Unit I : Determinants - Expansion of second and third order determinants, properties, solution of simultaneous linear equations in two and three unknowns. Consistency condition. Complex numbers - Definitions, operations, properties, Cartesian & polar forms, De Moivre's theoran and its applications.
Unit II : Matrices - Definitions and opeations, Transpose, adjoint and inverse of a matrix, solution of simultaneous linear equations in two and three unknowns.
Unit III : Application of the derivative :
Geometrical interpretation of the derivative Tangents and normals, Angle between two curves, subtangent and subnormal, Rectillinear motion, approximation, Maxima and minima, Radius of curvature.
Unit IV : Indefinite Integrals :
Standard formulae, Integration by substitution, Integration of algebraic functions, Integration by the method of partial fractions.
Unit V : Integration by parts, Trigonometric substitutions.
Definite Integral : Definition, Definite Integrals as the limit of sum, properties of definite integrals.
Unit VI : Applications of integrations : Area volume, Approximate integration,s Trapezoidal rules, simpson's rule.
Reference Books -
1. V.M. Shah Introduction of calculus.
2. S.P. Deshpande, Mathematics for Polytechnic students, Pune Vidyarthi Griha Prakashan 1995. (I & II year Diploma)
3. B.M. Patel Mathematics for Polytechnic students, Nirali prakashan 21995 (I & II year Diploma)
4. Xth & XIIth Std. Higher Secondary school books for Maths of Gujarat Board.
5. G.V. Kumbhojkar Engg. Phandke Prakashan, Kolhapur 1995 (II Year Diploma)
>2.Applied Physics - II
>3.Applied Chemistry-II
>3.Workshop Practice-II
>4.Engg. Mechanics - II
>5.Electrical Circuit - I
>6.Engg. Drawing - II
