Instructor: Stefano Profumo

Office: ISB, Room 325

Phone Number: 831-459-3039

Office Hours: Tuesdays and Thursdays 2:30 - 3:30 PM (or by app.)

E-mail: profumo AT scipp.ucsc.edu

Teaching Assistant: John Kehayias

Office: ISB, Room 262

Phone Number: 831-459-5010

Office Hours: Wednesdays 4:00 - 5:00 PM

E-mail: kehayias AT physics.ucsc.edu

Homework Grader: Ben Nelson

E-mail: benelson AT ucsc.edu

Click here to download the syllabus in PDF format

Lectures: Tuesdays and Thursdays, 12:00 PM - 1:45 PM, Phys. Sc. 114

Discussion Section: Wednesday evening, 5:00 PM - 6:30 PM, ISB 231 ** Starting Wednesday January 16 Discussion Section will be in ISB 235 **

Infinite series including power series, asymptotic expansions, special functions defined by an integral, complex numbers and some functions of a complex variable, topics in linear algebra including matrices and determinants, solving systems of linear equations, eigenvalue problems and matrix diagonalization, introduction to tensors.

- Physics: 5A/L, 5B/M, 5C/N
- Mathematics: 23A, 23B

*Mathematical Methods in the Physical Sciences*by Mary L. Boas

*Mathematical Methods for Scientists and Engineers*by Donald A. McQuarrie*A Mathematical Methods for Physicists*by George B. Arfken and Hans J. Weber*Advanced Engineering Mathematics*by Erwin Kreyszig

Topic | Reading | Period |
---|---|---|

Infinite Series, Power Series | Boas, Chapter 1 | Jan 8 - Jan 15 |

Complex Numbers | Boas, Chapter 2 | Jan 17 - Jan 24 |

Linear Algebra and Vector Spaces | Boas, Chapter 3 | Jan 29 - Feb 26 |

Tensor Analysis | Boas, Chapter 10 | Feb 28 - Mar 4 |

Special Functions | Boas, Chapter 11 | Mar 6 - Mar 11 |

Review | Mar 13 |

**40%**Weekly Homework (9 problem sets)**15%**First Midterm Exam (Tuesday, January 29, 2008, 12:00 PM)**15%**Second Midterm Exam (Tuesday, February 26, 2008, 12:00 PM)**30%**Final Exam (Wednesday, March 19, 8:00 - 11:00 AM)

The two midterm exams and final exams will be held in the same classroom as the lectures. Each midterm will be a one hour exams, and will be followed by a shortened lecture of 45 minutes. The final exam will be three hours long and cover the complete course material. You must take the final exam to pass the course.

Homework Set number | (PDF) | Due Date | Solutions |
---|---|---|---|

1 | phys116A_HW01.pdf | Thursday January 17 | phys116A_SL01.pdf |

2 | phys116A_HW02.pdf | Thursday January 24 | phys116A_SL02.pdf |

Midterm 1 - Practice | midterm1_practice.pdf | ||

Midterm 1 | midterm1.pdf | midterm1_sol.pdf | |

Midterm 1 - Statistics | Midterm1 - Statistics | ||

3 | phys116A_HW03.pdf | Thursday January 31 | phys116A_SL03.pdf |

4 | phys116A_HW04.pdf | Thursday February 7 | phys116A_SL04.pdf |

5 | phys116A_HW05.pdf | Thursday February 14 | phys116A_SL05.pdf |

6 | phys116A_HW06.pdf | Thursday February 21 | phys116A_SL06.pdf |

7 | phys116A_HW07.pdf | Thursday February 28 | phys116A_SL07.pdf |

Midterm 2 - Practice | midterm2_practice.pdf | ||

Midterm 2 | midterm2.pdf | midterm2_sol.pdf | |

Midterm 2 - Statistics | Midterm2 - Statistics | ||

8 | phys116A_HW08.pdf | Thursday March 6 | phys116A_SL08.pdf |

9 | phys116A_HW09.pdf | Thursday March 13 | |

First Practice Final | final_practice.pdf | ||

Second Practice Final | phys116A_HWF.pdf | ||

More Practice Final: the 2007 Final | FINAL_07.pdf | ||

Solutions to the 2007 Final | FINAL_07_sol.pdf | ||

More Practice Final: the 2006 Final | FINAL_06.pdf |

Philosophy (Knowledge) is written in that great book which ever lies before our eyes (I call it the Universe), but we cannot understand it if we do not first learn the language and grasp the symbols in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word; without knowledge of those, it's a useless wandering in a dark labyrinth.

Last reviewed 03/13/2008 by Stefano Profumo.