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  • 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