ةيدوعسلا ةيبرعلا ةكلملما لياعلا ميلعتلا ةرازو -
ىرقلا مأ ةعماج
ةيملاسلإا ةرامعلا و ةسدنلها ةيلك ةيئبارهكلا ةسدنلها مسق 802347: Advanced Eng. Mathematics
KINGDOM OF SAUDI ARABIA Ministry of Higher Education
Umm Al-Qura University
College of Engineering and Islamic Architecture
Electrical Engineering Department
Course syllabus – Fall 2014 (Term-I, 1436/1437AH) (3, 1, 4)
Lecture Credit Hours: 4, Lab Credit Hours: 0, Total Credit Hours: 4 Lecture Contact Hours: 4, Lab Contact Hours: 0, Total Contact Hours: 4 Instructor: Dr. Tarek Mohammad Abdolkader
Office: G199, Phone ext.: 1054 Email: tmhasan at uqu.edu.sa
Lectures: Section 1 Tuesday: 4:00 pm -5:50 pm (E11), Thursday 4:00 pm – 5:50 pm (E11) Office Hours: Monday 8:00 – 9:50 am, Tuesday 3:00 - 3:50 pm (except the time of Asr prayer)
Wednesday 8:00 – 9:50 am, 11:00 am – 11:50 am.
Thursday 3:00 - 3:50 pm (except the time of Asr prayer) Brief Catalog Description:
This is an advanced mathematics course that includes complex variables and discrete mathematics. It provides an introduction to the complex analytic functions, complex integration, Cauchy’s theorem, complex series and residue theorem. The students will also be introduced to discrete mathematical concepts of logic and set theory
Pre-Requisite: Linear Algebra & Partial Differential Equations (404304) Textbook:
Dennis G. Zill and Patrick D. Shanahan, “A First Course in Complex Analysis with Applications,”
2nd Edition, Jones and Bartlett Publishers, 2009.
References and other Supplemental Material:
1. James Brown and Ruel Churchill, “Complex Variables and Applications,” 8th Edition, McGraw-Hill, 2009.
2. Yue Kuen Kwok, “Applied Complex Variables for Scientists and Engineers,” 2nd Edition, Cambridge University Press, 2010.
3. David McMahon, “Complex Variables Demystified: A Self-Teaching Approach,” McGraw-Hill, 2008.
Specific Outcomes of Instructions:
1. Students will learn complex numbers and their properties, use the polar form of complex numbers, their powers and roots, and represent them in the complex plane, as well as to use them solving in engineering problems.
2. Students will understand function of complex variable and mapping, power functions, limits and continuity, as well as to use them in solving engineering problems.
3. Students will be able to apply analytic functions: their differentiability and analyticity, Cauchy- Riemann equations, and harmonic functions, as well as to use them in solving engineering problems.
4. Students will be able to apply elementary functions: exponential, logarithmic, complex power, trigonometric and hyperbolic, inverse trigonometric and hyperbolic, as well as to use them in solving engineering problems.
5. Students will be able to perform integration in the complex plane: real and complex integrals,
Cauchy-Goursat theorem independence of path, Cauchy integral formulas and their consequences, as well as to use them in solving engineering problems.
ةيدوعسلا ةيبرعلا ةكلملما لياعلا ميلعتلا ةرازو -
ىرقلا مأ ةعماج
ةيملاسلإا ةرامعلا و ةسدنلها ةيلك ةيئبارهكلا ةسدنلها مسق 802347: Advanced Eng. Mathematics
KINGDOM OF SAUDI ARABIA Ministry of Higher Education
Umm Al-Qura University
College of Engineering and Islamic Architecture
Electrical Engineering Department
6. Students will understand series and residues: Taylor and Laurent series, zeroes and poles, residue theorem, as well as use them in solving engineering problems.
7. Students will have basic concepts of combinatorics, logics statements and connectives, quantifiers and logic word problems and set theory,
8. Students will understand concepts of graph theory, tree and networks.
9. Students will learn basic ideas in discrete probability and how to apply them.
Brief list of topics to be covered:
1. Complex Numbers and the Complex Plane 8 hours 2 weeks 2. Complex Functions and Mapping 8 hours 2 weeks 3. Analytic Functions 8 hours 2 weeks 4. Elementary Functions 8 hours 2 weeks 5. Integration in the Complex Plane 8 hours 2 weeks 6. Series and Residues 8 hours 2 weeks 7. Logic Statements and Connectives 4 hours 1 week
8. Counting 4 hours 1 week
Grading Policy:
Semester works 50%
Final Exam 50%
Academic Dishonesty Policy
Honesty is one of the ethical qualities of our beloved Prophet, Muhammad, peace be upon him.
Honest persons are worthy of all the trust that other people have for them, and are blessed and rewarded in the herein and in the hereafter.
Dishonesty is disobedience to Allah, Glory to Him, and to the Prophet, peace be upon him. Muslims are ordered in Islam not to cheat or deceive other people. Academic dishonesty is a serious violation to the policies and regulations of Umm Al-Qura University that aim at preparing righteous and qualified professional graduates in all specializations.
Acts of academic dishonesty that may occur during the course will be treated firmly and decisively according to Article 38 in Rules for Studies and Tests posted by the University, and Rules for Disciplining Students posted by the Deanship of Student Affairs. A copy of these Rules can be downloaded from the website of the Department.
Semester works 50
Class activity&
Quizzes 15
Nearly 1 grade is assigned for each class to measure your activity in class through participating in solving examples.
Absence demolishes this grade, and moreover, absence more than 25% of hours of the course leads to Denial.
Major Exams 15
The first major exam should be held in the 8th week
Major Exams 20
The second major exam should be held in the 13th week
