Mathematics I Year

Paper 1

S.No	Unit	Topic	Link	PDF
1	Unit 1	Development of India mathematics letter classes	Link
2	Unit 1	A brief by biography of varameer and aryabhatt	Link
3	Unit 1		Link
4	Unit 1	Rank of matrix	Link
5	Unit 1	Echelon and normal form of a matrix	Link
6	Unit 1	Characteristics equations of a matrix	Link
7	Unit 1	Eigen value eigen vector	Link
8	Unit 2	Cayley Hamilton theorem	Link
9	Unit 2	Applications of cayley Hamilton theorem to find the inverse of matrix	Link
10	Unit 2	Applications of matrix to solve a system of linear equation	Link
11	Unit 2	Solving linear equation up to three unknowns	Link
12	Unit 2		Link
13	Unit 3	Scalar and vector product of 3 and 4 vector	Link
14	Unit 3	Reciprocal vector	Link
15	Unit 3	Vector differential ltipn	Link
16	Unit 3	Rule of differentiation Derivative of triple product	Link
17	Unit 3		Link
18	Unit 3	Gradient,divergence and curl	Link
19	Unit 3	Directional derivatives	Link
20	Unit 3	Vector identities	Link
21	Unit 3	Vector equation	Link
22	Unit 4	Vector integration	Link
23	Unit 4	Gaus,Green Stock theorem and problem based on it	Link
24	Unit 5	General equation of second degree	Link
25	Unit 5	Tracing of conics	Link
26	Unit 5	System of conics	Link
27	Unit 5	Cone	Link
28	Unit 5	Equation of cone with given base	Link
29	Unit 5	Generators of cone	Link
30	Unit 5	Conditions for 3 mutual perpendicular generators	Link
31	Unit 5	Right circular cone	Link
32	Unit 5	Equation of cylinder and its property right circular cylinder enveloping cylinder	Link

Paper 2

S.No	Unit	Topic	Link	PDF
1	Unit 1	Development of Indian mathematics ancient and early classical period	Link
2	Unit 1	Brief biography of bhaskaracharya and Madhava	Link
3	Unit 1		Link
4	Unit 1	Leibniz theorem	Link
5	Unit 1	Maclaurinn series expansion	Link
6	Unit 1	Particle derivative of higher order	Link
7	Unit 1	Euler's theorem on homogeneous function	Link
8	Unit 1	Asymptotes of algebraic curve	Link
9	Unit 1	Conditions of extensions of asymptotic	Link
10	Unit 1	Parallel asymptotes	Link
11	Unit 1	Asymptotes of polar curve	Link
12	Unit 2	I Formula for radius of Curvature	Link
13	Unit 2	Curvature at origin	Link
14	Unit 2	Centre of Curvature	Link
15	Unit 2	Concavity and Convexity ofcurves	Link
16	Unit 2	2 Point of lnflexion'	Link
17	Unit 2	Singular point Multiple points	Link
18	Unit 2	Curves represented by Cartesian equation	Link
19	Unit 2	Curves represented by POLER equation	Link
20	Unit 3	Integration of transcendental functions	Link
21	Unit 3	Introduction to Double and Triple Integral	Link
22	Unit 3	3 Reduction formulae	Link
23	Unit 3	Quadrature	Link
24	Unit 3	For Cartesian coordinates	Link
25	Unit 3	For Polar cooidinates	Link
26	Unit 3	5 Rectification	Link
27	Unit 3		Link
28	Unit 4	Linear di fferential equations	Link
29	Unit 4	Equations reducible to the linear form	Link
30	Unit 4	Change of variables	Link
31	Unit 4	Exact differential equations	Link
32	Unit 4	First order and higher degree differential equations	Link
33	Unit 4	Equations solvable lor x, y and p Equations homogenous in x and y	Link
34	Unit 4	C lairaut's equation Singular solutions	Link
35	Unit 4	Geometrical meaning of differential equations	Link
36	Unit 4	Onhogonal traiectories	Link
37	Unit 5	Linear differential equation with constant coefficients	Link
38	Unit 5	Homogeneous linear ordinary differential equations	Link
39	Unit 5	Linear differential equations of second order	Link
40	Unit 5	Method of variation of parameters	Link
41	Unit 5	Trarisforrnation of equations by changing the indeoendent variable	Link