Syllabus - MATH 21-259 CALCULUS IN THREE DIMENSIONS Summer...

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MATH 21-259 CALCULUS IN THREE DIMENSIONS Summer Session One, 2014 Instructor: Jing Liu Email: [email protected] Office: Wean Hall 8209 Tel: 412-268-8020 Office Hours: Posted on CMU blackboard Lecture time and location: M-F 9:00AM-10:20AM, WEH 4623 Course grader: Tom Murphy Email: [email protected] Textbook: James Stewart, Calculus , Early Transcendentals ; 7th edition, Thompson Brooks/Cole Publishing Co. Objectives: Upon successful completion of this course, you should be able to: Perform vector operations such as addition, scalar multiplication, dot product and cross product Find the equation of a plane or line in a three-dimensional space Find the derivative, tangent lines, and arclength of a curve in space Use cross sections to visualize surfaces given only an equation Compute partial derivatives directly, or by using the multivariable versions of the chain rule or using implicit differentiation, and use partial derivatives to find tangent planes Compute and explain the physical meanings of the gradient of a scalar-valued func- tion, divergence and curl of a vector-valued function

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