BSc Maths – 1st Semester – First Year Buddy

There are two types of Maths course of BSc in DEI –

Maths Major Course (MAM)
Maths Half Course (MAH)

These two course are further divided into two parts according to their course.

There are two courses in Maths Major–

1. MAM101 (Statistics)

2. MAM102 (Discrete Mathematics)

There are two courses in Maths Half Course–

1. MAH101

2. MAH102

Syllabus

MAM101 SYLLABUS

UNIT 1
Measures of Dispersion, Range, Mean Deviation, Standard Deviation, Coefficient of Variation,
Quartile Deviation, Moments, Measures of Skewness and Kurtosis.

UNIT 2
Important concepts of probability, Mathematical Probability, Statistical Probability, Axiomatic
Approach to Probability, Addition Theorem of Probability, Conditional Probability, Multiplication
Theorem of Probability, Independent Events, Multiplication Theorem of Probability for independent
events, Pairwise Independent Events, Total Probability Rule, Bayes‟ Theorem.

UNIT 3
Random Variables: Discrete and Continuous, Probability mass function, Probability Density
Function, Distribution Function for Discrete and Continuous Random Variables. Mathematical
Expectation or Expected Value of a Random Variable, Expected Value of Function of Random
Variable, Properties of Expectation, Mean, Variance and Covariance of a random variable, Means
and Variances of Linear Combination of Random Variables.

UNIT 4
Discrete Probability Distributions: Probability Function and Properties of Bernaulli, Binomial,
Poisson, Negative Binomial, Geometric and Hypergeometric distributions and their Moment
Generating Functions.

UNIT 5
Continuous Probability Distributions: Probability Density Functions of Rectangular (Uniform)
Distribution, Normal Distribution and their Moment Generating Functions.

MAM102 SYLLABUS

UNIT1
Mathematical Logic: Propositions, Connectives, propositional formulae, truth tables, equivalence of
formulas, tautological implications, normal forms: disjunctive and conjunctive; Theory of inference
for propositional calculus; Predicate calculus: predicates, variables and quantifiers, free and bound
variables, universe of discourse, nested quantifiers, rules of inference for predicate calculus. Proof
methods.

UNIT2
Review of basic concepts in set theory: Russel‟s Paradox, Arbitrary Union, Arbitrary Intersection,
Equivalence relation, Partition of a Set, Composition and inverse of a Function; Finite sets,
Countable and uncountable sets, Axiom of choice, Partially Ordered Set, Ordered Set, Dictionary
Order Relation, Upper Bound/ Lower Bound, Maximal/Minimal Element, Supremum, Infimum,
Lattice, Zorn‟s Lemma, Well ordering principle.

UNIT3
Principles of Mathematical Induction, Division Algorithm, Prime Numbers, Euclid‟s lemma, Greatest
Common Divisor, Euclidean Algorithm, Fundamental Theorem of Arithmetic, Congruence, Properties
of Congruence, Integers Modulo n.

UNIT4
Combinatorics: Fundamental laws of counting, pigeonhole principle, permutations, combinations,
binomial theorem, multinomial theorem, principle of exclusion and inclusion, derangements,
permutations with forbidden positions.

UNIT5
Discrete numeric functions, Generating functions, Recurrence relations.

MAH101 SYLLABUS

UNIT 1
Measures of Dispersion, Range, Mean Deviation, Standard Deviation, Coefficient of Variation,
Quartile Deviation, Moments, Measures of Skewness and Kurtosis.

UNIT 5
Continuous Probability Distributions: Probability Density Functions of Rectangular (Uniform)
Distribution, Normal Distribution and their Moment Generating Functions.