Section 5 | Instructor: Neal W. Stoltzfus | Email: stoltz@lsu.edu |
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Class: 2169 P. Taylor (a.k.a. CEBA) | Office: 258 Lockett | URL: www.math.lsu.edu/~stoltz/Courses/F08/2025/ |

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.

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.

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 |
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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.