Minia university Faculty of Engineering Dept. Of Mech. Power and Energy
COURSE SPECIFICATION
1. Administrative Information
Course Title :Engineering Mathematics (1)
Code :FS111
Department offering the course : Mechanical power and Energy Program on which the course is given : Undergraduate level
Department offering the program : Mechanical power and Energy
Academic year :First Year
Semester : First semester
Date of specification/revision :2004 Date of approval by Departmental/Faculty :05/10/2020 Taught hours:
Lecture:4hrs/week Tutorial:2hrs/week Practical: None hrs/week others: None Total:6hrs/week
2. Overall Aims of the Course
This course is designed to:• help the students to apply knowledge of integration, differentiation, differential equations, and numerical methods in solving engineering.
3. Intended Learning Outcomes of the course (ILOs):
a- Knowledge and understanding (𝑨
𝟏, 𝑨
𝟓) Upon completing this course, the student should be able to:
a
1- Define
the main concepts of differentiation, integration and linear algebra. 𝐚
𝟐-Explain
the different types and methods of solving differential equations. a
3- Mention
the different types and methods of solving differential equations. 𝐚
𝟒- Discuss
the techniques of different numerical methods.
b- Intellectual Skills(𝑩
𝟏𝑩
𝟐)
Upon completing this course, the student should be able to:
b
1- Select
the appropriate engineering mathematics theories and concepts to apply them in solving problems that related to mechanical power and energy engineering.b
2- Use
spreadsheets (Microsoft Excel)for solving systems of equations and calculate numerical integrals.c- Professional and practical skills(𝑪
𝟏)
Upon completing this course, the student should be able to:
c
1- Select
the suitable method for solving systems of equations (linear and partial).c
2-Apply
the mathematical theories and principles in solving real life problems.𝐜
𝟑-Prepare a
spreadsheet (Microsoft excel) tool to solve the system of linear equations.d- General and transferable skills(𝑫
𝟏, 𝑫
𝟐) Upon completing this course, the student should be able to:
d
1- Communicate
effectively and collaborate with others in a team.d
2- Manage task
efficiently.MPE Course Specification FS 111
2 4. Syllabus
Topics CONTENTS
Topic (1) Integral theorems and its applications Topic (2) Ordinary differential equations Topic (3) Some orthogonal functions Topic (4) Partial differential equation
Topic (5) Direct methods for solving linear systems Topic (6) Iterative Techniques in Matrix Algebra Topic (7) Numeric integration and differentiation Topic (8) Numeric for ordinary differential equations
5. Teaching and Learning Methods:
5.1. Lectures.
5.2. Discussion.
5.3. Tutorial.
5.4. Team work.
5.5. Office hours.
5.6. Self-learning.
6. Students Assessment:
6.1. Students Assessment Methods:
6.1.1. Tutorial 6.1.2. Reports
6.1.3. Mid-term exams 6.1.4. Written exam 6.2. Assessment schedule:
6.2.1. Tutorial
An assignment every two weeks6.2.2. Reports
Scheduled by the instructor)6.2.3. Mid-term exams
First Mid-term Week # 8Second Mid-term Week # 12
6.2.4. Written exam
Scheduled by the faculty council6.3. Weighing of assessments:
Semester Work (Tutorials and Reports) 13 %
Mid-Term Exam 20 %
Final Exam 67 %
Total 100 %
7. List of References:
7.1.
Course notes:
Handouts and presentation slides prepared by the instructor7.2. Essential books (textbooks):
1- Kreyszig, E., 2010, Advanced Engineering Mathematics. 10th ed.: John Wiley & Sons, Limited.
1283.
2- Kreyszig, E., 2006, Advanced Engineering Mathematics. 9th ed. John Wiley & Sons, Limited.
1246.
7.3. Recommended books:
1- Kreyszig, E., 2006, Advanced Engineering Mathematics. 9th ed. John Wiley & Sons, Limited.
1246.
2- Nagle, R. K., E. B. Saff, and A. D. Snider, 2012, Fundamentals of Differential Equations. 8th ed.: Pearson Education, Inc. 719.
3- Richard L. Burden & J. Douglas Faires, 2010m Numerical Analysis 9th Edition,.
7.4.
Periodicals, websites, etc.:
---None---MPE Course Specification FS 111
3
8.
Other Resources/ Facilities of teaching and learning required for achieving the above ILOs:
-• Class rooms
• Data show device
• Student library
9. We certify that all of the information required to deliver this course is contained in the above specification and will be implemented.
Course Coordinator:
Dr. Elsadek Hassan Noureldeen Signature ………
Date: Oct. 2020
Head of Department
Prof. Dr. Ibrahim M. M. El-Moghazy Signature ………
Date: Oct. 2020
MPE Course Specification FS 111
4
Course Curriculum Map Course title: Engineering Mathematics (1).
Course coordinators: Dr. Elsadek Hassan Noureldeen Course Aim: This course is designed to
•
Help the students to apply knowledge of integration, differentiation, differential equations, and numerical methods in solving engineering Course
code
Intended Learning Outcomes (ILOs)
Topics
Week
# Teaching Methods Assessment
Methods Evidences Knowledge
and understanding
Intellectual skills
Professional and practical
skills
General and transferable
skills
FS 111
𝐚
𝟏+ 𝐚
𝟑𝐛
𝟏𝐝
𝟏+ 𝐝
𝟐Integral theorems and its
applications
1Lectures + Tutorials +Office hours
Tutorials, and Reports
Mid Term exam Final exam
Course file, Exam samples,
Regular reports, Assignment
𝐚
𝟏+ 𝐚
𝟐𝐛
𝟏𝐝
𝟏+ 𝐝
𝟐Ordinary differential
equations
2-3Lectures + Tutorials +Office hours
𝐚
𝟏𝐛
𝟏𝐝
𝟏+ 𝐝
𝟐Some orthogonal
functions
4Lectures + Tutorials +Office hours
𝐚
𝟏+ 𝐚
𝟐𝐛
𝟏𝐜
𝟐𝐝
𝟏+ 𝐝
𝟐Partial differential
equations
5-6 Lectures + Tutorials + Office hours𝐚
𝟐𝐛
𝟏+ 𝐛
𝟐𝐜
𝟏+ 𝐜
𝟑𝐝
𝟏+ 𝐝
𝟐Direct methods for
solving linear systems
7-8Lectures + Tutorials +Office hours +self-
learning
𝐚
𝟏+ 𝐚
𝟒𝐛
𝟏+ 𝐛
𝟐𝐜
𝟏+ 𝐜
𝟑𝐝
𝟏+ 𝐝
𝟐Iterative Techniques in
Matrix Algebra
9-10Lectures + Tutorials +Office hours
𝐚
𝟏𝐛
𝟐𝐜
𝟐𝐝
𝟏+ 𝐝
𝟐Numeric integration and
differentiation
11-12 Lectures + Tutorials +Office hours𝐚
𝟏+ 𝐚
𝟒𝐛
𝟏𝐜
𝟐𝐝
𝟏+ 𝐝
𝟐Numeric for ordinary
differential equations
13Lectures + Tutorials +Office hours
