MTH 445 Semester 082 Real Analysis Final Project Grade

Name ____________________________   Total Points:   ________  / 100 %

Assignment:  Using your text as a resource, select a particular topic in Real Analysis and develop a Maple Worksheet on this topic.  Because the topic that you choose dictates the form and content of your Maple worksheet, I must deliberately be open-ended about what it should be.  However I do expect to be excited about the quality, creativity, and attention to detail and mathematical rigor in your worksheet. The worksheet should be much like a tutorial on the topic, so that the mathematically-sophisticated reader (and listener) will understand the presentation without prior specific knowledge on the topic.

Include in the worksheet an explanation of the subject, the important result(s) and examples or applications of the result(s) that provide insight and understanding of the result(s).

You will present your topic using your Maple worksheet to the class (Last week of the semester --two presentations per class period).  Your presentation should last 20-25 minutes. 

Suggested Topic Areas  (Does not mean that you cover ALL of that topic).

Rolle's Theorem and The Mean Value Theorem
The Riemann Integral
Taylor Polynomials and Taylor's Theorem
Convergence Criteria for Infinite Series.
LHospital's Rule
Integration by Parts
Fundamental Theorem of Calculus
Definition, Computation, Applications of Derivatives

Evaluation Rubric and Grade.

5 = Exceptional performance

4 = Above average (exceeds minimum standards)

3 = Met standard of assignment

2 = Somewhat deficient

1 = Poor performance 

0 = Extremely deficient or not done

a)  Your writing grade. (i.e. Maple worksheet)  (_______ /  45%)

0 -- 1 -- 2 --  3 -- 4 -- 5          Important points covered, mathematical concepts and terms  defined.
0 -- 1 -- 2 --  3 -- 4 -- 5          Topic covered in a thorough, non-superficial, rigorous manner.
0 -- 1 -- 2 --  3 -- 4 -- 5          Demonstrated understanding of the mathematics.
0 -- 1 -- 2 --  3 -- 4 -- 5          Maple computation features used in an effective way to illustrate graphically and symbolically ideas and applications.
0 -- 1 -- 2 --  3 -- 4 -- 5          Good formatting and layout of worksheet.
0 -- 1 -- 2 --  3 -- 4 -- 5          Good style, grammar -- spelling, and punctuation.
0 -- 1 -- 2 --  3 -- 4 -- 5          Accepted styles of mathematical writing were used.
 

b)   Your presentation grade.  (________/   45%)

0 -- 1 -- 2 --  3 -- 4 -- 5          Clearly well prepared, showing good understanding of topic
0 -- 1 -- 2 --  3 -- 4 -- 5          Topic and presentation outlined to class
0 -- 1 -- 2 --  3 -- 4 -- 5          Coherent order used.
0 -- 1 -- 2 --  3 -- 4 -- 5          Spoke clearly and effectively and with confidence. Good demeanor and posture. Professional attire.
0 -- 1 -- 2 --  3 -- 4 -- 5          Both enthusiasm and interest in topic evident.
0 -- 1 -- 2 --  3 -- 4 -- 5          Engaged the class interactively in the discussion.  Asked questions of the class members and gave opportunity for questions from the class.


c)   Your attentiveness and interest grade.    (________/   10%)
0 -- 1 -- 2 --  3 -- 4 -- 5          Shown in your classmate's presentations  --demonstrated by alertness, interaction with the presenter (including questions), and demonstration of understanding.
 
 
  
 

Grade Reduction:  _____ / 10%   "You are to meet with me on (or before) Tuesday April 14th and go over your Maple worksheet.   If what is shown to me shows poor preparation so far,  there will be a 10% reduction in the grade!!!!!"