NTRCA college written syllabus

E:\NTRCA\Exam\17th Exam'20\Written\Syllabus\Written_College level_17th Exam-2020 (1-52 code) (Main).doc    34 
integral calculus 
 
7c 
• determine Complementary 
Function/Particular  
  Integral/ General Solution of a differential  
  equation 
 
 Differential Equation: Differential 
equations of first order and first degree, 
linear differential equations with constant 
co-efficients. 
8a  
•design algorithm to solve a problem 
 
8b  
• code and refine program 
 Unit 8   
 Programming in Fortran: Problem 
analysis and development of algorithms , 
Program coding, execution, design, 
validation and refinement  
10 
9a 
•Identify advantage, disadvantage and 
limitations of different method to solve 
equation of one variable  
9b 
• Solve equation of one variable using different 
method. 
9c 
•Use appropriate formula estimating inner 
unknown value with the help of given set of 
observation. 
9d  
•Construct a polynomial function using given 
set of observation. 
Unit 9 
Numerical Analysis: 
  Solution of equation in one variable: 
Bisection algorithm. Method of false 
position. Fixed point iteration. Newton-
Raphson method. Convergence analysis. 
 Interpolation and polynomial 
approximation: Newton’s forward and 
backward, Newton’s general formula. 
Taylor polynomial, Lagrange polynomial, 
Iterated interpolation, Extrapolation. 
  
10 
10a 
• understand the characteristics of convex set. 
10b 
• find out the feasibility and optimality of a 
linear programming problem 
10c 
• formulate a linear programming problem 
10d 
• solve a linear programming problem 
graphically. 
Unit 10   
 Linear Programming: Convex sets and 
related theorems, Introduction to linear 
programming, feasibility and optimality, 
formulation  of linear programming 
problems, 
Graphical solutions.  
 
10