This semester, I am serving as the teaching assistant for the Math 220 (Calculus) discussion sections AD1 and AD5 which correspond to the lecture section AL1 being taught by Randy McCarthy. The course webpage is located here; please note that this page is a supplement to, NOT a replacement of, the official course webpage.

Final Exam Review Sessions

Monday, December 15, 2008 from 6-8 pm in Room 245 Altgeld Hall

Tuesday, December 16, 2008 from 5-7 pm in Room 245 Altgeld Hall

During these review sessions please keep in mind Randy's Final Exam Outline.

Office Hours

Tuesdays 1-2 pm in Coble Hall Room B1 (very large open office in the basement)

Wednesdays 5-6 in Altgeld Hall Room 145 (Quiz or Exam Review Session)

By Appointment

Notes, Examples, and Study Aids

Reading these is NOT required for either the main lecture or the discussion. These are simply an additional reference to (hopefully) help students better understand the material.

A Diagram Sketch of the Fundamental Theorem of Calculus

A Written Sketch of the Fundamental Theorem of Calculus

Examples of Washers and Shells (from Homework)

Solutions to Exam 3

Example of Taking a Limit Using L'Hospital

Solutions to Quiz 8

Examples of Implicit Differentiation and Inverse Trig. Differentiation (from Homework)

Examples of Applying MVT to Show a Function is Increasing (from Homework)

An Example of Related Rates (from Homework)(e-mailed to the class)

Examples of Differentiation Problems (from Homework)

On Visualizing the Graph of the Derivative of a Function (Which is Graphed)

Word Problems Involving the Intermediate Value Theorem (from Homework)

Example of When lim f(x) + lim g(x) is Not Equal to lim [f(x)+g(x)] and Why Limit Rules Still Hold (from Homework)

Examples of Drawing a Function from its Derivative and Using a Graph to Find Non-Differentiable Points (from Homework)

Examples of Taking Derivatives Using Limits (from Homework)

Examples of Trigonometric Problems (from Homework)

On Simplifying Trigonometric Expressions

On a Proof of the Pythagorean Theorem

References:

Robert G. Bartle, The Elements of Real Analysis, 2nd ed, Wiley.

Robert T. Smith and Roland B. Minton, Calculus: Early Transcendental Functions, 3rd ed, McGraw-Hill.

James Stewart, Calculus: Concepts and Contexts, 2nd ed, Brooks/Cole.

Miscellaneous Remarks

4. It has been my pleasure to lead our discussions this semester. I am proud of each one of you for working hard and learning not only the required material, but improving your reasoning and problem solving abilities. Good luck on the final exam. (December 10, 2008)

3. When you are asked to compute a derivative on a quiz, you do not need to simplify your work unless it is stated otherwise.

2. I should have placed more emphasis on one particular point in my classes. Many of the limit laws I was using in class, such as distributing a limit between the sum or difference of two functions, only works when the limit of both functions exist independently. See Section 1.3 in the textbook for more details. Also, I am including an example from the homework (also listed above) of when the limit of two functions that do not exist add to make a functions where the limit of the function exists.

1. The definition of one-to-one on page 30 (section 0.3) given in the textbook is NOT the definition generally accepted in mathematics literature. The accepted definition can be realized by replacing "exactly one" with "at most one" in the definition. With respect to quiz papers, if the student uses either of these definitions correctly, no deductions will be taken with respect to this particular concept.