Old Dominion University: Summer 2015
Physics 355 CRN 34827, Prof. C.E. Hyde
Welcome to Mathematical Methods of Physics at Old Dominion
University. This course is intended to give a solid practical
foundation to mathematical methods in physics. These methods are
essential for undergraduate study of physics beyond the
introductory level courses.
The course covers complex numbers, functions of multiple
variables, linear algebra, vector calculus, Fourier transform,
differential equations, and special functions.
The key objectives of the course include developing both solid
understanding of underlying concepts and skills for practical
applications.
Prerequisites |
Introductory Physics I & II, Math 212.
Math proficiency in introductory calculus is essential. |
Classes |
TWRF 18:00 – 21:30, Oceanography & Physics, Room 0142 |
Instructor |
Dr. Charles E. Hyde |
Materials |
Textbook: “Mathematical Methods for Physics
and Engineering” |
Support Resources |
Office hours: Tuesdays and Thursdays 16:30 – 17:30 (in OCNPS/PSB 2100C), and by appointment. Blackboard: Homework Assignments, Grades, and other useful information will be posted on the class Blackboard page. E-mail: chyde@odu.edu (have “physics 355” or just “355” in the subject line, emails without subject are treated as spam). Phone: 683-5853 (feel free to
contact the instructor for any urgent questions, email
is more reliable than phone). |
Time |
Physics 355 is a demanding course. `MayMester' is an extremely compressed format. Students should allocate 3-4 hours per day (in addition to class time) to do well in the course. If you cannot dedicate this level of effort, you should consider taking this course in the fall. If you are spending more than 4 hours per day or you feel lost, you should contact the instructor to develop a different studying strategy. |
Course Grades |
The final grade is calculated on an absolute scale. There are 100 points possible for this course of which 20 points – Midterm Exam The grading policy is non-competitive and lenient, but there will be no curve. If everyone in the class does well, everyone can get an A. A letter grade is determined only at the end
of the term. Approximate Grading Scale: A: [95, 100] |
Class time |
Each class period will consist of lectures,
group exercises, interactive discussions and quizes.
Attendance is highly advisable. If you have to miss a class, it is your responsibility to find out what you missed. Policy on class disruption:
Class disruption will not be tolerated. |
Homework |
Homework assignments will be set approximately
every class period. You must keep a bound HW assigned MTW will be due two calendar days
later. HW assigned Th or F will be due the following
Tuesday. Homework must be submitted at the beginning
of the class session, to be graded and returned at the end
of class. Doing the homework problems is one of the best ways to learn the material. Credit for homework is given to encourage practicing and thinking about mathematical methods in physics on a regular basis. It is vitally important that you keep up on the HW, and get help early if you are having difficulty.date. |
Reading Assignments |
Due to the compressed format of this course, it is vitally important that you read the appropriate sections of the textbook BEFORE coming to class. Reading ahead requires time management and discipline, but the payoff is considerable - the material will be much easier to understand. The reading assignment questions may be given as part of the quizzes. |
Quizes |
Quizes will be given, potentially in every
class day (except exams), and at least every other class,
during the last 30min of class. The quizes with be
short, and based on the material of the same day and the
previous day. Doing the reading is critical! |
Mid-term |
There will be one midterm exam. The midterm exam will be given during the regularly scheduled class periods. The examinations will emphasize the material in lectures and homework assignments. Your work should be neat and orderly to earn full credit on a problem. No make-up examinations will be given. In case you have a legitimate reason for missing an exam, consult with me before, or at least within 24 hours after the exam. Requests for correction of grading mistakes on exams can be made when the work is returned to you. The requests must be made within two days after getting your grade. Requests should be written. In their request, students must explain why they believe there is a mistake in grading and why they deserve more credit. However, clerical errors (e.g., addition errors) will be corrected immediately. |
Final Exam |
Friday 29 May, 2015,
6:00 – 9:30 pm Oceanography & Physical Sciences Building (OCNPS), Room 0142 |
Keys to |
In Physics 355 it is vital to both understand
the underlying concepts and apply them to problem solving.
|
Expectations |
For the most efficient use of time in class – you are expected to be prepared for class by reading the material ahead. Once again, it requires discipline, but the pay-offs are considerable. You are expected to read the sections in the textbook that are covered in class. You should spend at least 1 hour each class day working with your textbook. Exams and assignments – you are expected to do your work in a neat way (clear diagrams, equations, explanations and numbers). You must show your work and explain your reasoning to earn full credit on a problem. Finally, you are expected to ask for help when you feel you do not understand something. Do not wait until the final exam to address any problems with the material, most of the time it will be too late. |
Professional Integrity |
In Physics 355, high professional and ethical standards are promoted. Plagiarism and cheating are serious offenses and may be punished by failure on the exam and failure in the course. The academic integrity code is to be maintained at all times. |
Collaboration |
Collaboration in class and on homework assignments is strongly encouraged. Because the course is graded on an absolute scale, you will never reduce your grade by helping others — on the contrary, by doing so you will reinforce your own knowledge and improve your performance. Although, before working together or consulting others on any assignments, it is helpful to first tackle the work alone. Activities for which collaboration is not permitted are: examinations, quizzes, and submission of homework assignments. |
Date |
Pre-Class Reading Chapter.Section |
Subject |
Tuesday 12 May 2015 |
2.1 2.2 3.1–3.3 |
Review of Differentiation Review of Integration Complex Variables |
Wednesday 13 May 2015 |
3.4–3.7 4.1–4.5 4.6 |
Complex Variables & Trigonometric
Identities Series, Sequences, and Limits Taylor Series |
Thursday 14 May 2015 |
5.1 – 5.9 |
Partial Differentiation |
Friday 15 May 2015 |
7.1 – 7.6 |
Vector Analysis |
Tuesday 19 May 2015 |
10.1 – 10.9 |
Vector Calculus |
Wednesday 20 May 2015 |
8.1 – 8.6 Chapters 1-8, 10 for Midterm |
6:00 pm - 7:15 pm: Matrices 7:30 pm - 9:30 pm: MidTerm Chapters 2-8, 10 |
Thursday 21 May 2015 |
8.7 – 8.14, 8.18 |
Linear Algebra |
Friday 22 May 2015 |
11.1 – 11.6 |
Line, Surface, Volume Integrals w/
applications |
Tuesday 26 May 2015 |
12.1 – 12.4 13.1 13.2 |
Fourier Series Fourier Transforms Laplace Transforms |
Wednesday 27 May 2015 |
14, 15 |
Linear First and 2nd Order Differential
Equations Wave Equation in 1, 2, 3 dimensions. |
Thursday 28 May 2015 |
24 |
Complex Functions, Contour Integration |
Friday 29 May 2015 |
Final Exam |