MM - 355 Calculus III

 

Welcome to Springfield Technical Community College's MM 355, Calculus III, distance learning project. This course is offered over the WWW by Prof. Richard Burns in order to better serve our students who, for any number of valid reasons, may find it difficult to attend our evening division program in the traditional manner.

 

ATTENTION! All students signing up for Calculus 3. I am modifying the MATH355 site, transfering it to blackboard. The basic content is here, but there will be some changes in administration. Please email me after you have enrolled and I will contact you.

We will cover the MM - 355 syllabus. Twenty-three lectures will be presented as individual web pages with graphics generated by Mathematica 3.0. Homework will be assigned and questions will be answered. The same Mathematica labs that are found in the traditional course are to be completed here. Tests, as usual, will be administered and graded. A comprehensive final exam will be given to each student finishing the course. The final grade will be the combination of tests, labs and final exam given in the syllabus. I will be available during the day and some nights for individual help sessions, but, in general, all work, tests, labs and questions will take place over the internet.

 


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Syllabus

Mathematica Labs

12.1, 12.2 Plane curves and parametric equations

12.3,12.4 Polar graphs

12.5 Area and arc length

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13.1,13.2 Vectors and vector operations

13.3, 13.4 Vector - valued functions

13.5, 13.6 Tangents, normals, arc length and curvature

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14.1, 14.2 Space vectors and operations

14.3 Lines and planes in space

14.4 Surfaces in space

14.5, 14.6 Curves and vector - valued functions in space

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15.1,15.2 Level curves, limits of f( x, y )

15.3 - 15.5 Partial derivatives and total differential

15.6 Directional derivative and gradient

15.7, 15.8 Tangent planes, normal lines, extrema

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16.1,16.2 Iterated integrals - areas and volumes

16.3 Polar coordinates

16.4,16.5 Center of mass, surface areas

16.6,16.7 Triple integrals ,cylindrical and spherical coord.

17.1, 17.2 Vector fields and Work

17.3,17.4 Line integrals and Green's Theorem

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Review

Final Exam