Benha University
Faculty of Science
Department of Physics
Course Specification
A- Affiliation
Physics
Relevant program:
Department offering the program:
Department offering the course:
Academic year/level:
Date of specifications approval:
Physics
Physics
2012/2013/ 2
B - Basic information
Title: Modeling of physical systems
Physics
Teaching Hours: 36
Code: Phy 414
Year/level: 2012/2013/ 2
Lectures:3
Practical:0
Tutorial: 0
Total: -3 h/week
C - Professional information
1 – Course Learning Objectives:
At the end of this course, the students will acquire: The course aims to demonstrate the
utility and limitations of a variety of powerful calculational techniques and to provide a
deeper understanding of the mathematics underpinning theoretical physics. The course will
review and develop the theory of: complex analysis and applications to special functions;
asymptotic expansions; ordinary and partial differential equations, in particular,
characteristics, integral transform and Green function techniques; Dirac delta and
generalised functions; Sturm-Liouville theory. The generality of approaches will be
emphasised and illustrative examples from electrodynamics, quantum and statistical
mechanics will be given
2 - Intended Learning Outcomes (ILOS)
a - Knowledge and understanding:
On completion of this course a student should be able to:
1)define and derive convergent and asymptotic series
2)apply techniques of complex analysis, such as contour integrals and analaytic
continuation, to the study of special functions of mathematical physics
3)calculate approximations to integrals by appropriate saddle point methods
1
4)define and manipulate the Dirac Delta and other distributions and be able to derive their
various properties
5)be fluent in the use of Fourier and Laplace transformations to solve differential equations
and derive asymptotic properties of solutions
6)solve partial differential equations with appropriate initial or boundary conditions with
Green function techniques
7)have confidence in solving mathematical problems arising in physics by a variety of
mathematical techniques
b - Intellectual skills:
Apply appropriate theories, principles and concepts relevant to the physics.
B1. Critically assess and evaluate the literature within theoretical and computational
physics.
B2. Analyze the information from a variety of sources relevant to computational and
theoretical physics.
B3. Demonstrate a reasoned argument to the solution of familiar and unfamiliar problems
relevant to mathematical equations in physics.
c - Practical and professional skills:
c1. Plan, design and execute practical activities using techniques and procedures
appropriate to mathematic related to different aspects of physics.
c2. Plan, design, record, execute and communicate a piece of independent research using
mathematics media and techniques in physics.
c3. Respond to change within the external and internal mathematics to computational
physics.
c4. Solve problems relevant to theoretical physics.
d - General skills:
d1. Deal with an appropriate effective data relevant to physics.
d2. Demonstrate the ability to work effectively as part of a group, involving leadership,
group dynamics and interpersonal skills such as listening, negotiation and persuasion
relevant to mathematics and theoretical physics.
d3. Use organization skills (including task and time management) relevant to computational
physics both individually and in a group situation.
d4. Solve problems relevant to theoretical and computational using ideas and techniques
some of which are at the forefront of the discipline.
d5. Acquire the ability to self appraise and reflect on practice relevant to physics.
2
3 - Contents
Lecture
hours
Topic
1-solve of systems equations,
3
2-vector analysis
3
3- Fourier series
3
4- normal Differential equations
3
5- Partial differential equation
3
6- Simulation
3
7-graphical representation
3
8- applicability of curves
3
9-statistics analysis
3
3
3
3
36
10- complex analysis
11- solving physical probelms
12- review
Total hours
Tutorial
hours
Practical
hours
Knowledge &
Understanding
y
A
Brain storming
Problem solving
Practical
Discussions &
Seminars
Intended Learning Outcomes
Presentations & Movies
Lecture
4 - Teaching and Learning methods:
y
Solving integrals and differential
equations for physical problems
Simulations
y
Studying complex analysis
y
y
A
y
Y
p
r
o
f
e
s
s
i
o
n
a
l
Plan, design and execute practical activities Y
a
n
d
C1
3
s
k
i
l
l
s
Lecture , Discussion , seminars
and Brain storming
b1, b2, b3
P
r
a
c
t
i
c
a
l
Intellectual
Skills
A
C2
using techniques and procedures
appropriate to mathematic related to
different aspects of physics.
y
y
y
Genetal Skills
Analyze and Draw the out pout data from
each simulatin
C3
Plan, design, record, execute and
communicate a piece of independent
research using mathematics media and
techniques in physics.
y
y
C4
Respond to change within the external and
internal mathematics to computational
physics.
y
y
Lecture, Discussions ,
Seminars , Problem solving,
Brain storming, computer
d1, d2, d3
5- Students’ Assessment Methods and Grading:
Tools:
Mid-Term Exam
Oral exam
Practical exams
Written exam
To Measure
Knowledge , Intellectual and
General skills
Intellectual and professional
All
(ILOS)
Time schedule
After 20h
Grading
10%
After 30h
10%
-80%
100 %
After 36h
Total
6- List of references:
4
6-1 Course notes
Manual note book
6-2 Required books.
Mathematical Methods for Physicits, By Chow. Cambridge Univrsity Press.
6-4 Periodicals, Web sites, etc.
www.physicstoday.com
www.aps.org
1-
7- Facilities required for teaching and learning:
1- Blackpoard
2- projector
3- Computers
Course coordinator:
Head of the Department:
Date:
Dr. Ahmed Farag Ali
5