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University Of Mumbai Bsc Mathematics Syllabus
I want the syllabus of B. Sc. Mathematics I year of University of Mumbai so can you please provide me?

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Re: University Of Mumbai Bsc Mathematics Syllabus
Ok, I am providing you the syllabus of B. Sc. Mathematics I year of University of Mumbai.
University of Mumbai B. Sc. Mathematics I year syllabus SEMESTER I CALCULUS I Course Code UNIT TOPICS USMT101 UAMT101 I Real Number System and Sequence of Real Numbers II Sequences (contd.) III Limits and Continuity ALGEBRA I USMT102 I Integers and divisibility II Functions and Equivalence relations III Polynomials Semester II Calculus II Course Code UNIT TOPICS USMT201 I Series II Continuous functions and Differentiation III Application of differentiation LINEAR ALGEBRA USMT202 UAMT201 I System of Linear Equation and Matrices II Vector spaces III Basis and Linear Transformation SEMESTER I USMT 101/ UAMT 101: CALCULUS I Brief review: Domain, Range, Types of function: Injective, Surjective, Bijective, Inverse, Composite. Unit I: Real Number System and Sequence of Real Numbers (15 Lectures) Real Numbers: Real number system and order properties of , Absolute value properties AMGM inequality, CauchySchwarz inequality, Intervals and neighbourhood, Hausdorff property, Bounded sets, Continuum property (l.u.b. axiomstatement, g.l.b.) and its consequences, Supremum and infimum, Maximum and minimum, Archimedean property and its applications. Sequences: Definition of a sequence and examples, Convergence of sequence, every convergent sequence is bounded, Limit of sequence, uniqueness of limit if it exists, Divergent sequences, Convergence of standard sequences like 1 1, , n n n c n a etc. Unit II: Sequences (contd.) (15 Lectures) Algebra of convergent sequences, Sandwich theorem, Monotone sequences, Monotone convergence theorem and consequences such as convergent of University of Mumbai B. Sc. Mathematics I year syllabus Contact Mumbai University (MU) Kalina, Santacruz East, Mumbai, Maharashtra 400098 For complete syllabus here is the attachment 
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