ACADEMICS
Course Details
MAT 123 Mathematics I
2017-2018 Spring 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 (http://ects.hacettepe.edu.tr) in real-time and displayed here. Please check the appropriate page on the original site against any technical problems.
MAT123 - MATHEMATICS I
| Course Name | Code | Semester | Theory (hours/week) |
Application (hours/week) |
Credit | ECTS |
|---|---|---|---|---|---|---|
| MATHEMATICS I | MAT123 | 1st Semester | 4 | 2 | 5 | 6 |
| Prerequisite(s) | ||||||
| Course language | English | |||||
| Course type | Must | |||||
| Mode of Delivery | Face-to-Face | |||||
| Learning and teaching strategies | Lecture Discussion Question and Answer | |||||
| Instructor (s) | Instructors of department of mathematics | |||||
| 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 |
| |||||
| 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. | |||||
Course outline weekly
| Weeks | Topics |
|---|---|
| Week 1 | Functions general overview |
| Week 2 | Limit and continuity, limits involving infinity, asymptotes |
| Week 3 | Derivative and its applications-Chain rule, Mean Value theorem, Rolle?s theorem |
| Week 4 | Curve sketching-Concavity, concave up, concave down |
| Week 5 | Maximum and minimum problems |
| Week 6 | Midterm exam |
| Week 7 | Introduction to integration |
| Week 8 | Definite integrals and fundamental theorem of calculus |
| Week 9 | Techniques of integration- Integration by parts, trigonometric integrals, integration of Rational functions |
| Week 10 | Improper integrals and Applications of integration |
| Week 11 | Midterm exam |
| Week 12 | Sequences and series-convergence and divergence |
| Week 13 | Convergence tests for series- Integral test, comparison test, the root and ratio test, Alternating series |
| Week 14 | Taylor and Maclaurin series |
| Week 15 | Final preparation |
| Week 16 | Final exam |
Assesment 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 |
| Midterms | 2 | 50 |
| Final exam | 1 | 50 |
| Total | 100 | |
| Percentage of semester activities contributing grade succes | 0 | 50 |
| Percentage of final exam contributing grade succes | 0 | 50 |
| Total | 100 | |
Workload and ECTS calculation
| Activities | Number | Duration (hour) | Total Work Load |
|---|---|---|---|
| Course Duration (x14) | 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, ect) | 14 | 4 | 56 |
| Presentation / Seminar Preparation | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework assignment | 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
| D.9. Key Learning Outcomes | Contrubition level* | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 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