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| Math 232 Calculus III |
| Catalog Data |
Algebra of vectors in a plane and in space; the calculus of vectors; vector functions; basic concepts of multivariable calculus; partial derivatives; multiple integrals.
Prerequisite: Math 231
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| Textbook |
Multivariable Calculus or Calculus, Robert T. Smith and Roland B. Minton, third edition, McGraw Hill, 2007
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| Calculator Policy |
You must use a graphing calculator, such as the TI-89, on assignments and occasionally on tests.
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| Computer Usage |
You must complete several homework assignments that use commercial software called Maple.
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| Prerequisites |
You should know fundamental techniques of differentiation and integration for functions of one variable and rudiments of differential equations.
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| Goals |
The course teaches you fundamental concepts of the calculus of two and three variables. You will improve your skills in applied problem solving and reasoning requiring techniques of multivariable calculus.
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Syllabus |
| Topic |
Sections |
Classes |
Vectors and the Geometry of Space
Vectors in the plane, vectors in space, dot product, cross product, lines and plane in space, surfaces |
10.1-6 |
8 |
Vector-Valued Functions
Calculus of vector valued functions, motion in space |
11.1-3 |
5 |
Functions of Several Variables and Partial Differentiation
Functions of several variables, partial derivative, tangent planes, linear approximations, chain rule, gradient, directional derivative, chain rule, second order partial derivatives, extrema of functions of several variables |
12.1-7 |
9 |
Multiple Integrals
Double integrals, area, volume, center of mass, double integrals in polar coordinates, triple integrals, cylindrical coordinates, spherical coordinates |
13.1-3
9.4,6,7
13.5-6 |
10 |
Vector Calculus
Vector fields, line integrals, conservative vector fields, Green's Theorem |
14.1-4 |
6 |
| Tests |
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4 |
| Total |
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42 |
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| Final Exam |
The final exam is departmental and comprehensive.
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| Resources |
The
Math Center
located in Cooper Wilson 321 offers free tutoring in calculus.
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| Attendance |
You must attend class regularly.
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Academics