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ISI BSDS
ABOUT THE
COURSE
The programme of Statistical Data Science focuses on statistical methodologies, with emphasis on statistical machine learning, computational statistics and data analytics.
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The programme of Statistical Data Science focuses on statistical methodologies, with emphasis on statistical machine learning, computational statistics and data analytics.
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LIVE SESSIONS
MOCK TEST SERIES
1.Online/Offline Classes
2.Comprehensive mock test series
3. Solutions to past years' entrance questions
4. Topic-wise analysis
5. Provision of complete study materials
6. Special doubt-clearing sessions
7. Recordings of every live class, ensuring you won't miss any session even if you can't attend live (24*7)
1. Complete Mock Tests on any topic you like
2. You can give the exams from your home using a phone or laptop or pc or a tablet.
3. After every exam complete solutions with marks will be provided to you.
4. Any doubts with any part you are free to ask us via what's app/email/call.
5. Segment wise preparation
6.Full length mock test
7.Checking by experts
SYLLABUS
Sets, relations and functions
Sets and their representations; Union, intersection, difference and complement of sets and their algebraic properties; Power set. Types of relations and equivalence relations. Functions as maps; One-one, into and onto functions; Essential real-valued functions such as polynomials, rational, trigonometric, logarithmic, and exponential functions; Equations involving polynomials, exponential and logarithmic functions; Inverse functions; Transformation of functions; Composition of functions; Graphs of simple functions.
Complex number system
Different representations of complex numbers; Conjugate, modulus and argument of a complex number; Powers of complex numbers; Roots of unity; Quadratic equations and their solutions; Fundamental theorem of algebra.
Sequence and series
Basics of combinatorics
Permutation and combination; Fundamental principles of counting; Binomial theorem and its applications; Principle of mathematical induction and its applications.
Limits, continuity and differentiability of functions
Definition of limit, continuity and differentiability; Properties of continuous functions and differentiable functions; Chain rule of differentiation; Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; Rolle’s theorem and mean-value theorem and their applications; Maxima and minima of functions of one variable.
Arithmetic and geometric progressions and their combinations; Convergence of infinite series; Sums of integer powers of natural numbers; Relationship between arithmetic and geometric means.
Trigonometry
Trigonometric functions and their inverses; Trigonometric identities and equations; applications to measuring heights, computation of distances and areas.
Each candidate applying for admission to this programme has to take a selection test of duration 2 hours comprising 30 objective type questions in Mathematics at the Higher Secondary level (10+2 years programme). The level of the test will to be similar to the JEE Mathematics test. Sample questions will be released on the webpage. A single merit list will be released and candidates will be allowed to choose their preferred centres in that order.
Integral calculus
Integrals as limits of sums; Properties of indefinite integrals; Fundamental theorem of calculus and its simple applications; Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution and by parts; Definite integrals, their properties, and applications to determining areas of regions bounded by simple and standard curves.
Coordinate geometry
Basics of differential equations
Ordinary differential equations, their order and degree; First order linear differential equations; Solving differential equations by methods of separation of variables and substitution; Solution of homogeneous and first order linear differential equations.
Vector algebra
Vectors and scalars; Addition of vectors; Components of a vector in two dimensions and three dimensional space; Scalar (dot) and vector (cross) products; Scalar and vector triple products; Simple properties and applications: Directions ratios, and direction cosines; Angle between two straight lines and skew lines; Point of intersection of two straight lines and shortest distance between two straight lines.
Algebra of matrices; Types of matrices; Matrices of order two and three; Evaluation of determinants; Adjoint and determinant of a matrix; Evaluation of the inverse of a nonsingular matrix; Properties of matrix inverses; Elementary transformations of a matrix; Rank of a matrix; Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
Cartesian system and locus of a point; Straight lines and their intersections; Angles between straight lines and distance between a point and a straight line; Equation of a circle, its radius and centre; Equations of conic sections (parabola, ellipse, and hyperbola) in standard forms and in parametric forms; Tangent and normal at a point on a circle and on conics
3-dimensional geometry
Coordinates of points in 3D space; Angles between straight lines and planes; Intersec-on formulas
Introductory statistics and probability
Measures of centrality and dispersion; Mean, median, mode, variance and standard deviation for grouped and ungrouped data. Probability of an event; Fundamental rules of probability calculation; Probability distribution; Binomial distribution; Bayes’ theorem.
In order to be eligible for admission, a student should have successfully completed 10+2 years of Higher Secondary Education (or its equivalent) with Mathematics and English as subjects of study.
ELIGIBILITY
NOTES AND STUDY MATERIALS
STUDY MATERIALS are provided FREE of cost to the students who have ENROLLED
in our programs
ISI BSDS 2024 PAPER FULL SOLUTION
ISI BSDS 2024 PAPER SOLUTION
ISI BSDS 2024 PAPER Q1
ISI BSDS 2024 PAPER Q4
ISI BSDS 2024 PAPER Q2
ISI BSDS 2024 PAPER Q3