Aim of this course is to teach several variables functions, their properties and applications
Prerequisite(s)
-
Corequisite(s)
-
Special Requisite(s)
-
Instructor(s)
Professor R. 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
-Oral presentation, demonstratation, discussion
Principle Sources
-Calculus: A. Complete Course, Robert A. Adams, 7th(or 6th) edition, Pearson Pb., 2006
Other Sources
-
Thomas’ Calculus, George B. Thomas, 10th edition, Pearson Pb., 2000 Calculus, James Stewart, 4th edition, Brooks/Cole Pb., 199
Course Schedules
Week
Contents
Learning Methods
1. Week
Function of several variables, graphs, limits and continuity
oral presentation,case study
2. Week
Partial derivatives, tangent planes and normal lines, Higher - order derivatives, the chain rule, homogenous functions, Lineer Approximations
oral presantation,case study
3. Week
Gradient and directional derivatives, Taylor series and approximations
oral presantation,case study
4. Week
Extreme values
oral presantation,case study
5. Week
Double integrals, iteration in double integrals
oral presantation,case study
6. Week
change of variables in double integral
oral presantation,case study
7. Week
1st Midterm Exam
writing exam
8. Week
Triple integrals, change of variables in triple integrals
oral presantation,case study
9. Week
Vector and scalar fields
oral presantation,case study
10. Week
Line integrals
oral presantation,case study
11. Week
Green's theorem in the plane
oral presantation,case study
12. Week
2nd midterm exam
writing exam
13. Week
the Divergence Theorem in 3-Space
oral presantation,case study
14. Week
Stokes's theorem
oral presantation,case study
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
2
60
Final Exam
1
40
Program Outcomes
PO-1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
PO-2
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
PO-3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
PO-4
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language.
PO-8
Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO-9
Awareness of professional and ethical responsibility.
PO-10
Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
PO-11
Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO-1
students should be able to learn the definition of the several variables functions, properties of them and their graphs
LO-2
student should be able to learn partial derivatives of several variables functions and their applications
LO-3
students should be able to learn double integralsand their applications
LO-4
students should be able to learn triple integrals and their applications
LO-5
student should be able to learn line integrals and their applications
