKU-CATS
Teaching Methods and Techniques	-Lectures and recitations.
Principle Sources	Kalkülüs: Eksiksiz Bir Ders, Robert A. Adams and Christopher Essex, 7. Baskıdan Çeviri, Cilt II, Palme Yayıncılık, 2015.
Other Sources

Course Schedules
Week	Contents	Learning Methods
1. Week	10. Vectors and Coordinate Geometry in 3-Space 10.1 Analytic Geometry in Three Dimensions 10.2 Vectors	Oral presentations
2. Week	10.3 The Cross Product in 3-Space 10.4 Planes and Lines	Oral presentations
3. Week	12. Partial Differentiation 12.1 Functions of Several Variables 12.2 Limits and Continuity	Oral presentations
4. Week	12.3 Partial Derivatives 12.4 High-Order Derivatives	Oral presentations
5. Week	12.5 The Chain Rule 12.7 Gradients and Directional Derivatives	Oral presentations
6. Week	12.8 Implicit Functions	Oral presentations
7. Week	13. Applications of Partial Derivatives 13.1 Extreme Values	Oral presentations
8. Week	13.2 Extreme Values of Functions Defined on Restricted Domains 13.3 Lagrange Multipliers MIDTERM EXAM	Oral presentations and Midterm Exam
9. Week	14. Multiple Integrals 14.1 Double Integrals 14.2 Iteration of Double Integrals in Cartesian Coordinates	Oral presentations
10. Week	14.4 Double Integrals in Polar Coordinates	Oral presentations
11. Week	14.5 Triple Integrals	Oral presentations
12. Week	14.6 Change of Variable in Triple Integrals	Oral presentations
13. Week	15. Vector Fields 15.1 Vector and Scalar Fields 15.2 Conservative Fields	Oral presentations
14. Week	15.3 Line Integrals 15.4 Line Integrals of Vector Fields	Oral presentations
15. Week	Final Exams	Writing Examination
16. Week	Final Exams	Writing Examination
17. Week	Final Exams	Writing Examination

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	40
Homework / Term Projects / Presentations	10	20
Final Exam	1	40

Program Outcomes PO-1 Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science. PO-2 Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science. PO-3 Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence. PO-4 Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline. PO-5 Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science. PO-6 Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish. PO-7 Using time effectively in inventing solutions by implementing analytical thinking. PO-8 Understanding professional ethics and responsibilities. PO-9 Having the ability to behave independently, to take initiative, and to be creative. PO-10 Understanding the importance of lifelong learning and developing professional skills continuously. PO-11 Using professional knowledge for the benefit of the society.

Learning Outcomes LO-1 Manipulate vectors to perform geometrical calculations in three dimensions. LO-2 Calculate and interpret derivatives of multivariable functions. LO-3 Calculate the maximum and minimum values of the multivariable functions. LO-4 Integrate functions of several variables over curves and surfaces. LO-5 Use Green’s theorem to compute integrals.

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11
LO 1
LO 2
LO 3
LO 4
LO 5