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MAT 213E
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Course Information
Course Weekly Lecture Plan
Course Evaluation Criteria
Course Information
Course Name
Turkish
Matematik III
English
Calculus III
Course Code
MAT 213E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
3
4
3
3

Course Language
English
Course Coordinator
Cihangir Özemir
Course Objectives
1. To provide the applications of limit, continuity, partial differentiation and multiple integrals.
2. To give an ability to apply knowledge of mathematics on engineering problems
Course Description
Functions of several variables, limit, continuity, partial derivative, chain rules, directional derivative, gradient
vector, the equation of tangent plane and normal line, linearization and differentaiability, extrama of
multivariable functions, Lagrange multipliers method, Taylor formula, double and triple integrals, substitutions
in multiple integrals, applications of multiple integrals, line integrals, vector fields, path independence, potential
functions, the fundamental theorem of line integrals, Green’s theorem in the plane, surface area and surface
integral, Stokes’ theorem,
Divergence theorem.
Course Outcomes
Students completing this course will be able to :
I. Understand the multivariable functions, analyze limits, determine continuity, and compute
partial derivatives of them; find tangent planes, directional derivatives, gradients; apply
the second partials test, and Lagrange multipliers to approximate and solve optimization
problems.
II. Compute multiple integrals over rectangular regions, nonrectangular regions, and in other
coordinate systems ; apply multiple integrals in problem situations involving area, volume,
surface area etc.
III. Compute line integrals and surface integrals and apply Green’s theorem, Stoke’s Theorem
and the Divergence Theorem; find potential functions
Prerequisite(s)
Required Facilities
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