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Course Details
| Course Department: | Department of Mathematics and Statistics |
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| Course Code: | MAS 027 |
| Course Title: | Engineering Mathematics ΙΙΙ |
| Number of ECTS: | 5 |
| Level of Course: | 1st Cycle (Bachelor's Degree) |
| Year of Study (if applicable): | 2 |
| Semester/Trimester when the Course Unit is Delivered: | Fall Semester
Spring Semester |
| Name of Lecturer(s): | Christodoulos Mitillos George Petrides |
| Lectures/Week: | 2 (1.5 hours per lecture) |
| Laboratories/week: | -- |
| Tutorials/Week: | 1 (1 hours per lecture) |
| Course Purpose and Objectives: | Introduction to solving to ordinary differential equations, which are necessary for engineers. |
| Learning Outcomes: | Understanding how to find solutions to 1st and 2nd order differential equations and linear systems of differential equations. Applications to engineering problems are emphasized. |
| Prerequisites: | Not Applicable |
| Co-requisites: | Not Applicable |
| Course Content: | Ordinary differential equations. Separable equations. Exact equations. Integrating factors. Solutions of linear and non-linear 1st order differential equations. 2nd order differential equations. Fundamental solutions of homogeneous equations. Non-homogeneous equations. Undetermined coefficients and variation of parameters. Series solutions. Applications of ordinary differential equations. Linear systems of differential equations. Laplace transforms. |
| Teaching Methodology: | Lectures and tutorials |
| Bibliography: |
W.E. Boyce, R.C. DiPrima. Στοιχειώδεις διαφορικές εξισώσεις και προβλήματα συνοριακών τιμών, Πανεπιστημιακές Εκδόσεις ΕΜΠ, Αθήνα, 1999. W.E.Boyce & R.C. Diprima, Elementary Differential Equations and Boundary Problems, 8th Edition Wiley 2005.
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| Assessment: | One midterm (40%) and one final exam (60%) |
| Language of Instruction: | Greek |
| Delivery Mode: | Face-To-Face |
| Work Placement(s): | Not Applicable |