# Course

Course Summary
Credit Type:
Course
ACE ID:
OOSL-0012
Organization's ID:
MAT250
Organization:
Location:
Online
Length:
14 weeks (75 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 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 gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications.

## Learning Outcomes:

• demonstrate the continuity or discontinuity of a function
• demonstrate various rules of derivatives
• compute derivatives
• demonstrate derivatives for trigonometric, exponential, and logarithmic functions
• apply implicit differentiation
• use tangent line approximation
• use derivatives to solve optimization and related rates problems
• sketch graphs using derivatives
• solve integrations using the substitution method
• illustrate the Fundamental Theorem Of Calculus
• compute the area between curves using integration
• apply L’Hôpital’s rule to find the limit of indeterminate forms
• use logarithmic differentiation
• apply various techniques to evaluate integration
• demonstrate convergence and divergence of improper integrals
• solve first order linear differential equations.
• solve limit problems by using various limit laws

## General Topics:

• Special functions (trigonometric, exponential and logarithmic functions)
• Limits
• Derivatives
• Computational techniques (the power, product and quotient, and chain rules)
• Elementary functions and their inverses
• Implicit differentiation
• Applications of differentiations
• Curve sketching
• Integration
• Infinite series
Instruction & Assessment

## Instructional Strategies:

• Audio Visual Materials
• Computer Based Training

• Examinations
• Quizzes

## Minimum Passing Score:

70%
Supplemental Materials

(OOSL-0009)
(OOSL-0010)
(OOSL-0063)
(OOSL-0041)