MthSc 206   Spring 2012

M-102 Martin Hall
 
Instructor: Grader:
Chanseok Park  
O-309 Martin Hall . 
Phone: 656-2730
Email: cspark (at) clemson (dot) edu 		Victoria Sincavage
Room: T.B.A.
Phone: T.B.A.
Email: T.B.A.
Office Hours:
11:00am - 12:00 (M/W),     10:00am-10:50 (Thurs)
Office Hours:
N.A.

Textbook

Multivariable Calculus   by James Stewart 7/e. [ Other options for the textbook ]

Syllabus

Syllabus (pdf)

Handout

Differentiation Formulae

Material

The course objectives are to develop an understanding of the concepts of calculus of several variables and their applications to practical problems from geometry, science, and engineering. Students will learn analytical methods and some numerical techniques thru computer software (maple). The following topics will be covered.
  1. Vectors and the Geometry of Space: We introduce vectors and coordinate systems for three-dimensional system space. We will learn that vectors provide particularly simple descriptions of lines and planes in space.
  2. Vector Functions: The functions that we have studied so far are real-valued. We will study functions whose values are vectors. Such functions are needed to describe curves and surfaces in space. We will also use vector-valued functions to describe the motion of objects through space.
  3. Partial Derivatives: The argument of the functions we have dealt with is single-valued. But, in many practical applications, physical quantities often depend on two or more variables. So it is natural to turn our attention to functions with several arguments. We also will extend the basic ideas of differential calculus to such functions (partial derivatives).
  4. Multiple Integrals: We will extend the idea of a definite integral to double and triple integrals of functions of two or more variables. These ideas are then used to compute volumes, surface areas, masses, and centroids of more general regions than we were able to consider in Calculus II.
  5. Vector Calculus: We will study the calculus of vector fields which are functions that assign vectors to points in space. This topic is of great interest in many applications. An example of a vector field is the collection of wind (or current) velocity vectors at any given time during a tornado, ocean currents, etc.

Homework

HW 1: (Due 1/20/2012): Sec. 12.1: 10, 11, 17, 20   Solution (pdf)
HW 2: (Due 1/27/2012) : Sec. 12.2: 9, 13, 17, 23, 25, 32   Solution (pdf)
HW 3: (Due 2/1/2012): Sec. 12.3: 8, 9, 15, 19, 24, 34, 39   Solution (pdf)
HW 4: (Due 2/7/2012): Sec. 12.4: 8, 14, 17, 19, 34, 40   Solution (pdf)

HW 5: (Due TBA/2012): Sec. 12.5: 5, 11, 21, 23, 31, 45, 47, 51, 63, 71  

Exam

Midterm 1: Feb 17 (Fri) (in-class) :  
Midterm 2: Mar 14 (Wed) (in-class) :  
Midterm 3: Apr 20 (Fri) (in-class) :  
Final: May 1 (Tue):   3:00pm - 5:30.

Other Links

bb.clemson.edu
Calculus Related Web

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C. Park
05/18/2012