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Home > Download > SMU - Question Paper > BCA > BC0033

This is the collection of
Sikkim Manipal University (SMU) question and answers for Basic Mathematics. 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 Basic Mathematics, SMU - Bachelor of Computer Application.

__Course Name__
BCA (Bachelor of Computer Application)

__Subject Code__ BC0033 (Basic Mathematics)

__Get Questions__
__PART - A__
__PART - B__
__PART - C__

**Basic Mathematics Syllabus. **

**Unit 1 Set Theory
**Sets, types of sets, operation on sets, Venn diagrams, Cartesians product of
two sets, Distributive laws

**Unit 2 Mathematical logic
**Proposition or statements, converse, inverse and contrapositive of an
implication

**Unit 3 Modern algebra
**Binary operation, semi groups, monoid, group

**Unit 4 Subgroups and other groups
**Subgroups, cosets, cyclic groups, group of permutations

**Unit 5 Basic graph theory
**Definition of graphs, multigraphs, complete graphs, null graphs, bi-graphs,
degrees, degree sequences

**Unit 6 Data analysis
**Data and statistical data, Frequency distribution, graphical representation,
measures of central tendency, measures of dispersion

**Unit 7 Permutation and combination
**Fundamental principles, Permutation and Combination, Permutation of n
different things taken r at a time, Permutation of things of which some are
alike, circular permutation,

combinations, complementary combinations

**Unit 8 Probability
**Random experiment, sample space, event, probability additional theorem,
classical approach, conditional probability, independent events, multiplication
theorem, empirical

approach

**Unit 9 Elements of trigonometry
**Radian and circular measure, trigonometric functions, identities,
trigonometrical ratios of certain standard angles, allied angles, compound
angles, multiple and sub multiple angles

**Unit 10 Limits
**Definition of limits, continuity, evaluation of limits, some of the standard
limits with their derivations, exponential limit

**Unit11 Continuity and differential calculus
**Differentiation, equations of tangent and normal, pedal equations, polar
coordinates, angle between radius vector and tangent, successive
differentiation, indeterminate forms, partial

differentiation

**Unit 12 Integral Calculus
**Integration by parts, integral as the limit of a sum, reduction formulae,
integration of algebraic rational functions, integration of irrational
functions, definite integrals and

evaluation.

**Unit 13 Complex Trigonometry
**Complex number definition, De Moivre’s theorem, Roots of a complex number,
Exponential function of a complex variable, hyperbolic functions, logarithmic
function of a

complex variable.

**Unit 14 Matrices and determinants
**Matrices, related matrices, matrix method of solution of simultaneous
equations, elementary transformation of a matrix.

**Unit 15 Infinite series
**Convergence and divergence, series of positive terms, Binomial series,
exponential series, logarithmic series.

**Unit 16 Differential equations
**First order differential equations, Practical approach to differential
equations, first order and first degree differential equations, homogeneous
equations, linear equations, Bernoulli’s

equations, exact differential equations.

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