 Course Code :
MTH 211
 Level :
Undergraduate
 Course Hours :
3.00
Hours
 Department :
Department of Petroleum Engineering
Instructor information :
Area of Study :
Functions of several variables: Limits, Continuity and partial derivatives, Tangent planes and normal lines, Chain rule, Extrema and Constrained Extrema, Taylor and Maclaurin expansion. Vector analysis: Scalar and vector fields, Gradient, Divergence, Curl and Directional derivative. Multiple integrals: Double integral in Cartesian and Polar coordinates, Triple integrals, Jacobians, Line integral, Green's theorem, Gauss's theorems, Stokes's theorems.
Ordinary differential equations: Equations of first order, Separable, Homogenous, Exact, Linear, Bernoulli. Equations reducible to first order, High order linear equations, System of linear differential equations,
For further information :
Functions of several variables: limits, continuity and partial derivatives, Chain rule, Tangent planes and normal lines, Extrema and constrained extrema, Ordinary differential equations: equations of first order (separable, homogenous, exact, linear and Bernoulli), Orthogonal trajectories, Equations reducible to first order, High order linear equations, The variation of parameters and operation method, Euler's equation, System of linear differential equations, Series and tests of convergence, Taylor and Maclaurin expansion, Multiple integrals: double integral in Cartesian and Polar coordinates, Triple integrals and Jacobians, Line integral, Green's theorem.
For further information :
Books:
Book

Author

Publisher

Advanced Engineering Mathematics

Warren S. Wright, Dennis G. Zill

Jones & Bartlett Learning

Course notes :
Course notes
Handouts
Recommended books :
Recommended books
(1) Larson, R, Edwards, B & Falvo, D 2004, Elementary linear algebra, 5th edn, Houghton Mufflin, Boston, Massachusetts.
(2) Stewart, J 2005, Calculus: concepts & contexts, 3rd edn, Thomson/Brooks/Cole, Australia.
Periodicals :
www.sosmath.com, www.math.hmc.edu,
Web Sites :
www.tutorial.math.lamar.edu,
www.web.mit.edu
For further information :