Mathematics MTH001 Elementary Mathematics MTH100 General Mathematics MTH101 Calculus And Analytical Geometry MTH201 Multivariable Calculus MTH202 Discrete Mathematics MTH301 Calculus II MTH302 Business Mathematics & Statistics MTH303 Mathematical Methods MTH401 Differential Equations MTH501 Linear Algebra MTH601 Operations Research MTH603 Numerical Analysis
 MTH603 - Numerical Analysis Course Page Mcqs Q & A Video Downloads Course Category: Mathematics Course Level: Undergraduate Credit Hours: 3 Pre-requisites: MTH202

# Course Synopsis

Emphasis will be laid, in this course, on learning the Numerical methods to solve the Linear, Non-linear Equations, Interpolation and Different Numerical Methods to solve the problems of Integration, Differentiation and Differential Equations that cannot be solved exactly by the Integration and Differentiation Techniques. So, the use of Numerical Techniques for these sorts of problems will be very handy.

# Course Learning Outcomes

At the end of the course, you should be able to:
• Describe difficulties that can arise because computers usually use finite precision
• Grasp the numerical techniques and should be able to use a variety of methods in solving real-life, practical, technical, and theoretical problems which cannot be solved by other methods
• Apply the Bisection, Regula Falsi, Newton and Iteration methods to solve a non-linear equation
• Apply the different method to solve linear Equations
• Construct Lagrange and Newton forward difference interpolation polynomials for a given set of data
• Apply Trapezoidal and Simpson’s rules to find the approximate value of an integral
• Describe the basic concepts behind the R-K method and apply specific R-K methods in given problems

# Course Contents

Number systems, Errors in computation, Methods of solving non-linear equations, Solution of linear system of equations and matrix inversion, Eigen value problems, power method, Jacobi’s method, Different techniques of interpolation, Numerical differentiation and integration, Numerical integration formulas, different methods of solving ordinary differential equations.

 Course Instructor Dr. Junaid Zaidi, Ph.d University of Birmingham, England (UK) Javascript is disable - Webestools - Vote Service (notation module) Dr. Ataullah Kalim Ph. D (Fluid Mechanics) University of Essex, Colchester, UK Javascript is disable - Webestools - Vote Service (notation module) Books Numerical Analysis by Richard L.Burden & J.Douglas Faires Numerical analysis with C++ by Dr.Saeed Akhtar Bhatti Numerical methods for mathematic ,science and Engineers by John H. Mathews Numerical Methods by Dr V N Vedamurthy