Course Details

MAT124 - Mathematics II

2023-2024 Summer term information
The course is not open this term
MAT124 - Mathematics II
Program Theoretıcal hours Practical hours Local credit ECTS credit
Undergraduate 4 2 5 6
Obligation : Must
Prerequisite courses : MAT123
Concurrent courses : -
Delivery modes : Face-to-Face
Learning and teaching strategies : Lecture, Discussion, Question and Answer
Course objective : The 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 : Knows conic sections and can graph conic sections. Knows vectors, can take limit, derivative and integral of vector valued functions. Calculates partial derivatives of functions. Calculates multiple integrals and do applications of multiple integration.
Course content : Conic sections and Polar coordinates Vectors and geometry of space Vector valued functions Partial derivatives Multiple integrals İntegrals in vector fields
References : Thomas, 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
Weeks Topics
1 Conic sections
2 Polar coordinates
3 Graphing in polar coordinates, areas and lenghts in polar coordinates
4 Vectors-the dot product, the cross product, lines and planes in space
5 Vector valued functions-limit, derivative, integral
6 Midterm exam
7 Partial derivatives-Chain rule, directional derivatives
8 Gradient vectors, tangent planes and differentials, extreme values and saddle points, Lagrange multipliers
9 Multiple integrals-double, triple integrals
10 Multiple integrals ? area, volume
11 Midterm exam
12 Integration in vector fields-line integrals
13 Path independence, conservative Fields, potential functions
14 Integration in vector fields-surface integrals, Stokes? theorem, the Divergence theorem
15 Final preparation
16 Final exam
Assessment Methods
Course activities Number Percentage
Attendance 0 0
Laboratory 0 0
Application 0 0
Field activities 0 0
Specific practical training 0 0
Assignments 0 0
Presentation 0 0
Project 0 0
Seminar 0 0
Quiz 0 0
Midterms 2 50
Final exam 1 50
Total 100
Percentage of semester activities contributing grade success 50
Percentage of final exam contributing grade success 50
Total 100
Workload and ECTS Calculation
Course activities Number Duration (hours) Total workload
Course Duration 14 4 56
Laboratory 0 0 0
Application 14 2 28
Specific practical training 0 0 0
Field activities 0 0 0
Study Hours Out of Class (Preliminary work, reinforcement, etc.) 14 4 56
Presentation / Seminar Preparation 0 0 0
Project 0 0 0
Homework assignment 0 0 0
Quiz 0 0 0
Midterms (Study Duration) 2 12 24
Final Exam (Study duration) 1 16 16
Total workload 45 38 180
Matrix Of The Course Learning Outcomes Versus Program Outcomes
Key learning outcomes Contribution level
1 2 3 4 5
1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline.
2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions.
3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods.
4. Designs a system under realistic constraints using modern methods and tools.
5. Designs and performs an experiment, analyzes and interprets the results.
6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member.
7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology.
8. Performs project planning and time management, plans his/her career development.
9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies.
10. Is competent in oral or written communication; has advanced command of English.
11. Has an awareness of his/her professional, ethical and social responsibilities.
12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems.
13. Is innovative and inquisitive; has a high level of professional self-esteem.
1: Lowest, 2: Low, 3: Average, 4: High, 5: Highest
General Information | Course & Exam Schedules | Real-time Course & Classroom Status
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