BSC Math’s Syllabus Pune University

I am currently doing BSC from Pune University and I need 1st year Math’s Syllabus of the BSC so please can you give me the syllabus and tell me form where I can download the syllabus?

[Shaleen]

Here is the syllabus for F.Y.B.Sc (Mathematics) paper 1 .

1) Sets (4 Lectures)
1.1 Power set of a set, Product of two sets.
1.2 Equivalence relations, partitions of sets, Equivalence classes.
2) Functions (4 Lectures)
2.1 Definition of a function. Domain, co-domain and the range of a function.
Review of injective, surjective and bijective functions, Composition of functions. Invertible functions and the inverse of a function.
2.2 Binary operations.
3) Integers (14 Lectures)
3.1 Well Ordering Property (W.O.P) for N.
3.2 Divisibility in Z: Definition and elementary properties. Division Algorithm,
G.C.D.and L.C.M of two integers. Basic properties of G.C.D. including G.C.D.for any two integers a and b if it exists, is unique, and can be expressed as ua+vb. Euclidean Algorithm.
3.3 Primes. Euclid’s Lemma, Unique Factorization Theorem.
3.4 Congruences: Definition and elementary properties. The set Zn. Fermat’sTheorem. Euler phi-function. Addition modulo n , multiplication modulo n and its properties.

For the rest of the syllabus I am uploading the PDF file here.

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