Description: Basic ideas of differential and integral calculus, with emphasis on models and techniques relevant to the life sciences.

Prerequisites:

A grade of C- or better in  MATH135; or permission of department based on 3 ½ years of college preparatory mathematics (including trigonometry) and satisfactory performance on the Mathematics Placement Exam. Credit will only be granted to Math 120, Math 130, Math 136, or Math 140.

Topics:

Limits and Continuity

Limits of functions

Continuous functions

Derivatives and their Applications

Derivatives and their interpretation as rates of change

Derivatives of functions

Computing derivatives

Implicit differentiation and related rates

Applications of derivatives

Integration and Applications

Estimating the area under a curve and the horizontal axis

Antiderivatives and Fundamental Theorem of Calculus

Methods of integration

Applications of integration

An Introduction to Differential Equations

Separation of Variables

Equilibria and Limited Population Growth

Learning Outcomes: After completing this course, students should be able to demonstrate:

1. An understanding of basic differential and integral calculus concepts and their applications to life sciences including: limit, continuity, differentiation, and integration.

2. A mathematical understanding of biological data, including data collection, visualization/display, and analysis.

3. An understanding of continuous mathematical models of biological systems.