ACADEMICS
Course Details
MAT123 - Mathematics I
2024-2025 Spring term information
The course is not open this term
MAT123 - Mathematics I
| Program | Theoretıcal hours | Practical hours | Local credit | ECTS credit |
| Undergraduate | 4 | 2 | 5 | 6 |
| Obligation | : | Must |
| Prerequisite courses | : | - |
| 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 and their applications. |
| Learning outcomes | : | Define basic functions, take the limit of functions and investigate their continuity, take the derivatives of functions, using derivative a student can sketch and interpret the graph of functions, solve maximum and minimum problems, classify integrals, use techniques of integration, define and classify improper integrals, apply derivative and integral concepts to his/her profession. define sequences, analyize the convergence of sequences, can recognize series and use convergence tests for series, can find Taylor and maclaurin series expansion of given functions. |
| Course content | : | Functions Limit and continuity Derivatives and its applications, Cuve sketching Maximum and minimum problems Integral and area calculations Definite and indefinite integrals Techniques of integration Improper İntegrals Applications of integration-volume, area of surfaces, arc lenght of curves Sequences and series, Convergence tests for series Taylor and Maclaurin series |
| 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 | Functions general overview |
| 2 | Limit and continuity, limits involving infinity, asymptotes |
| 3 | Derivative and its applications-Chain rule, Mean Value theorem, Rolle?s theorem |
| 4 | Curve sketching-Concavity, concave up, concave down |
| 5 | Maximum and minimum problems |
| 6 | Midterm exam |
| 7 | Introduction to integration |
| 8 | Definite integrals and fundamental theorem of calculus |
| 9 | Techniques of integration- Integration by parts, trigonometric integrals, integration of Rational functions |
| 10 | Improper integrals and Applications of integration |
| 11 | Midterm exam |
| 12 | Sequences and series-convergence and divergence |
| 13 | Convergence tests for series- Integral test, comparison test, the root and ratio test, Alternating series |
| 14 | Taylor and Maclaurin series |
| 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