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Home > Download > SMU - Question Paper > BSc IT > BT0063

This is the collection of
Sikkim Manipal University (SMU) question and answers for Mathematics for IT . It will help
to prepare your examination. All question paper are
classified as per semester, subject code and question type of Part A, Part B and Part C with
multiple
choice options
as same as actual examination. SMU question papers includes
year 2024, 2023, 2022 Sem I, II, III, IV, V, VI examinations
of all subjects.

SMU question test set of old,
last and previous year are updated
regularly and it is absolutely free to use. Question paper includes Visual basic 6, VB.Net, C#, ASP.Net,
Web, Oracle, Database, SQL, Software Engineering, C, C++, OOPS, MBA, MCA, BSC IT I have requested
you kindly send me the question paper of Mathematics for IT , SMU - Bachelor of Science in Information Technology.

__Course Name__
BSc IT (Bachelor of Science in Information Technology)

__Subject Code__ BT0063 (Mathematics for IT )

__Get Questions__
__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.

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