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Old 12-06-2017, 11:18 AM
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Default 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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Old 12-06-2017, 12:02 PM
satish satish is offline
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Default 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 AM-GM inequality, Cauchy-Schwarz inequality, Intervals and
neighbourhood, Hausdorff property, Bounded sets, Continuum property (l.u.b.
axiom-statement, 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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