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MA271 CALCULUS WITH APPLICATIONS (4 Cr.)

COURSE DESCRIPTION

Prerequisite: MA103 or MA104 or MA105 or permission of instructor.  A laptop is required.

 

General Introduction and Goals
 The course is designed for students of electronics, industrial technologies, the life sciences, social sciences, business, industrial technologies, and elementary education. It is meant to give a sampling of topics from Calculus I, II, and III with the emphasis on applications in these fields of study. Use of calculators and computer software will be included.

 

Course Content

  1. Functions
    1. Characteristics of linear, quadratic, power, and rational functions
    2. Graphs of functions
  1. Limits
  2. Derivative
    1. Tangent lines
    2. Rules for finding derivatives
  1. Applications of the Derivative
    1. Increasing and decreasing functions
    2. Relative maxima and minima
    3. Concavity
    4. Implicit differentiation, related rates
    5. Optimization problems
  1. Exponential and Logarithmic Functions
    1. Exponential growth and decay
    2. Differentiation of the exponential and logarithmic functions
  1. Integration
    1. Antiderivatives
    2. Rules of integration
    3. Area and the definite integral
    4. Using tables of integrals
  1. Applications of the Integral
  2. Multivariable Calculus
    1. Functions of several variables
    2. Partial derivatives
    3. Double integrals

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