Course

Course Summary
Credit Type:
Course
ACE ID:
SDCM-0016
Organization's ID:
Math 104
Organization:
Study.com, LLC
Location:
Classroom-based
Length:
Self-paced. 6 weeks (28 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 6 Calculus
Description

Objective:

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

Learning Outcomes:

  • 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
  • Use Newton's Method to find roots of equations
  • Define the Fundamental Theorem of Calculus
  • Identify continuities and discontinuities in functions and graphs
  • Calculate higher order derivatives
  • 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

Minimum Passing Score:

70%
Supplemental Materials