Course

Course Summary
Credit Type:
Course
ACE ID:
CMPS-0018
Organization's ID:
GAC016
Location:
Classroom-based
Length:
Self-paced, 12 weeks (60 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 applied calculus
Description

Objective:

The course objective is for students to demonstrate a basic understanding of the principles of calculus and how they can be applied to the quantitative analysis of practical and financial situations.

Learning Outcomes:

  • determine the derivative (if it exists) of most mathematical functions and use the derivative to analyze functional behavior
  • use techniques of integration to find indefinite and definite integrals
  • apply differentiation and integration techniques in a variety of practical problems

General Topics:

  • Differentiation (continuity and limits)
  • Derivative (gradients of secants and tangents)
  • Differentiation of functions
  • Rates of change
  • The product, quotient and chain rule
  • Differentiation (exponentials and logarithms)
  • Integration
  • The primitive function and indefinite integrals
  • Definite integrals and the area under a curve
  • The volume of rotation
  • Advanced applications
  • Motion in a straight line
  • Approximation methods in integration
  • Problems involving maxima and minima
  • Exponential growth and decay
  • Further growth and decay
  • Verhulst-Pearl logistic function: the natural law of growth
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Case Studies
  • Classroom Exercise
  • Computer Based Training
  • Discussion
  • Laboratory
  • Learner Presentations
  • Lectures
  • Practical Exercises

Methods of Assessment:

  • Case Studies
  • Examinations
  • Performance Rubrics (Checklists)
  • Presentations
  • Quizzes
  • Written Papers

Minimum Passing Score:

70%
Supplemental Materials