Course

Credit Type:
Course
ACE ID:
SDCM-0016
Version:
4
Organization's ID:
Math 104
Organization:
Location:
Online
Length:
Self-paced. 6 weeks (28 hours)
Minimum Passing Score:
70
ACE Credit Recommendation Period:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 4 applied calculus
Description

Objective:

The course objective is to master the basics of calculus with an emphasis on limits, derivatives, and integrals.

Learning Outcomes:

  • identify continuities and discontinuities in functions and graphs
  • define and apply the intermediate value theorem
  • determine the limits of functions and use a graph to define limits
  • summarize the formal definition of a derivative and appraise graphical representations of derivatives
  • calculate derivatives of trigonometric functions, polynomial equations, and exponential equations
  • calculate higher order derivatives
  • use newton's method to find roots of equations
  • define the fundamental theorem of calculus
  • calculate integrals of trigonometric and exponential functions
  • solve integrals using substitution and trigonometric substitution

General Topics:

  • Graphing and functions
  • Continuity
  • Vectors in calculus
  • Geometry and trigonometry
  • How to use a scientific calculator
  • Limits
  • Rate of change
  • Calculating derivatives and derivative rules
  • Graphing derivatives and L'Hopital's rules
  • Applications of derivatives
  • Series
  • Area under the curve and integrals
  • Integration and integration techniques
  • Integration applications
  • Differential equations
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials

Methods of Assessment:

  • Examinations
  • Quizzes
Supplemental Materials
Equivalencies