University :Mansoura University |
Faculty :Faculty of Engineering |
Department : |
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| 1- 1- Course data :- |
| | Code: | MTH001 | | Course title: | Math1 | | Year/Level: | 000 | | Program Title: | - Bsc. in biomedical engineering
| | Specialization: | | | Teaching Hours: | Theoretical: | 2 | Tutorial: | 2 | Practical: | |
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| 2- 2- Course aims :- |
| - 1- Apply knowledge of mathematics and methods of differential calculus to solve different engineering problems.
- 5- Use modern mathematical techniques and skills to design and control biomedical systems.
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| 3- 3- Course Learning Outcomes :- |
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| 4- 4- Course contents :- |
| | No | Topics | Week No. |
|---|
| 1 | Limits and continuity - the derivative | 1 | | 2 | Transcendental functions | 2 | | 3 | derivative of transcendental functions | 3 | | 4 | higher order derivatives | 4 | | 5 | L’hopital rule and Taylor series | 5 | | 6 | problems of extrema and curve sketching | 6 | | 7 | functions of several variables and applied theorems on partial differentiation | 7 | | 8 | mathematical induction | 9 | | 9 | binomial theorem | 10 | | 10 | the remainder theorem and synthetic division | 11 | | 11 | theory of equations | 12 | | 12 | partial fraction decomposition methods | 13 | | 13 | algebra of matrices, determinants and vectors | 14 | | 14 | solution of linear systems of equations and eigenvalue problems | 14 |
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| 5- 5- Teaching and learning methods :- |
| | S | Method |
|---|
| Lectures | | Discussion Sessions |
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| 6- 6- Teaching and learning methods of disables :- |
| - Extra oral meetings
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| 7- 7- Student assessment :- |
| - Timing |
| | No | Method | Week No. |
|---|
| 1 | Mid Term Examination | 8 | | 2 | Semester work | every weak | | 3 | Final Term Examination | 15 |
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| - Degree |
| | No | Method | Degree |
|---|
| 1 | Mid_term examination | 20% | | 2 | Final_term examination | 50% | | 3 | Oral examination | 0 | | 4 | Practical examination | 0 | | 5 | Semester work | 30% | | 6 | Other types of asessment | 0 | | Total | 100% |
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| 8- 8- List of books and references |
| | S | Reference | Type |
|---|
| 1 | Robert A., Adams, "Calculus: a complete course" 6thed, 2006. | Open books | | 2 | Adrian Banner, " The Calculus Lifesaver " Princeton University press princeton and Oxford 2007. | Open books | | 3 | Larson, Ron, and Bruce H. Edwards. Calculus. Boston, MA: Brooks/Cole, Cengage Learning, 2014. | Open books | | 4 | Stewart, James. Calculus. Australia Belmont, CA: Brooks/Cole Pub Co, 2012. | Open books | | 5 | Lecture notes | Books |
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| 9- 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Limits and continuity - the derivative | 1 | | Transcendental functions | 2 | | derivative of transcendental functions | 3 | | higher order derivatives | 4 | | L’hopital rule and Taylor series | 5 | | problems of extrema and curve sketching | 6 | | functions of several variables and applied theorems on partial differentiation | 7 | | mathematical induction | 9 | | binomial theorem | 10 | | the remainder theorem and synthetic division | 11 | | theory of equations | 12 | | partial fraction decomposition methods | 13 | | algebra of matrices, determinants and vectors | 14 | | solution of linear systems of equations and eigenvalue problems | 14 |
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| Course Coordinator(s): - |
| - Reda Abdo Abd El Moniem Abdo
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| Head of department: - |
| Hossam El Din Salah Moustafa Salah |
