MATH 2025: Fall 2008

Integral Transforms and Their Applications

This will be a mathematical exploration of wavelets and the Fourier transform on functions.

Math 2025 Course Resources

  • Project Information
  • Web Resources
  • Prof. Olafsson's Notes
  • Prof. Cygan's Notes
  • Math 2025 Moodle
  • Math 2025 Daily Mathematica Notes

  • Mathematica Notes
  • Math 2025 Daily Assignments & Course Calendar

  • Assignments/Calendar/Test Dates
  • Section 5 Instructor: Neal W. Stoltzfus Email:
    Class: 2169 P. Taylor (a.k.a. CEBA) Office: 258 Lockett URL:
    Lockett Office Hours: 10:45am TTh Office Fax: 225.578.4276 Office Phone: 225.578.1656

    Office Hours: These times are especially reserved for you, but other times can easily arranged by appointment. If you just drop by my office, Lockett 258, when I am there I am happy to discuss things, unless I have pressing deadlines. Please introduce yourself!

    Communication: The best mode of communication is to ask questions in class. Electronic mail and telephone messages are also good for after-class short answer questions and emergencies.

    Course Structure

    Text:  Yves Nievergelt Wavelets made Easy
    We will cover (portions of) chapters 1 and 4 though 7.

    Prerequisites:  MATH 1552 (Calculus II).

    Catalog Description:  Introduction to mathematical proofs and structures using selected topics from analysis; series of functions, Fourier series, Fourier integrals, and introduction to wavelets; applications in differential equations and signal processing.

    Since MATH 2025 is a bridge course, the level of abstraction will be somewhat higher than what you've encountered in prerequisite courses.

    Advice to Students: Focus on Conceptual Understanding! To do well in mathematics, plan on spending two hours each day reading the section(s) covered, reviewing your class notes and working homework exercises. In this (and most) courses in mathematics, each subsequent section depends substantially on the preceding sections.

    I expect you to attend each regularly scheduled class and to keep up with the assigned work. Please discuss with me any emergencies requiring you to be absent, late to class or to leave early.

    Homework, Exams and Grading Policy

    Calculators, computers, etc. may not be used on the in-class exams, quizzes or final exam.

    Homework and Quizzes:  Homework will be assigned (primarily from the text), collected, and graded fairly regularly. Assignments will be announced in class, posted on the web and occasionally discussed in class as necessary. Quizzes will be tentatively given weekly, and will serve to provide in-class reinforcement of homework problems, definitions, calculations, and short proofs. Together, homework and quizzes will be worth 100 points.

    (Optional) Written Project:  There will be a optional written project on a topic of your choosing related to wavelets: their history, an application or a specific wavelet and its properties. A description of your project and potential references will be due at Tues. 25 Nov., and the final written project due the last day of classes. The project will be worth 100 points.

    Examinations:  There will be two 100 point hour-long, in-class exams. These exams will tentatively take place after we finish Chapters 4 and 6. No make-up exams, except in extreme cases. If you must miss an exam, you should notify me before the exam takes place. If you miss a test, please leave a message at 578.1656, before the test if possible. It is then your responsibility to request a makeup for legitimate absences. When a test is graded and returned, you should review it carefully. If you have any questions about the grading, please discuss them with me in a timely fashion.

    Blue Books: For redistribution for the hour tests, please bring three blue books to class on Tuesday, Sept. 2nd. Do not write in the book or fill in the cover page.

    Examination Date for Final: Wednesday, December 10: 12:30-2:30 pm

    Grading: The final exam will be 150 points of the total grade, and the homework, the optional project and each of the exams will each be worth 100 points of the total grade.

    Final Grade Determination: Each hour examination will be worth 100 points, the optional project & homework/quizzes will each be an additional 100 points and the final 150 points for a total of (450-)550 points.

    Daily assignments from the book will also be made. Homework problems are indicative of the problems you will see on quizzes and examinations. They are crucial to your development of a mastery of mathematics. Homework will be collected and graded. Work additional problems beyond those assigned if needed to develop better understanding or greater facility. The beginning of each class period will be devoted to questions concerning previously assigned work.

    September 1: Labor Day Holiday September 2: Last Day to Drop
    September 4: Last Day to Add October 9-10: Fall Holiday
    November 7: Last Day to Withdraw November 27-28: Thanksgiving
    December 5: Last Day of Class Final: Wednesday, December 10: 12:30- 2:30 pm

    Student Code of Conduct: Academic responsibilities are given in LSU Code of Student Conduct.

    Neal W. Stoltzfus   Fall 2007