Christian Brothers University

Math 232 Departmental Syllabus
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

Textbook Multivariable Calculus or Calculus,
Robert T. Smith and Roland B. Minton, third edition, McGraw Hill, 2007

Calculator Policy You must use a graphing calculator, such as the TI-89, on assignments and occasionally on tests.

Computer Usage You must complete several homework assignments that use commercial software called Maple.

Prerequisites You should know fundamental techniques of differentiation and integration for functions of one variable and rudiments of differential equations.

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.


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 4
Total 42


Final Exam The final exam is departmental and comprehensive.

Resources The Math Center located in Science 116 and 151 offers free tutoring in calculus.

Attendance You must attend class regularly.