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CATALOG DATA :
MA 2733. Calculus III. (3 hours) (Prerequisite: Grade of C or better in MA 1723). Three hours lecture. Further methods of integration; polar coordinates; vectors; infinite series.
PREREQUISITES BY TOPIC:
MA 1723, Calculus II. (See description of MA 1723 for detailed list of topics.)
TEXTBOOKS AND OTHER REQUIRED MATERIAL:
Calculus, 4th edition, Stewart, Brooks/Cole, 2003
COORDINATOR:
Dr. Len Miller
COURSE OBJECTIVES:
- To introduce the computer algebra system, Mathematica.
- To introduce polar coordinates and parameterized curves.
- To provide an understanding of the geometry of 3-space.
- To discuss vector-valued functions, are-length, curvature and motion in space.
- To introduce the sequences and series, including convergence tests.
- To develop an understanding of power series and the applications of Taylor series necessary for subsequent courses.
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TOPICS COVERED:
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Lecture hours
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1.
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Introduction to Mathematics
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(2 hours)
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2.
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Polar Coordinates and Parametric Equations
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(6 hours)
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3.
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Vectors and geometry of space
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(8 hours)
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4.
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Vector Valued Functions
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(10 hours)
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5.
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Infinite sequences and series
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(10 hours)
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6.
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Test/Review
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(7 hours)
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Note:
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The use of Computer Algebra Systems is required in Calculus III. Some portion of the grades should be based on the use of Computer Algebra Systems.
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CONTRIBUTION TO PROFESSIONAL COMPONENT:
Mathematics and Basic Sciences
ASSESSMENTS:
There will be at least 3 in-class exams, a final exam, and at least one project involving Mathematica.
PREPARED BY:
Dr. Vivien Miller
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