Mathematics-I
The complete Diploma (Polytechnic) syllabus for Mathematics-I (Paper 7350), the First Semester mathematics paper at RGPV Bhopal under the AICTE-based OCBC 2023 curriculum — Trigonometry, Differential Calculus and Algebra (complex numbers, partial fractions, permutations & combinations and the binomial theorem). A 4-credit theory paper of 70 marks. Available in English and Hindi editions.
Polytechnic Mathematics-I · English
by Dr. D.C. Agarwal & Dr. Pradeep K. Joshi & Dr. Pooja Agarwal · ₹170 — covers this full syllabus.
Polytechnic Ganit-I (पॉलिटेकिनक गणित) · Hindi
by Dr. D.C. Agarwal & Dr. Pradeep K. Joshi & Dr. Pooja Agarwal · ₹200 — covers this full syllabus.
Course contents — unit by unit
Unit 1 · Trigonometry
Concept and measurement of angles in degrees, grades and radians and their conversion; T-ratios of allied angles (without proof); sum, difference and product formulae (transformation of product to sum/difference and vice versa); T-ratios of multiple angles (2A, 3A).
Unit 2 · Differential Calculus
Definition of a function; concept of limits and the two standard limits; differentiation by definition of xⁿ, sin x, cos x, tan x, eˣ and logₑx; differentiation of sums, products, quotients and functions of a function; differentiation of trigonometric functions; logarithmic and exponential differentiation.
Unit 3 · Algebra
Complex numbers — real and imaginary parts, polar and Cartesian representation and conversion, conjugate, modulus and amplitude, algebra of complex numbers, De Moivre's theorem; partial fractions of proper fractions with non-repeated linear factors; permutations and combinations (nPr, nCr); binomial theorem for a positive integral index and the middle term.