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NTRCA college written syllabus
College level; page updated April 2024 · 142 pages
Subject-specific written syllabi for college-level teacher registration. Select the subject relevant to the post.
Published by NTRCA. Collected 2026-11-14. Confirm the edition and subject against your recruitment notice before studying.
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E:\NTRCA\Exam\17th Exam'20\Written\Syllabus\Written_College level_17th Exam-2020 (1-52 code) (Main).doc 81 পলদর িাম: প্রভাষক শবষয়: গশণত্, পশরশমশত্ ও পশরসংখ্যাি বকাড: ৪৫০ পূণ যমাি: ১০০ Part-I Fundamental of Mathematics (Including Trigonometry ): A. Set theory, Relations and functions, Real number system. B. Summation of algebraic and trigonometric series. C. Theory of equations: Relations between roots and co -efficients, Symmetric functions of roots, Simple transformations. D. Linear algebra wi th vector spaces, Eigen values and Eigenvectors. Part-II Geometry (Analytical Geometry of two three dimensions): A. Pair of straight lines. B. General Equation of second the degree: Reduction of standard forms, Properties of Parabola, Ellipse and Hyperbol a. C. Rectangular co-ordinates, Planes and Straight lines in three dimensions, shortest distance between two Straight lines. D. Vectors in three dimensional space with applications to geometry. Part-III Differential Calculus and Integral Calculus: A. Functions, Limit, Continuity and Differentiability. B. Maxima and Minima. C. Tangents and Normal’s. D. Techniques of Indefinite integration. E. Determination of areas. F. Multiple integral. Part-IV Different equations: Ordinary differential equations of first order and first degree, Ordinary differential equations with initial and boundary value problems, Laplace Transform, Legendre differential equation and Bessel differential equation. Part-V Functions of Complex variable: Complex numbers, Analytic functions, Contour integration. Part-VI Statistics: Measures of central tendency: Mean Median, Mode and Relationship between different means. Measures of dispersion: Mean deviation, Standard deviation, Variance, Relation between deferent Measures of dispersion. Probability: Concepts of Probability, Different approach of probability, Theorem of probability (with problem solving). Note: The paper will consists of five parts, having three questions of equal value in each part. Candidates will required to answer te n questions in all, taking at least one question from each part but not more than two questions from any one part.