Mathematics II Year

Paper 1

S.No	Unit	Topic	Link	PDF
1	Unit 1	A briaf histrocal backgroud of the algebra in the context of india and indian heritage and culture	Link
2	Unit 1	A brife biography of brahmagupta	Link
3	Unit 1	Group, Subgroup and thire property	Link
4	Unit 1	cyclic group	Link
5	Unit 1	coset decomposition	Link
6	Unit 1	Lagranges and Fermats theorem	Link
7	Unit 1	Normal Subgroup	Link
8	Unit 1	Quotient groups	Link
9	Unit 2	homomorphism and isomorphism group	Link
10	Unit 2	Fundamental therem of HOmomorphism	Link
11	Unit 2	cayley theorem	Link
12	Unit 2	group automorphism	Link
13	Unit 2	inner automorphism	Link
14	Unit 2	Group automorphism	Link
15	Unit 3	Defination and basic property of ring	Link
16	Unit 3	Ring of homomorphism	Link
17	Unit 3	Subring	Link
18	Unit 3	Ideals	Link
19	Unit 3	Quotient ring	Link
20	Unit 3	polynomial ring	Link
21	Unit 3	integral domain	Link
22	Unit 3	field	Link
23	Unit 4	Defination and examples of vector space	Link
24	Unit 4	subspace	Link
25	Unit 4	sum and direct sum of subgroup	Link
26	Unit 4	linear span	Link
27	Unit 4	linere dependence	Link

Paper 2

S.No	Unit	Topic	Link	PDF
1	Unit 1	A brief historical background of calculus and partial differential equation	Link
2	Unit 1	Brief biography of Bodhayana	Link
3	Unit 1	Field structure and ordered structure of R	Link
4	Unit 1	Interval bounded and unbounded set	Link
5	Unit 1	Completeness in our absolutely value of real number	Link
6	Unit 1	Sequence of real number	Link
7	Unit 1	Limits of sequence monotonic sequence	Link
8	Unit 1	Cauchy General principle of convergence	Link
9	Unit 1	Algebra of sequence and some important theorem	Link
10	Unit 2	series of non negative term	Link
11	Unit 2	Convergence of positive term series	Link
12	Unit 2	Alternating series and leibnits test	Link
13	Unit 2	Absolute and conditional conversation of series of real term	Link
14	Unit 2	Uniform continuity	Link
15	Unit 2	Chain rules of differentiability	Link
16	Unit 2	Mean value theorems and their geometrical interpretations	Link
17	Unit 3	Limits and continuity of function of two variables	Link
18	Unit 3	Change of variable	Link
19	Unit 3	Euler theorem non homogeneous function	Link
20	Unit 3	Tailor theorem for function of two variables	Link
21	Unit 3	Jacobian	Link
22	Unit 3	Maximum and minima of function of two variable	Link
23	Unit 3	Beta and gamma function	Link
24	Unit 4	Partial different equation of the first order	Link
25	Unit 4	Lagarages solution	Link
26	Unit 4	Some special types of equation which can be solved easily by methods other than the general method	Link
27	Unit 4	Charpits general method	Link
28	Unit 4	Partial difference equation of second and higher order	Link
29	Unit 5	Classification of particle difference equation of second order	Link
30	Unit 5	Homogeneous and non homogeneous party and different equation of constant coefficient	Link
31	Unit 5	Partial difference equation to reducible with constant coefficient	Link