**
Time & Location**: MWF 9:40 - 10:30 in ~~132 Lockett~~

**Effective September 28, MATH 4031-2 meets in 136 Lockett**

**
Instructor**: Dan Cohen

Office | Phone | Webpage | Office Hours | |||||

372 Lockett | 578-1576 |
www.math.lsu.edu/~cohen | MWF 10:30 - 11:30, and by appointment |

**
Graduate Assistant**: Armin Reiser will grade homework and occasionally hold office hours.

**
Text**:
*Advanced Calculus: Real Analysis with Norms*, by Leonard Richardson. We will cover portions of the first four chapters.

**
Prerequisites**:
MATH 2057 (Calculus III) and MATH 2085 (Linear Algebra), or equivalent.

**
Catalog Description**:
Completeness of the real line, Bolzano-Weierstrass theorem and Heine-Borel theorem. Continuous functions including uniform convergence and completeness of C[a,b]. Riemann integration and the Darboux Criterion.

**Homework**:
I will assign homework problems from the text essentially every
class. Assignments
will be
announced in class, and posted at
`http://www.math.lsu.edu/~cohen/courses/PastSemesters/FALL07/M4301/M4301hw.html`.
Selected homework problems will be collected (probably weekly) and graded.

Collected homework will consist primarily of proofs, indicative of the proofs you will be responsible for on the exams and final. It is important that you work consistently, conscientiously, etc. on (all of) the homework, and that you turn in all assignments, in order to get feedback on your proof-writing, any conceptual errors you might have, etc.

I will occasionally field homework-related questions in class, and am willing to answer such questions by email (I will reply to the entire class when appropriate).

Homework will be worth 100 points.

**
Exams**:
There will be two hour-long, closed-book,
in-class exams, each worth 100 points.
The exams will tentatively take place in the weeks of
October 1 and November 12. Exact
exam dates will be
announced in class. No make-up exams,
except in extreme cases. If you must miss
an exam, I will expect you to notify me
before the exam takes place.

**
Final**:
There will be a comprehensive final exam worth
150 points. The final exam is scheduled for
Thursday, December 13, 10:00 am - 12:00 noon.

**
Grade**:
Your course grade will be out
of the 450 possible points outlined above.
I will probably curve course
grades. In any case, 90-100% is assured an A,
80-89% a B, and so on.

**
Important Dates**:

Labor Day | Last day to drop | Last day to add | Fall Holiday | Last day to withdraw | Thanskgiving | |||||

September 3 | September 4 | September 6 | October 11-12 | November 9 | November 22-23 |

**Notes**:
Math 4031, if followed by either one of Math 4032 or 4035, satisfies the Advanced Calculus requirement for the Mathematics major with a mathematics concentration. It provides preparation in analysis for graduate study of mathematics and for applications. The Department recommends that majors planning graduate study in Mathematics take all three Advanced Calculus courses: Math 4031, 4032, and 4035.

Bear in mind that you are taking this course under the guidelines of the Code of Student Conduct.

Dan Cohen Fall 2007 This page: