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University :Mansoura University
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Faculty :Faculty of Science
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Department :Mathematics Department
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| 1- 1- Course data :- |
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| Code: |
20103 |
| Course title: |
Maths -1 |
| Year/Level: |
أولى الكيمياء |
| Program Title: |
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| Specialization: |
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| Teaching Hours: |
Theoretical: |
3 |
Tutorial: |
3 |
Practical: |
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| 2- 2- Course aims :- |
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- The program unit aims to provide a firm foundation in the concepts and techniques of the calculus, including real numbers, standard functions, curve sketching, limits, continuity, differentiation, integration of functions of one variable. The core concepts of limits, differentiation and integration are revised. Techniques for applying the calculus are developed and strongly reinforced.
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| 3- 3- Course Learning Outcomes :- |
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| 4- 4- Course contents :- |
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| No |
Topics |
Week No. |
| 1 |
Numbers and Functions |
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| 2 |
Limits and continuity. |
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| 3 |
Differentiation: (Basic ideas; tangent of curve; the product and quotient rule; the chain rule); higher derivatives and leibniz rule |
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| 4 |
Derivatives of trigonometric functions and their inverse |
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| 5 |
Derivatives of the log function and ln function; the exponential function |
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| 6 |
Derivatives of hyperbolic functions and their inverse |
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| 7 |
Applications of derivatives |
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| 8 |
Integration |
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| 9 |
Techniques of Integration: (Integration by substitution-Integration of trigonometric and hyperbolic functions - Integration of parts - Integration of rational functions by partial fractions- Integration of parameter dependent functions) |
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| 10 |
Application of integration |
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| 5- 5- Teaching and learning methods :- |
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| S |
Method |
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Lectures (3H/W) |
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Tutorial (3H/w) |
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| 6- 6- Teaching and learning methods of disables :- |
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- no
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| 7- 7- Student assessment :- |
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- Timing |
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| No |
Method |
Week No. |
| 1 |
Oral Examination |
10 |
| 2 |
Final-Term Examination |
15 |
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- Degree |
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| No |
Method |
Degree |
| 1 |
Mid_term examination |
0 |
| 2 |
Final_term examination |
90 |
| 3 |
Oral examination |
10 |
| 4 |
Practical examination |
0 |
| 5 |
Semester work |
0 |
| 6 |
Other types of asessment |
0 |
| Total |
100% |
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| 8- 8- List of books and references |
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| S |
Reference |
Type |
| 1 |
Lecture Notes |
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| 2 |
Howard Anton, Calculus, John Wily & Sons, INC 1999 |
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| 3 |
Jordan, D.W. & Smith, P. Mathematical Techniques: An introduction for the engineering, physical, and mathematical sciences (3rd edition), Oxford University Press, Oxford, 2002 |
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| 4 |
James Stewart, Calculus, Early Transcendentals, Thomson, 5th Edition, International Student Edition, 2003. |
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| 5 |
E. Swokowski, M. Olinick & D.Pence, "Calculus", PWS Publishing Co |
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| 6 |
Donald A. McQuarrie (2003). Mathematical Methods for Scientists and Engineers, University Science Books. ISBN 9781891389245 |
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| 7 |
http://en.wikipedia.org/wiki/Calculus |
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| 8 |
http://www.essex.ac.uk/maths/ps/ug/courses.shtm |
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| 9 |
http://www.sosmath.com/calculus/calculus.html |
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| 9- 9- Matrix of knowledge and skills of the course |
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| S |
Content |
Study week |
|
Numbers and Functions |
|
|
Limits and continuity. |
|
|
Differentiation: (Basic ideas; tangent of curve; the product and quotient rule; the chain rule); higher derivatives and leibniz rule |
|
|
Derivatives of trigonometric functions and their inverse |
|
|
Derivatives of the log function and ln function; the exponential function |
|
|
Derivatives of hyperbolic functions and their inverse |
|
|
Applications of derivatives |
|
|
Integration |
|
|
Techniques of Integration: (Integration by substitution-Integration of trigonometric and hyperbolic functions - Integration of parts - Integration of rational functions by partial fractions- Integration of parameter dependent functions) |
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Application of integration |
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| Course Coordinator(s): - |
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- Mohamed Mohamed Eldesouqy Ahmed
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| Head of department: - |
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Ahmed Habeb Mohamed Nageb Elbassiony |
