Homework #9: Chapter 9, Problems 6, 7; Chapter 10, Problem 1 ; Problems X, Y (Due 11/19)

Homework #8: Chapter 8, Problems X (Derive eqn. 8-52), 13, 17, 20; Chapter 9, Problem 1 (Due 11/12)

Homework #7: Chapter 8, Problems 1, 2, 3, 4, 6 (Due 11/3)

Homework #6: Chapter 7, Problems 1, 4, 8, 16, X3 (Due 10/22).

Homework #5: Chapter 6, Problems 1, 3, 5, 7, 8 (Just find cubic equation, don't try to factor it)

Homework #4: Chapter 3, Problem 35; Chapter 4, Problems 2, 6, 10, 12 and 4.X (Due 10/1)

Problem 4.X: Show that the sum from k=1 to N of cos((2k-1)x) equals (sin(2Nx))/(2 sin(x)).

Homework #3: Chapter 3, Problems 7, 10, 13, 15, 22 (Due 9/24)

Homework #2: Chapter 2, Problems 1, 4, 5, 10, 11 (Due 9/17)

Homework #1: Chapter 1, Problems 3,4,7,17,29 (Due 9/3)

- Instructor: Prof. Alejandro Garcia
- Office: Science 245, (408) 924-5244
- E-mail: algarcia@wenet.net
- Office Hours: Tues. and Thurs., 10:30-11:20; Tues., 16:30-17:20; also by appointment.

**Course description:** This course will present an introduction
to a variety of mathematical methods applied to problems in physics.
I plan to cover selected sections from the first eleven chapters of
the text (skipping chapter 5) plus chapter 14.
Topics include ordinary differential equations (ODEs),
infinite series, integrals and integral transforms, linear algebra,
special functions, partial differential equations (PDEs),
eigenvalue problems, perturbation theory, integral equations
and probability.

**Textbook:** J. Mathews and R. Walker, Mathematical Methods of Physics,
2nd Ed., W.A. Benjamin, Menlo Park CA (1970).
You will also need a good handbook of mathematical formulas.
I strongly recommend M. Abramowitz and I. Stegun,
Handbook of Mathematical Functions, Dover, New York (1965).
A useful supplementary text is G. Arfken, Mathematical Methods
for Physicists, 3rd Ed., Academic Press, San Diego (1985).

**Homework:** Solutions will be
available in the
Reserve Book Room, ask for binder 24444.
Late homework will not be
accepted but the lowest homework score will be dropped.

**Computers:** You are encouraged to use symbolic manipulators to assist
you with your homework as long as your solution displays
a coherent, logical train of thought. In other words,
your solution should contain enough intermediate steps
as to be easily checked by hand.

**Exams:** There will be two midterm exams plus a final exam.
Each exam will be based on problems similar to those assigned as homework.
The tests will be open book.
One sheet of notes and a calculator will be allowed in the exam.
All exams will be curved. Final exam will be cumulative.

**Grades:** Towards the final grade, homework counts 35%;
each midterm counts 20%; and the final counts 25%.

**Emergencies:** If you hear a continuous alarm or are told to evacuate the
building, walk quickly to the nearest stairway at the end of each hall. Do not
use the elevator. Take your personal belongings with you. Be quiet and follow
instructions. Move away from the building and do not return until informed by
police or coordinators.

Lecture | Sections | Date |
---|---|---|

1 | 1.1 | 8/27 |

2 | 1.2-3 | 9/1 |

3 | 2.1-3 | 9/3 |

4 | 3.1; A.1-2 | 9/8 |

5 | 3.3 | 9/10 |

6 | 3.4-6 | 9/15 |

7 | 4.1-2 | 9/17 |

8 | 4.3-5 | 9/22 |

9 | 6.1-4 | 9/24 |

10 | 6.5 | 9/29 |

11 | 6.6-7 | 10/1 |

12 | Leeway | 10/6 |

13 | Midterm #1 | 10/8 |

14 | 7.1 | 10/13 |

15 | 7.2 | 10/15 |

16 | 8.1-2 | 10/20 |

17 | 8.3 | 10/22 |

18 | 8.4 | 10/27 |

19 | 9.1-3 | 10/29 |

20 | 9.4 | 11/3 |

21 | 9.5 | 11/5 |

22 | 10.1 | 11/10 |

23 | 10.2-3 | 11/12 |

24 | Leeway | 11/17 |

25 | Midterm #2 | 11/19 |

26 | 11.1-2 | 11/24 |

- | THANKSGIVING | - |

27 | 11.3 | 12/1 |

28 | 14.1-4 | 12/3 |

29 | 14.5-6 | 12/8 |

Send comments to: algarcia@wenet.net