Unit I : Recorientation :
Surds - Definition, opeations and rationalization.
Logarithms - Change of base rule and examples.
Binomial Theorem - (for intergral power) & partial fractions.
Quadratic equation : Nature of roots of quandratic equations.
Unit II : Limits, continuity (functions of one variable)
Definition of derivative, differentiation of standard functions by first principles.
Unit III : Rules of diferentiation, Differentiation of algebraic, algonometric, inverse trigonometric, exponential, logarithmic lmplient functions and compoaito functions. Higher order derivatives.
Unit IV : Poitns (Two dimension) :- Distance fomla, section formula, area of triangele, locus
of point.
Straight line - Indination and slope of a line, different forms of equations to a St. line (i) slopnetercent form, (ii) point - slope form, (iii) two point form (iv) intercept form. General equation of a straight line.
Unit V : Family of lines, condtions of concurrency of lines.
Circle : Definition, equation of a circle with given center of radius, general form of equation of circle, Equation of a circle when intercepts are given, circle passing through three points. Equation of chord, equations of tangens and normal at a point on a circle.
Unit VI : Reorientation (Trigonometirc functions as circular functions), additon and faster formula, Trigonometric function of multiple and anbumultiple angles, luverse Trigonometric functions; Trigonometric equations. Properties of triangle.
Reference Books :-
1. V.M. Shah Introduction to calculus.
2. S.P. Deshpande, Mathematics for Poltyechnic students, Pune Vidyanthi Griha Prakashan 1995 (I & II year Diploma)
3. B.M. Patel Mathematics for Polytechnic students, Nirali Prakashan 1995 (I & II year Diploma)
4. G.V. Kumbhojkar, Engineering Mathematics, Phadke prakashan Kolhapur 1995 (I & II year Diploma).
< Applied Mathematics - I
> Applied Physics - I
> Applied Chemistry - I
> Engineering Drg. - I
> Engineering Mech. - I
> Workshop Practice - I
