**Department
of Physics and Astronomy**

Class: Tu Th 9:20-10:35 am, Darwin 31

Instructor: Dr. Hongtao Shi

Phone:** **664-2013

Email: hongtao.shi@sonoma.edu

Office: Darwin 300J

Office Hours: M 9:45-11:00 am, Th 3:45-5:00 pm, and by appointment

**Course
Description: **This
course is designed for you to become more adept at applying mathematical tools
to physics problems and get prepared for other upper division courses. You are
solely responsible for learning and applying mathematical symbolic processing
software, such as Mathematica,
Mathcad, to
the homework problems. Both are available in many on-campus computer labs, or
you can purchase them online.

**Course
Objectives:** You are
required to demonstrate (a) knowledge, understanding and use of the principles
of physics, (b) ability to use reasoning and logic to define a problem in terms
of physics principles, and (c) ability to use mathematics and computer applications
to solve physics problems. By the end of this course it is to be expected that
the students will have acquired a concrete understanding of the following topics:
Coordinate Systems, Vector Algebra and Calculus, Reciprocal Vectors, Complex
Numbers, Partial Differentiation, Differential Equations, Stationary Values
under Constraints, Matrices, Eigenvalues and Eigenfunctions, Orthonormal Functions,
Fourier Series and Integrals, and Fourier Transformation.

**Prerequisites:**
**Physics 214:
Introduction to Physics II** and **Mathematics
261 Calculus IV**

**Required Textbook:****
Mathematical Methods for Physics and Engineering,** 3^{rd}
ed., by K.F. Riley, M.P. Hobson, & S.J. Bence, Published by Cambridge, ISBN:
0-521-67971-0.

**Recommended Reference Book:** B.
Torrence and E. Torrence, The Student's Introduction to MATHEMATICA, 2nd Edition,
Cambridge, 2009, ISBN 978-0-521-71789-2.

A Student's First Course in Mathematica

Beginner's Guide to Mathematica (Michigan State University)

Mathematica Tutorials: Part I, Part II (Brown University)

Course Outline:

Chapters |
Sections to be covered |

1. Preliminary Algebra |
1.1-1.4 |

2. Preliminary Calculus |
2.1, 2.2 |

3. Complex Numbers |
3.1-3.4 |

5. Partial Differentiation |
5.1-5.5, 5.9 |

14. Differential Equations I |
14.1, 14.2 |

7. Vector Algebra |
7.1-7.9 |

10. Vector Calculus |
10.1-10.3, 10.6, 10.7, 10.9 |

11. Line, Surface, and Volume Integrals |
11.1, 11.3-11.5 |

12. Fourier Series |
12.1-12.7 |

8. Matrices and Vector Spaces |
8.1-8.6, 8.8-8.11, 8.13 |

**Grading Policy:**

Homework, Quizzes and
Exams |
30% Final Exam, Thursday, 12/13,
8:00-9:50 am |

20% Test 1 | |

20% Test 2 | |

30% Homework Assignments | |

Course
Grade
| Percent |
Course
Grade |
Percent |
Course
Grade |
Percent |

A | 94-100 |
A- | 90-94 |
||

B+ | 87-90 |
B | 83-87 |
B- | 80-83 |

C+ | 77-80 |
C | 73-77 |
C- | 70-73 |

D+ | 67-70 |
D | 63-67 |
D- | 60-63 |

F | Below 60 |

Other Reference Books and Tools:

by George B. Arfken, Hans J. Weber & Frank Harris (Academic Press, 2005)**Mathematical Methods for Physicists**-
by Patrick Tam (Academic Press, 2009)*A Physicist's Guide to Mathematica* -
by John W. Gray (Academic Press, 1998)**Mastering Mathematica: Programming Methods and Applications**

**Notes:**

1. Attendance is not mandatory (see
policy). You will suffer if you often miss the classes.

2. Reading and homework will be assigned every week from the book, due the following week.

3. There is no tolerance for late homework submission without a legitimate reason, as solutions will usually be posted the day after due date.

4. The lowest homework grade will be dropped when I compute your term grade.

5. You are encouraged to work in a study group in doing the homework, discussing the problems, but I expect you to write up your own solutions handed in for grading.

6. All exams are closed book/notes and must be taken at the assigned time. You can bring one (1) index card to the class with equations and formulas. No makeup will be given without a legitimate reason such as medical emergency. So arrange accordingly. Be aware that the makeup exam/quiz may be entirely different from the original one.

7. I reserve the right to raise your grade if exceptional effort and class participation are observed through the semester.

**Important University policies, such as add/drop classes, cheating and
plagiarism, grade appeal procedures, can be found at **

**http://www.sonoma.edu/uaffairs/policies/studentinfo.shtml**

Email me if you have questions or comments.

Last updated August 16, 2018