This course contains aims to provide students with an opportunity to review basic mathematical tools necessary for computer information system core courses.
Unit I: Sets ———————————————————————— 6 hours

 Introduction
 Types of sets
 Venn diagram
 Number of elements in a set.
Unit II: Real Numbers ———————————————————– 7 hours

 Types of real numbers
 Absolute value of real numbers
 Open and close intervals
 Linear inequality their graph
 Mathematical induction.
Unit III: Limits & Continuity ————————————————– 8 hours

 Introduction
 Limit of a function
 Techniques of finding limits
 Continuity &discontinuity
 Demand & Profit function.
Unit IV: Differentiation ——————————————————— 7 hours

 Introduction
 Techniques of differentiation
 Derivative of algebraic
 Exponential
 Logarithmic
 Simple trigonometric functions
 Higher order derivative
 Application of derivative
 Increasing & Decreasing function
 Maxima & minima of function of one variable
 Concavity of the function
 Inflection point
 Average cost & Marginal cost
 Average revenue & marginal revenue
 Profit maximization under perfect competition
 Profit maximization under monopoly.
Unit V: Functions of Several Variable ————————————— 7 hours

 Introduction
 Partial derivative
 Homogeneous function
 Euler’s theorem
 Differentiation
 Second & Higher order differentials
 Implicit functions.
Unit VI: Symbolic Logics —————————————————— 6 hours

 Introduction
 Statements
 Logical connectives
 Conjunction
 Disjunction
 Negation
 Conditional or Implication
 Bi conditional
 Logical equivalence
 Negation of compound events
 Tautology & contradiction
Unit VII: Asymptotes ———————————————————— 7 hours

 Introduction
 Determination of asymptotes of algebraic curves
 Vertical asymptotes
 Horizontal asymptotes
 Oblique asymptotes
 Asymptotes of Algebraic curves
 Asymptotes of curve in polar coordinates.
Text Books:

 Yamane, Taro; Mathematics for Economist, Prentice Hall of India.
 Chaing, Alpha C.: Fundamental Methods of Mathematical Economics, McGraw Hill International.
Reference Book:

 B.C. Das & N.B. Mukharjee Differential Calculus.