Introduction to partial differential equations.
Introduction to system of differential equations. MA-106 Ordinary Differential Equationsįirst-order differential equations and their applications, linear differential equations with constant coefficients and their applications, Euler- Cauchy equations, method of variation of parameters, theory of power series method, Legendre's equations, Bessel's Equation. Myers, Probability and Statistics for Engineers and Scientists, Macmillan publishing Company, New York,7th edition,(2001). Thomas and George.B., Calculus and Analytical Geometry, Addison-Wesley,(11th Edition). ANTON, BIVENS & DAVIS, CALCULUS, Laurie Rosatone, (10th Edition) (2012). Reference Books:2. MA-105 Multivariable CalculusĬonic Sections (hyperbola, parabola, ellipse circles), Vectors in IR (dot product, vector product) lines and planes, geometry of space curves, Multivariable Calculus (double integral, area volume, surface area, Jacobian, parametric equation and polar coordinates, multiple Integrals, Calculus of Vector Fields (line integral, surface integral independence of path, Green's theorem, divergence theorem, Stokes' theorem). Myers, Probability and Statistics for Engineers and Scientists, Macmillan publishing Company, New York, 7th edition,(2001).
Limits, Continuity, Derivatives, The Chain Rule, Applications of derivatives, Mean Value theorem, Extreme Values, Curve Sketching, Integration, Integration by substitution running the chain rule backwards, Applications of integrals, Techniques of integration, Transcendental Functions-Natural Log and Exponential functions, L'Hôpital's Rule, inverse trigonometric function, hyperbolic functions Infinite Series, Complex Numbers
Under Graduate Programs: MA-101 Calculus I
0 kommentar(er)
