Course Details

MAT 124 Mathematics II
2021-2022 Fall term information

The course is not open this term

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 ( in real-time and displayed here. Please check the appropriate page on the original site against any technical problems. Course data last updated on 14/09/2021.


Course Name Code Semester Theory
Credit ECTS
MATHEMATICS II MAT124 2nd Semester 4 2 5 6
Course languageEnglish
Course typeMust 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Question and Answer
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.
Adams, R.A, Calculus, a complete course, Addison-Wesley 2003.
Balcı M., Temel ve Genel Matematik I& II, Balcı Yayınları 2000.

Course outline weekly

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
Field activities00
Specific practical training00
Final exam150
Percentage of semester activities contributing grade succes250
Percentage of final exam contributing grade succes150

Workload and ECTS calculation

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 4 56
Laboratory 0 0 0
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14456
Presentation / Seminar Preparation000
Homework assignment000
Midterms (Study duration)21224
Final Exam (Study duration) 11616
Total Workload4538180

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
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

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