ACADEMICS
Course Details
MAT 235 Engineering Mathematics I
2020-2021 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://akts.hacettepe.edu.tr) in real-time and displayed here. Please check the appropriate page on the original site against any technical problems. Course data last updated on 25/02/2021.
MAT235 - ENGINEERING MATHEMATICS I
| Course Name | Code | Semester | Theory (hours/week) |
Application (hours/week) |
Credit | ECTS |
|---|---|---|---|---|---|---|
| ENGINEERING MATHEMATICS I | MAT235 | 3rd Semester | 4 | 0 | 4 | 5 |
| Prerequisite(s) | ||||||
| Course language | English | |||||
| Course type | Must | |||||
| Mode of Delivery | Face-to-Face | |||||
| Learning and teaching strategies | Lecture Discussion Question and Answer Drill and Practice Problem Solving | |||||
| Instructor (s) | Instructors at the department of mathematics | |||||
| Course objective | The aim of this course is to explain some basic concepts of Mathematics and show how to use these concepts in solving certain types of problems which might possibly be encountered in many branches of science and engineering. | |||||
| Learning outcomes |
| |||||
| Course Content | Differential equations and solutions Linear algebra Systems differential equations and solutions Series solutions of differential equations | |||||
| References | 1. Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, Wiley, 2006. 2. W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary-Value Problems, 9th Edition, Wiley, 2000. 3. F. B. Hildebrand, Advanced Calculus for Applications, 2nd Edition, Prentice-Hall, 1976. 4. S. L. Ross, Differential Equations, 3rd Edition, Wiley, 1984. 5. M. L. Boas, Mathematical Methods in the Physical Sciences, 3th Edition, Wiley, 2006. | |||||
Course outline weekly
| Weeks | Topics |
|---|---|
| Week 1 | First-order differential equations; Introduction, Basic concepts |
| Week 2 | Separable and Homogeneous differential equations, Modeling |
| Week 3 | Exact differential equations, Integrating factors |
| Week 4 | Second-order linear differential equations; Basic concepts |
| Week 5 | Linear independence,Wronskian, Theory of homogeneous differential equations |
| Week 6 | Midterm exam |
| Week 7 | Theory of nonhomogeneous differential equations; Undetermined coeffcients and Variation of parameters |
| Week 8 | Higher-order linear differential equations; Generalization of the theory introduced above |
| Week 9 | Linear Algebra and Matrix Theory; Vectors, Matrices, Operations with matrices |
| Week 10 | Solutions of linear systems AX = B, Cramer's rule |
| Week 11 | Midterm exam |
| Week 12 | Eigenvalues and eigenvectors, Orthogonal matrices, Diagonalization |
| Week 13 | Systems of differential equations |
| Week 14 | Series solutions of differential equations |
| Week 15 | Preparation for Final Exam |
| 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 | 2 | 50 |
| Percentage of final exam contributing grade succes | 1 | 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 | 0 | 0 | 0 |
| Specific practical training | 0 | 0 | 0 |
| Field activities | 0 | 0 | 0 |
| Study Hours Out of Class (Preliminary work, reinforcement, ect) | 14 | 5 | 70 |
| Presentation / Seminar Preparation | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework assignment | 0 | 0 | 0 |
| Midterms (Study duration) | 2 | 7 | 14 |
| Final Exam (Study duration) | 1 | 10 | 10 |
| Total Workload | 31 | 26 | 150 |
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