# Instructor Class Description

Time Schedule:

Jay A Johnson
Q SCI 291
Seattle Campus

### Analysis for Biologists I

Introduction to differential calculus, emphasizing development of basic skills. Examples promote understanding of mathematics and applications to modeling and solving biological problems. Topics include optimization and curve analysis. Prerequisite: either MATH 120, Q SCI 190, a minimum score of 2 on advanced placement test, or a score of 153-163 on MPT-AS placement test. Not available for credit to students who have completed MATH 124 with a 2.0 or higher. Offered: AWS.

Class description

Course Objectives: 1. Develop an understanding of derivatives and the facility to use them. 2. Develop an appreciation for using differential calculus to solve problems and to gain insight into biologocal and physical phenomena.

Student learning goals

Know how to take derivatives of standard types of formulas encountered in most scientific disciplines.

Know how to find roots of functions using Newton's Method

Know how to locate minimums and maximums of functions

Know how to take partial derivatives

Know how to find the derivative of a relationship that is expessed in terms of parametric equations

Know a little bit about Taylors series expansions of functions

General method of instruction

Lectures and problem solving sessions. I like to use the lectures to show how various formulas, rules or procedures come about and try to provide some kind of tangible meaning to them. Real understanding only comes about as the result of working problems in which these ideas are being used. Consequently, I give out homework problems to do but every so often, I put typical homework type problems up on a screen and have the students do them in class. They can work together to learn how to do them and can ask me for help as I wander around. The point is that they must know how to do the problems to pass the class and how they learn is up to them. Apparently, research has shown that students learn from each other better than from an instructor.

Recommended preparation

MATH 120 or equivalent. It is assummed, of course, that you have mastered several skills as the result of taking math up to MATH 120 but it seems that some individuals have forgotten some things or did not learn some topics very well in the first place. It is my experience that simple algebraic manuevers and interpretation of symbols cause more difficulties for some students than some of the calculus ideas. Several skills will be required to do well in this course: simplification of expressions, understanding mathematical notation (particularly involving functions), knowing logarithms and trigonometric functions and a few relationships among them to name but a few. Some things will be reveived in the course but the student will be responcible for material that should have been mastered in previous math courses. ---> Mainly, the key to sucess will be putting time into doing the homework and working through the frustration of not seeing the "answer" immediately. You are catching on when you hear yourself say "Oh, I see!" This should happen frequently and more quickly as the course proceeds. (If you have equivalent preparation but have not taken MATH 120, please call Christy Howard at 543-1191 for an entry code.)