Description
MTH 101: ELEMENTARY MATHEMATICS I (3, 1, 0) Set theory: fields,
union, intersection, complements functions and their inverses. Real
Number systems: Integers, rational and irrational numbers, mathematical
induction; sequences and series, quadratic equations, absolute values,
identities, inequalities and partial fractions, permutations and
combinations-binomial theorem. Trigonometry: Circular measure,
trigonometric functions and their properties, additional and factor
formulae, solution of triangle. Complex Number: Algebra of complex
numbers the Argand diagram, De Movie theorem nth roots of unity.
Calculus and Real Analysis: Elementary functions of a single variable
and their graph, limits and continuity. Rates of change, tangents and
normal of a curve, differentiation of elementary function- product,
quotient, function of a function. Implicit differentiation, maxima,
minima and points of inflection, geometrical and physical applications
of the derivative, mean value theorem, parametric equations, polar
coordinates, Anti derivative, integral, various techniques of
integraltion. Volume of revolution, area of surface of revolution.