MATH202 Differential Equations
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| Course Code | Course Title | Weekly Hours* | ECTS | Weekly Class Schedule | |||||||||
| T | P | ||||||||||||
| MATH202 | Differential Equations | 3 | 2 | 6 | Monday 12:00 - 14:50 | ||||||||
| Prerequisite | MATH102 | It is a prerequisite to | |||||||||||
| Lecturer | Seyednima Rabiei | Office Hours / Room / Phone | Monday: 15:00-16:30 Tuesday: 14:00-16:00 Wednesday: 10:00-12:00 , 14:00-16:00 Thursday: 10:00-12:00 , 14:00-16:00 Friday: 10:00-12:00 |
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| nrabiei@ius.edu.ba | |||||||||||||
| Assistant | Nima Rabiei | Assistant E-mail | nrabiei@ius.edu.ba | ||||||||||
| Course Objectives | Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations deal with functions of one variable, which can often be thought of as time. The goal of the course is to give students an understanding of the fundamental principles of ordinary differential equations and their applications to everyday life and technology and to develop an appreciation of ordinary differential equations topics as a human Endeavor, thereby enriching the students' experience of life. The course will provide a reasonably broad perspective of modeling using first order ordinary differential equations, and model solving, using them in the professional life, as well as further graduate studies in computer engineering, and other fields of engineering and after taking this course, students will be able to deal with the problems of engineering and science by the use of higher order ordinary differential equations and to develop an appreciation of ordinary differential equations modeling as a creative activity, using informed intuition and imagination to create an understanding of the beauty, simplicity and symmetry in the calculated nature. | ||||||||||||
| Textbook | C. Henry Edwards, David E. Penney. Elementary Differential Equations with Boundary Value Problems. Dennis G. Zill. A First Course in Differential Equations with Modeling applications. Shepley l. Ross. Differential Equations. M. Can, E.Tacgin, R.Koker, c. Sarioglu. Differential Equations. | ||||||||||||
| Learning Outcomes | After successful completion of the course, the student will be able to: | ||||||||||||
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| Teaching Methods | Class discussions with examples. Active tutorial sessions for engaged learning and continuous feedback on progress. | ||||||||||||
| WEEK | TOPIC | REFERENCE | |||||||||||
| Week 1 | Introduction to Differential Equations. | ||||||||||||
| Week 2 | The General Solution of a Differential Equation. | ||||||||||||
| Week 3 | First Order Differential Equations. Separable Equations. Linear Equations.Exact Equations. | ||||||||||||
| Week 4 | Solutions by Substitutions. Modeling with First Order Differential Equations. | ||||||||||||
| Week 5 | Higher Order Differential Equations. Preliminary Theory-linear Equations. | ||||||||||||
| Week 6 | Initial Value and Boundary Value Problems. Homogeneous Equations. | ||||||||||||
| Week 7 | Non-Homogeneous Equations. Reduction of Order. Homogeneous linear Equations with Constant Coefficients | ||||||||||||
| Week 8 | Power Series Methods. Review of Power Series. Series solution Near Ordinary Points. | ||||||||||||
| Week 9 | Solutions about Singulars Points. Special Functions. | ||||||||||||
| Week 10 | Laplace Transform Methods. | ||||||||||||
| Week 11 | Linear systems of linear first order Differential Equations. Homogeneous linear systems | ||||||||||||
| Week 12 | Distinct Real Eigenvalues. Repeated Eigenvalues. complex Eigenvalues. | ||||||||||||
| Week 13 | Non-Homogeneous Linear system. | ||||||||||||
| Week 14 | Partial Differential Equations. | ||||||||||||
| Week 15 | Review | ||||||||||||
| Assessment Methods and Criteria | Evaluation Tool | Quantity | Weight | Alignment with LOs | ||||||
| Final Exam | 1 | 30 | ||||||||
| Semester Evaluation Compenents | ||||||||||
| Midterm Exam | 1 | 30 | ||||||||
| Quizes | 3 | 35 | ||||||||
| Participation | 5 | |||||||||
| *** ECTS Credit Calculation *** | ||||||||||
| Activity | Hours | Weeks | Student Workload Hours | Activity | Hours | Weeks | Student Workload Hours | |||
| Lecture Hours | 3 | 15 | 45 | Midterm and quiz study | 5 | 1 | 5 | Active tutorials | 2 | 13 | 26 | Active tutorials | 2 | 13 | 26 |
| Home study | 4 | 13 | 52 | Quiz Study | 5 | 2 | 10 | |||
| Total Workload Hours = | 150 | |||||||||
| *T= Teaching, P= Practice | ECTS Credit = | 6 | ||||||||
| Course Academic Quality Assurance: Semester Student Survey | Last Update Date: 06/11/2020 | |||||||||
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