Course Rationale

Numerical analysis, area of mathematics and computer science that creates, analyzes, and implements algorithms for obtaining numerical solutions to problems involving continuous variables. Such problems arise throughout the natural sciences, social sciences, engineering, medicine, and business. Since the mid 20th century, the growth in power and availability of digital computers has led to an increasing use of realistic mathematical models in science and engineering, and numerical analysis of increasing sophistication is needed to solve these more detailed models of the world. The formal academic area of numerical analysis ranges from quite theoretical mathematical studies to computer science issues. With the increasing availability of computers, the new discipline of scientific computing, or computational science, emerged during the 1980s and 1990s. The discipline combines numerical analysis, symbolic mathematical computations, computer graphics, and other areas of computer science to make it easier to set up, solve, and interpret complicated mathematical models of the real world.

 

Course Objective

The aim of this course is to teach the students’ different numerical methods which are essential in many areas of modern life. This course will develop their programming knowledge and analysis ability of the underlying mathematics in popular software packages. From this course, students’ will learn:

·         Computing integrals and derivatives

·         Solving differential equations

·         Building models based on data, be it through interpolation, Least Square,  

          or other methods

·         Root finding and numerical optimization

·         Estimating the solution to a set of linear and nonlinear equations

·         Computational geometry

Course Outcomes (CO’s)

CO1	Solve differential equations that arises in the field of engineering and interpret the result.
CO2	Estimate  errors in calculation of various methods
CO3	Develop codes and analyze its efficiency level
CO4	Explain numerical procedures that are used in developing different software packages
CO5	Apply knowledge and skills to optimize a problem

 

Program Outcomes (PO’s)

CO-PO Mapping

PO’s CO’s

PO1

PO2

PO3

PO4

PO5

PO6

PO7

PO8

PO9

PO10

PO11

PO12

CO1

√

√

CO2

√

√

CO3

√

√

CO4

√

√

CO5

√

√

 

Grading Scheme:

Attendance-                                             07
Quiz               -                                          15
Assignment-                                            05
Presentation-                                          08
Mid -Term Exam-                                    25
Final Exam-                                              40
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Total-                                                       100