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# Online Crash Course for ISI B.Stat/B.Math and CMI B.Sc Entrance

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Course type: Online Instructor led Course

Course ID: 41715

Course type: Online Instructor led Course

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What is this exam all about: Well, this exam is for those students who love mathematics and want to make their career in mathematics or statistics. This exam gives the opportunity to the class twelfth passed (class 12+) students to pursue the prestigious course B.Stat in Indian Statistical Institute (ISI), Kolkata and B.Math in ISI, Bangalore. Here I will discuss syllabus and question patterns of the exam.

Career options after B.Stat/B.Math:

• Higher Studies in Statistics, Mathematics, Computer Science, Economics.

• High profile Jobs as Statisticians in research institutions and scientific laboratories, government departments or industries.

Question Patterns: There are two parts. 1st part contains around 30 questions and 2 hours time given. All the questions in 1st part are MCQ type. In the 2nd part there are around 8 questions.and 2 hours time given. These questions are subjective type, you have write answers for these questions.

Syllabus for Entrance exam of B.Stat/B.Math

Algebra: Sets, operations on sets. Prime numbers, factorization of integers and divisibility. Rational and irrational numbers. Permutations and combinations, basic probability. Binomial Theorem. Logarithms. Polynomials: Remainder Theorem, Theory of quadratic equations and expressions, relations between roots and coefficients. Arithmetic and geometric progressions. Inequalities involving arithmetic, geometric & Harmonic means. Complex numbers. Matrices and determinants.
Geometry: Plane geometry. Geometry of 2 dimensions with Cartesian and polar coordinates. Equation of a line, angle between two lines, distance from a point to a line. Concept of a Locus. Area of a triangle. Equations of circle, parabola, ellipse and hyperbola and equations of their tangents and normals. Mensuration.
Trigonometry: Measures of angles. Trigonometric and inverse trigonometric functions. Trigonometric identities including addition formulae, solutions of trigonometric equations. Properties of triangles. Heights and distances.
Calculus: Sequences â?? bounded sequences, monotone sequences, limit of a sequence. Functions, one-one functions, onto functions. Limits and continuity. Derivatives and methods of differentiation. Slope of a curve. Tangents and normals. Maxima and minima. Using calculus to sketch graphs of functions. Methods of integration, definite and indefinite integrals, evaluation of area using integrals.

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Samir Ch Mandal

Master of Science in Mathematics from IISc, Bangalore

I am teaching from last two years. Teaching is my passion. Currently I am giving Bstat Coaching (online).

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