Master Course Outline
MATH& 153
Calculus III

Credits: 5 
Clock Hours per Quarter: 50
Lecture Hours:50

Description
Continuance of MATH& 152, topics include differential equations, infinite sequences and series, parametric curves, vectors, and vectorvalued functions. Prerequisite: Grade of C or higher in MATH& 152 or permission of Mathematics Department. Formerly MATH 126, Calculus with Analytic Geometry III. 
Intended Learning Outcomes
Optional (to be included in either MATH 125 or 126 but not both): Successfully solve firstorder differential equations graphically (slope fields), numerically (Euler's method), analytically (separation of variables), all in the context of substantial applications.
Determine convergence (divergence) of infinite sequences and series using the Nth term test, integral test, Pseries test, comparison and limit comparison tests, absolute comparison test, ratio and root tests.
Develop an understanding of power series and their applications.
a. Radius and interval of convergence.
b. Termwise differentiation and integration.
c. Approximating values of functions and integrals.
d. Binomial series.
Develop an understanding of R3.
Plot and analyze both functions and parametric surfaces in R3 using appropriate technological tools.
Graph and analyze both two and threedimensional parametric curves using appropriate technological tools.
Perform integral computations with parametric curves.
Successfully graph and analyze two and threedimensional vectorvalued functions in the context of motion of a point in the plane or space using appropriate technological tools.
Technological skills integrated into the course include, but are not limited to, the following:
evaluation antiderivatives graphically using computer or calculator programs involving slope fields, plotting parametric equations in the plane and in space, plotting polar equations in the plane, plotting surfaces described by either functions of x and y or parametric equations.


Syllabi Listing See ALL Quarters
Course 
Year Quarter 
Item 
Instructor 

MATH& 153 
Spring 2015 
0841 
Julianne Sachs 

MATH& 153 
Spring 2014 
0841 
Megan Schoessler 

MATH& 153 
Spring 2013 
0452 
Julianne Sachs 

MATH& 153 
Spring 2011 
1494 
Julianne Sachs 

MATH& 153 
Spring 2010 
1490 
Eric Schulz 


Two Year Projected Schedule
Year One* 
Year Two** 
Fall 
Winter 
Spring 
Summer 
Mini 
Fall 
Winter 
Spring 
Summer 
Mini 


X





X




*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
