Course

Credit Type:
Course
ACE ID:
OOSL-0012
Version:
5
Organization's ID:
MAT250
Organization:
Location:
Online
Length:
14 weeks (75 hours)
Minimum Passing Score:
70
ACE Credit Recommendation Period:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 4 Calculus I
Description

Objective:

The course objective is to acquaint students with calculus principles such as derivatives, integrals, limits, approximation, applications and modeling, and sequences and series. During this course students will gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications.

Learning Outcomes:

  • Solve the limit problems by using various Limit laws
  • Demonstrate the continuity or discontinuity of the function
  • Demonstrate various rules of derivatives
  • Compute derivatives
  • Demonstrate derivatives for trigonometric, exponential, and logarithmic functions
  • Apply Implicit differentiation
  • Sketch the graphs using the derivatives
  • Illustrate the Fundamental Theorem of Calculus
  • Compute area between the curves using integration
  • Apply L’Hôpital’s Rule to find the limit of indeterminate forms
  • Demonstrate convergence and divergence of improper integrals
  • Solve vertical motion problems

General Topics:

  • Preliminaries and Functions
  • Limits and Continuity
  • Derivatives
  • Computational Techniques
  • Implicit Differentiation
  • Dealing with Indeterminate Forms
  • Application of Differentiations
  • Curve Sketching
  • Introduction to Integrals
  • Techniques of Integration
  • Special Functions
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Computer Based Training

Methods of Assessment:

  • Examinations
  • Quizzes
Supplemental Materials
Equivalencies