Course Name
BSc IT (Bachelor of Science in Information Technology)
Subject Code BT0063 (Mathematics for IT )
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PART  A
PART  B
PART  C
Mathematics for IT Syllabus.
Unit 1: Set theory
Sets and their representations; The empty set; finite and infinite sets; equal
and equivalent sets; subsets; power set; universal set; Venn diagrams;
complement of a set operations on sets; applications of sets.
Unit 2: Mathematical Logic
Basic Logical connections; Conjunction; Disjunction; Negation; Negation of
Compound Statements; Truth tables. Tautologies; Logical Equivalence;
Applications.
Unit 3: Modern algebra
Binary Operation; Addition Modulo n; Multiplication modulo n; semi group;
properties of groups; subgroup.
Unit 4: Trigonometry
Radian or circular Measure; Trigonometric Functions; Trignometrical ratios
of angle θ when θ is acute; trignometrical ratios of certain standard angles;
allied angles; compound angles; multiple and sub multiple angle.
Unit 5: Limits and Continuity
The real number system; The concept of limit; concept of continuity.
Unit 6: Differentiation
Differentiation of powers of x; Differentiation of ex and log x;
differentiation of trigonometric functions; Rules for finding derivatives;
Different types of differentiation; logarithmic differentiation; differentiation
by substitution; differentiation of implicit functions; differentiation from
parametric equation. Differentiation from first principles.
Unit 7: Integrations
Integration of standard Functions; rules of Integration; More formulas in
integration; Definite integrals.
Unit 8: Differential equations
First order differential equations; practical approach to Differential
equations; first order and first degree differential equations; homogeneous
equations. Linear equations; Bernoulli’s equation; Exact Differential Equations.
Unit 9: Complex Numbers
Complex Numbers; Conjugate of a complex number; modulus of a complex Number;
geometrical representation of complex number; De Moivere’s theorem; nth roots of
a complex number.
Unit 10: Matrices and Determinants
Definition of a matrix; Operations on matrices; Square Matrix and its
inverse; determinants; properties of determinants; the inverse of a matrix;
solution of equations using matrices and determinants; solving equations using
determinants.
Unit 11: infinite Series
Convergence and divergence; series of positive terms; binomial series;
exponential series; logarithmic series.
Unit 12: Probability
Concept of probability; sample space and events; three approaches of
probability; kolmogorov’s axiomatic approach to probability; conditional
probability and independence of events; bay’s theorem.
Unit 13: Basics Statistics
Measures of central Tendency; Standard Deviation; Discrete series. Methods;
Deviation taken from assumed mean; continuous series; combined standard
deviation; coefficient of variation; variance.
