Course

Course Summary
Credit Type:
Course
ACE ID:
OOSL-0019
Organization's ID:
MAT251
Organization:
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.

General Topics:

• Indeterminate forms
• Hyperbolic functions and graphs
• Techniques of integration
• Applications of integral calculus
• Sequences and series
• Differential equations
• Parametric equations and polar coordinates
• Vector calculus
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-0109)