# Department of Electrical and Electronics Engineering

Course Details

#### MAT 124 Mathematics II2017-2018 Summer term information

The course is open this term
Place Day Hours Supervisor(s): Nazife Erkurşun Özcan E8 Tuesday 09:00 - 11:45 E8 Wednesday 13:00 - 16:45 E8 Thursday 09:00 - 11:45 E8 Friday 14:00 - 17:45

Timing data are obtained using weekly schedule program tables. To make sure whether the course is cancelled or time-shifted for a specific week one should consult the supervisor and/or follow the announcements.

Course definition tables are extracted from the ECTS Course Catalog web site of Hacettepe University (http://akts.hacettepe.edu.tr) in real-time and displayed here. Please check the appropriate page on the original site against any technical problems.

MAT124 - MATHEMATICS II

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
MATHEMATICS II MAT124 2nd Semester 4 2 5 6
Prerequisite(s)
Course languageEnglish
Course typeMust
Mode of DeliveryFace-to-Face
Learning and teaching strategiesLecture
Discussion

Instructor (s)Instructors at the department of mathematics
Course objectiveThe aim of this course is to give an introductory course on basics of analysis, to teach limit, derivative, integral concepts of scalar and vector valued functions and their applications.
Learning outcomes
1. Knows conic sections and can graph conic sections.
2. Knows vectors, can take limit, derivative and integral of vector valued functions.
3. Calculates partial derivatives of functions.
4. Calculates multiple integrals and do applications of multiple integration.
Course ContentConic sections and Polar coordinates
Vectors and geometry of space
Vector valued functions
Partial derivatives
Multiple integrals
İntegrals in vector fields

ReferencesThomas, Calculus and Analytic Geometry, Addison-Wesley 1996.
Silverman R.A, Calculus with analytic geometry, Prentice-Hall Inc. 1985.
Balcı M., Temel ve Genel Matematik I& II, Balcı Yayınları 2000.

Course outline weekly

WeeksTopics
Week 1Conic sections
Week 2Polar coordinates
Week 3Graphing in polar coordinates, areas and lenghts in polar coordinates
Week 4Vectors-the dot product, the cross product, lines and planes in space
Week 5Vector valued functions-limit, derivative, integral
Week 6Midterm exam
Week 7Partial derivatives-Chain rule, directional derivatives
Week 8Gradient vectors, tangent planes and differentials, extreme values and saddle points, Lagrange multipliers
Week 9Multiple integrals-double, triple integrals
Week 10Multiple integrals ? area, volume
Week 11Midterm exam
Week 12Integration in vector fields-line integrals
Week 13Path independence, conservative Fields, potential functions
Week 14Integration in vector fields-surface integrals, Stokes? theorem, the Divergence theorem
Week 15Final preparation
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments00
Presentation00
Project00
Seminar00
Midterms250
Final exam150
Total100
Percentage of semester activities contributing grade succes250
Percentage of final exam contributing grade succes150
Total100

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 4 56
Laboratory 0 0 0
Application14228
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14456
Presentation / Seminar Preparation000
Project000
Homework assignment000
Midterms (Study duration)21224
Final Exam (Study duration) 11616

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. PO1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline.     X
2. PO2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions.    X
3. PO3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods.   X
4. PO4. Designs a system under realistic constraints using modern methods and tools.X
5. PO5. Designs and performs an experiment, analyzes and interprets the results. X
6. PO6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member. X
7. PO7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology. X
8. PO8. Performs project planning and time management, plans his/her career development.X
9. PO9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies. X
10. PO10. Is competent in oral or written communication; has advanced command of English.  X
11. PO11. Has an awareness of his/her professional, ethical and social responsibilities.X
12. PO12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems.X
13. PO13. Is innovative and inquisitive; has a high level of professional self-esteem.  X

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest