Greg Martin - Math 599 Long Teaching Presentations

MATH 599 Long Teaching Presentations

I have listed the topics in the order they might appear in a calculus syllabus. For the long teaching presentations, we will actually be presenting these topics in order. Note that there might be more material for your assigned topic than you can reasonably cover in one lecture. The numbers in parentheses refer to the section number in the 6th edition of Edwards and Penney's calculus textbook which is currently being used in Math 100. I will keep a copy of this textbook in my office which you can refer to anytime I am there. Feel free to ask me questions about the scope of your topic.

When you prepare your 50-minute presentation, you may assume that the “class” is familiar with all of the topics listed before yours. In particular, pay attention to the presentation directly before yours, and see if you can have your presentation flow logically from its predecessor. (But if the lecture before yours didn't have time to cover all the material in its section, don't feel that you have to make up for it at the expense of your own material.) Think also about the possibility of providing glimpses of the material to come.

The Concept of Limits (2.2/2.3)—Jamie—Fri Oct 11
The Concept of Continuity (2.4)—Alicia—Wed Oct 16
The Derivative and Rates of Change (3.1)—Chris—Fri Oct 18
Basic Differentiation Rules (3.2)—Joseph—Mon Oct 21
More about derivatives; The Chain Rule (3.2/3.3)—Arlon—Wed Oct 23
Maxima and Minima of Functions on Closed Intervals (3.5)—Huan—Fri Oct 25
Applied Optimization Problems (3.6)—Olivier—Mon Oct 28
Derivatives of Trigonometric Functions (3.7)—Benjamin W.—Wed Sep Oct 30
Exponential and Logarithmic Functions (3.8)—Miguel—Fri Nov 1
Implicit Differentiation and Related Rates (3.9)—Aleck—Mon Nov 4
Succesive Approximations and Newton's Method (3.10)—Liam—Wed Nov 6
Increments, Differentials, and Linear Approximation (4.2)—Amin—Fri Nov 8
Increasing and Decreasing Functions and the Mean Value Theorem (4.3)—Mariah—Wed Nov 13
The First Derivative Test and Applications (4.4)—Kang—Fri Nov 15
Simple Curve Sketching (4.5)—Ben Y.—Mon Nov 18
Higher Derivatives and Concavity (4.6)—Rodrigo—Wed Nov 20
Curve Sketching and Asymptotes (4.7)—Jeremy—Fri Nov 22
Separable Differential Equations and Models (8.1/8.3)—Mat—Mon Nov 25
Infinite Series and Convergence (10.3)—Rosalía—Wed Nov 27
Taylor Series and Taylor Polynomials (10.4)—Dan—Fri Nov 29

Skipping Groups

For the most part, your group will skip Mondays or Wednesdays or Fridays. The exceptions are:

Group C beware: nobody skips the first long presentation (Friday, October 11) or the class where you fill out teaching evaluations of me (Friday, November 22).
Group A, not Group B, will skip Wednesday, October 16 to make up for the Remembrance Day holiday.

Group A (skipping Wed Oct 16 and Mondays Oct 21, Oct 28, Nov 4, Nov 18, and Nov 25): Amin, Chris, Dan, Huan, Jamie, Kang, Miguel

Group B (skipping Wednesdays Oct 23, Oct 30, Nov 6, Nov 13, Nov 20, and Nov 27): Aleck, Alicia, Ben Y., Joseph, Mat, Olivier

Group C (skipping Fridays Oct 18, Oct 25, Nov 1, Nov 8, Nov 15, and Nov 29): Arlon, Benjamin W., Jeremy, Liam, Mariah, Rodrigo, Rosalía

Remember that your contribution to this skipping policy is simply to remain diligent about your participation when you are not skipping. In particular, if you have to miss a class for some miscellaneous reason, please let me know in advance (as you are already doing) and make it up by not skipping your next skip day.