Course

Course Summary

Credit Type:

Course

ACE ID:

OOSL-0019

Organization's ID:

MAT251

Organization:

StraighterLine

Location:

Online

Length:

14 weeks (75 hours)

Dates Offered:

Credit Recommendation & Competencies

Level	Credits (SH)	Subject
Lower-Division Baccalaureate	3	calculus II

Description

Objective:

The course objective is to acquaint students with the principles of calculus such as techniques of integration; application of integration; exponential and logistic models; parametric equations and polar coordinates; sequence and series; and vector and geometry.

Learning Outcomes:

apply L’Hôpital’s rule to find the limits of different indeterminate forms
compute hyperbolic functions at a given point
use hyperbolic identities
compute the derivatives of hyperbolic functions
solve integration problems using different techniques of integration (integration tables, u-substitutions, trigonometric functions, partial fraction, trigonometric substitutions, and trapezoidal rule)
apply integral calculus to compute the average value of function, volumes, arcs and lengths
use various tests to determine the convergence and divergence of sequences and series
apply Taylor and McLaurin series for polynomial approximations
demonstrate convergence and divergence of power series
solve homogeneous differential equations
use differential equations to solve growth and decay problems
solve problems based on eliminating parameters, conversion between polar and Cartesian forms, spirals and circles, polar coordinate systems, and rose curves
sketch parametric and polar curves
apply differentiation and integration to parametric equations and polar functions
apply dot product and cross product to vectors in r2 and r3
apply differentiation to vector functions.