
MTS 102 Course Schedule  Course Code:  MTS 102 

Course Title:  Introductory Mathematics II 

Course Objective:  The objectives of this course are to
introduce students to idea of function of a real variable,
introduce students to limits and continuity,
introduce students to derivative as limit of rate of change,
expose students to various techniques of differentiation ,
present to students various applications of differentiation,
introduce integration to students as an inverse of differentiation,
introduce to students methods of integration,
present to students various applications of integration. 

Course Synopsis:  Function of a Real Variable: Definition of Functions of Real variable, Types of function. Graph
of a function of real variables: Graphical representation.Limits and continuity of functions of real
variables: Idea of limits of functions of real variable, the rate of change of a function,
differentiation from first principle, the concept of continuity of function of real variable, Limits
and limit location.Techniques of differentiation:Differentiation of the sum and difference of
functions, differentiation of a product of functions, differentiation of a quotient of functions
second and higher derivatives, differentiation of a function of a function, differentiation of
inverse functions, differentiation of implicit functions, differentiation from parametric equations.
Application of differentiation: Applications to kinematics, the tangent and normal to a curve, the
maximum and minimum of a function.Extreme curve sketching: Turning points of a
curve,minimum and maximum values of a curve.Integration: Integration of a constant,methods
of integration , integration of rational algebraic fractions, integration by substitution, integration
by partial fractions, integration of trigonometric functions . Applications of integration:
Application of geometry and mechanics, areas of plane shapes,volume of plane shapes. 

Course Lecturer:  Dr. E. A. Areo 

