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Calculus at CCCCD

 

The Contra Costa Community College District is composed of 3 colleges, Contra Costa College, Diablo Valley College and Los Medanos College as well as two extension sites, the San Ramon Campus and the Brentwood Center.   The main colleges offer the entire Calculus sequence while the extension sites offer Calculus I and II.

 

The Calculus sequence has a technology requirement as part of the course.  There is a math tutoring center available on campus that is staffed by math instructors and student tutors.  The course content for each course is listed below.

 

Calculus I

Calculus II

Calculus III

Limits

Continuity

Derivative

Applications of Derivative

Extrema of functions

Graphs of functions

L’Hopital’s Rule

Introduction to integral

Applications of integral (area, volume)

 

Applications of integrals (volume, arc length, surface area, force due to pressure, etc.)

Integration techniques

Improper integrals

Introduction to differential equations

Polar coordinates

Conic Sections

Infinite series

 

Vectors and applications

Parametric equations

Partial derivatives and applications

Multiple integrals

Green’s Theorem

Divergence Theorem

Stoke’s Theorem