Mathematical Methods 29:4761

Mathematical Methods I


Fall 2019

Class Information

Instructor Information

Grading Policy

Possible final grades are A+,A,B,C,D,F. The grade of A+ is for performance that is a full grade above an A. Grades are based on homework scores (15%), hour exam scores (25% x2), and the final exam (35%). Exam dates will be determined by the instructor after consultation with the students. Homework assignments and important announcements will appear on the web version of this syllabus ( Homework solutions, exam solutions, and lecture notes will be posted on the class website here. Homework will be due on Thursdays. The lecture notes are for your benefit, but they are no substitute for taking your own good notes during lectures. My lecture notes are normally written during the evening before each lecture and posted on the morning of the lecture. I do not have time to proofread the notes so be warned that they may have errors. If you do not understand something in the posted lecture notes, check with me before or after class. I will try to correct errors as I go so expect changes in the latter parts of the notes.

General Information

This is the first half of a two semester course on mathematical methods in physics. The purpose of this course is to expose students to the type of mathematics that is used in intermediate and advanced physics classes. The main focus for the first semester will be on complex analysis, linear algebra and analysis. These are topics from the first two chapters and part of the third chapter of the text. These are both used extensively in the core graduate courses.

The text for this course is, "Mathematics for Physicists", Philippe Dennery and Andre Krzywicki. I will also lecture on supplementary material that not covered by the text.

In addition to the text there are a number of excellent references on specific areas of mathematics that are used in physics. The references listed below go deeper in many of the subjects that I will cover in this class and cover some relevant areas of mathematics that will not be covered in this class; I have chosen them because they are the books that I have found to be useful both as a student, teacher, and researcher.

Homework Assignments and Calendar

Week 12
  • Tuesday, November 12
  • Lecture 23:
  • Reading:
  • Thursday, November 14
  • Lecture 24:
  • Reading:
  • Homework #12: Assignment 12 solutions, due, Thursday, November 21

  • Week 14
  • Tuesday, December 3
  • Lecture 27:
  • Reading:
  • Thursday, December 5 - second mid term exam
  • sample exam sol:
  • exam 2 solutions:
  • exam 2 review notes:

    Students with Disabilities

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    Student Complaints:

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    Ordinarily, the student should attempt to resolve the matter with the instructor first. Students may talk first to someone other than the instructor (the departmental executive officer, or the University Ombudsperson) if they do not feel, for whatever reason, that they can directly approach the instructor.

    If the complaint is not resolved to the student's satisfaction, the student should go to the departmental executive officer.

    If the matter remains unresolved, the student may submit a written complaint to the associate dean for academic programs. The associate dean will attempt to resolve the complaint and, if necessary, may convene a special committee to recommend appropriate action. In any event, the associate dean will respond to the student in writing regarding the disposition of the complaint.

    For any complaint that cannot be resolved through the mechanisms described above, please refer to the College's Student Academic Handbook for further information.