# Course

Course Summary
Credit Type:
Course
ACE ID:
SDCM-0016
Organization's ID:
Math 104
Organization:
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

• Examinations
• Quizzes

## Minimum Passing Score:

70%
Supplemental Materials