Calculus: Effective Computation and Power Series

Mathematics 114, Fall 2000

NOTES AND ASSIGNMENTS

You may down load the notes and assignments (in pdf form) here. They can be viewed and printed with the free Adobe Acrobat Reader. Click here to get the latest version.)
Chapter 1. Euler's method, Modeling and the computer.
Chapter 1 (cont). Separation of Variables.
Chapter 2 Interacting Species and Chapter 3. Models of Linear Springs
Chapter 4. Taylor Polynomials
Chapter 5. Series and Convergence
Chapter 6. Functions of Several Variables

SOFTWARE

You may download some of the programs we use (GRAPH, SLINKY, QUICKBASIC) from the Calculus in Context site here.

Another possibility is to use the programs on the web. To do so, go to the Conversational Calculus site here.



Text:There is no required book for this course. If you have a calculus text from a previous course you might find that a useful reference for some parts of the course. Some parts of the course will use sections from Calculus in Context by Callahan et. al. This book is available at the bookstore, but it is not required. A variety of calculus books are available for your use in the Math Forum and in the Bass library.

Assigments: Weekly homework assignments will be collected every Tuesday. You should be prepared to discuss the homework at class time. You may work together on your homework, but must write up your solutions individually. Homework can be turned in at class time or put in the envelope on my door until 5pm on the day it is due. Homeworks are considered LATE if they are not handed in by 5pm on the date they are due. You may turn in one late homework without penalty.

Grading: Homework is worth 20% of your grade. There will be 2 in class exams, 1 take home exam during the semester and a self-scheduled final each worth 20% of your grade. Take home exams must be entirely your own work and are due at class time.

EXAMS!:
The exams are tentatively scheduled for Thursday, October 12th- 19th (take home), November 14th (in class) and December 5th - December 12th(take home).



List of Topics to be covered

Review of Differentiation
Differential Equations
Convergence of Sequences
Series
Taylor Series
Functions of several variables

This list may be added to or deleted from as time and interest permit.