ACADEMICS
Course Details
MAT124 - Mathematics II
2024-2025 Fall 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. |
| 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 |
| 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 | |
| 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 |
| 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