Description
This is a first-semester course in calculus with applications in biology and life-sciences.
Prerequisites
A grade of C- or better in MATH 112, MATH113, or MATH115; or permission of department based on 3 1/2 years of college preparatory mathematics (including trigonometry) and satisfactory performance on the MATHEMATICS PLACEMENT EXAM. Credit will be granted for only one of the following: MATH 130 or MATH 140 or MATH 220.
Topics
Functions, Limits, Continuity
Exponential and Logarithmic Functions and Applications (Growth and Decay)
Trigonometric Functions
Limits, Continuity and Rates of Change
Derivatives
Definition of the Derivative
Techniques for Finding Derivatives, Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential, Logarithmic and Trigonometric Functions
Applications of the Derivative
Increasing and Decreasing Functions
Relative Extrema
Higher Derivatives and Concavity
Curve Sketching
Absolute Extrema and Applications of Extrema
Implicit Differentiation
Related Rates
Integrals
Anti-derivatives
Substitutions
Area and Definite Integral
Fundamental Theorem of Calculus
Integrals of Trigonometric Functions