Syllabus for Math 171 Calculus 1 on the Web Summer 1

John Jernigan.

These rules must be followed:

* This is not a self paced class. You have three assignments due per week: a homework due Tuesday, a homework due Friday, and an Exam due Sunday. All assignments are due by 8:00 pm, and may not be taken after that time. You may spend as much time as you like on the homework, using the on line help and hints. You need not complete it in one sitting. However, the exams are 90 minutes and may not be taken more than once. Of course you are free to complete any assignment and exam before the due date and time, and are encouraged to do so.

* Canvas is your course syllabus. The weekly topics can be found in the modules in Canvas.

* All the work is done in WebAssign. Create an account in WebAssign immediately. Your course code is ccp 8065 0336.

* College Policy states if you miss two weeks of class, you may be dropped from the course for lack of attendance. Missing two assignments is the same as missing one week of class.

* Communication is essential.

* It is your responsibility to keep me informed as to what you are doing. If you are having any problems, send me an email through WebStudy.

* Additional Help: You may use any additional help you need to do the homework problems: a graphing calculator, a computer algebra system such as maple, or the free web based wolframalpha. You may also use the learning lab. You are also encouraged to use my office hours.

Purchase the text immediately. Get started reading sections 1.1 - 1.6.

Log in to WebAssign and work through the problems in Assignment 1.

Important note about WebAssign: it is not perfect! Sometimes you may be sure you are writing the correct answer but it tells you otherwise. The most common reason for this is syntax; it is only a computer and cannot tell what you really mean. For example, you may write "sinx" when it should be "sin(x)". Use the template when possible. But most importantly do not get frustrated. If you are fairly sure you are correct, contact me and I will fix your grade. Do not keep trying to put in the same answer. You will only get annoyed. Communication with me is the key.

Topics for this week are from Chapter 1 of the text:

Week 1:

1. Polynomials Functions: Domain and Range, Degree, Leading Coefficient,Constants
2. Rational Functions
3. Exponential Functions
4. Logarithmic Functions
5. Trigonometric Functions
6. Inverse Trigonometric Functions

Week 2:

2.1: Tangent and Velocity Problem
2.2: Definition of a Limit
2.3: Calculating Limits Using Limit Laws
2.5: Continuity
2.7: Rates of Change; The Difference Quotient

Week 3:

2.8: Definition of the derivative
2.9: The derivative as a function
3.1: Derivatives of polynomials, exponential functions and trigonometric functions
3.2: Shortcuts to finding derivatives: The sum, product and quotient rule
3.4: Derivatives of trigonometric functions

Week 4:

3.5: Using the chain rule
3.6: Implicit differentiation
3.7: The second derivative
3.8: Derivatives of inverse functions: The derivative of the logarithm and logarithmic differentiation

Week 5

3.10 : Related Rates
3.11: Linear Approximation
4.1: Maximum and Minimum Values
4.2: The Mean Value Theorem

Week 6:

4.3: How derivatives affect the shape of the graph
4.4: L'Hopital's Rule
4.5: Summary of curve sketching

Week 7:

4.6: Graphing and Graphing with technology
4.7: A few scary "word problems".
4.9: Newton's Method
4.10: Anti-Derivatives

Week 8:

5.1 Areas and Distance
5.2: The Definite Integral
5.3: The Fundamental Theorem of Calculus

Week 9:

5.4: The Net Change Theorem
5.5: Substitution Rule.

Week 10:

Review and Final