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Physics 385/685

Numerical Methods I - Spring 2019 (3 credits)

Dates 1/25/2019 - 05/22/2019, Friday 2:40PM - 5:10PM
Room: North Building HN 1001G

Instructor: Dr. Yao Chu                        Email: yc904@hunter.cuny.edu (best way to reach me)

Prerequisites:

PHYS121 or 120 and two semesters of calculus. MATH 254 (ordinary differential equations) is NOT a pre-req. MATH 254 is not necessary for the student since the numerical techniques for solving differential equations taught in PHYS 385/685 are quite different from the techniques taught in MATH 254.

Learning Goals:

- Distinguish problems in Physics that can be solved analytically and those cannot be solved analytically
- Learn mathematical tools for solving Physics problems expressed as differential equations numerically
- Learn how to use computer technology (e.g. Mathematica) to implement numerical methods in coding
- Calculate and compare various numerical methods in terms of number of calculations and error limits

Syllabus (Tentative):

The following are tentative topics
1. Introduction to Mathematica
2. Taylor and MacLauren Series
3. Falling Object
4. Numerical Derivative
5. More on Numerical Derivatives
6. Numerical Integration
7. More on Numerical Integration
8. Gauss Integration
9. The Euler Method
10. Simple Harmonic Oscillator
11. The Euler Cromer Method
12. The Physical Pendulum
13. The Midpoint Runge-Kutta Method
14. The Fourth Order Runge-Kutta Method
15. The Verlet Method
16. The Leapfrog Method
17. Least Square Fit
18. Matrix Manipulation
19. Systems of Linear Equations
20. Solving Equations - Bisection Method
21. Solving Equations - Newton's Method
22. Fourier Series
23. Discrete Fourier Series
24. Polynomial Interpolation

Grading:

Attendance (10%), In Class Assignment (20%), Exams 1 and 2, (20% each), Final Exam (30%)
There is no make-up exam. Your other exam will be overweighed if you miss an exam for excusable reason with documentation

No Classes
04/19/2019, 04/26/2019

Disability Accommodation

In compliance with the American Disability Act of 1990 (ADA) and with Section 504 of the Rehabilitation Act of 1973, Hunter College is committed to ensuring educational parity and accommodations for all students with documented disabilities and/or medical conditions. It is recommended that all students with documented disabilities (Emotional, Medical, Physical and/ or Learning) consult the Office of AccessABILITY located in Room E1124 to secure necessary academic accommodations. For further information and assistance please call (212- 772- 4857)/TTY (212- 650- 3230).

Academic Honesty

Hunter College regards acts of academic dishonesty (e.g., plagiarism, cheating on examinations, obtaining unfair advantage, and falsification of records and official documents) as serious offenses against the values of intellectual honesty.
The college is committed to enforcing the CUNY Policy on Academic Integrity and will pursue cases of academic dishonesty according to the Hunter College Academic Integrity Procedures.
http://www.hunter.cuny.edu/studentaffairs/repository/files/student-guide-academic-integrity.pdf

Sexual Harassment

It is the policy of The City University of New York and Hunter College to prohibit sexual harassment of employees and students. It is a violation of policy for any member of the college community to take action against any individual for reporting sexual harassment.
Hunter College has a sexual harassment panel, appointed by the President, which consists of faculty, staff, and students. The panel is charged with ensuring that the college community is familiar with the sexual harassment policies of Hunter College and the City University. Other responsibilities include investigating reports of sexual harassment and forwarding findings and recommendations to the college President. A member of the faculty, staff, or a student should report sexual harassment occurrences to a member of the Sexual Harassment Panel or to the Dean of Students, and, if required, to the local city police precinct. Reporting information can also be found in college catalogs and schedule of classes.
The entire Hunter College Sexual Harassment Policy can be found on the Human Resources website.
http://www.hunter.cuny.edu/publicsafety/repository/files/Sexual_Assault_PolicyBOTAugust20103.pdf

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