Course

Course Summary

Credit Type:

Course

ACE ID:

OOSL-0012

Organization's ID:

MAT250

Organization:

StraighterLine

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