Mathematics-II
The complete Diploma (Polytechnic) syllabus for Mathematics-II (Paper 7357), the Second Semester (Group A) mathematics paper at RGPV Bhopal under the AICTE-based OCBC 2023 curriculum — Determinants & Matrices, Integral Calculus, Co-ordinate Geometry, Vector Algebra and Differential Equations. A 4-credit theory paper of 70 marks. Available in English and Hindi editions.
Polytechnic Mathematics-II · English
by Dr. D.C. Agarwal & Dr. Pradeep K. Joshi & Dr. Pooja Agarwal · ₹240 — covers this full syllabus.
Polytechnic Ganit-II (पॉलिटेकिनक गणित-II) · Hindi
by Dr. D.C. Agarwal & Dr. Pradeep K. Joshi & Dr. Pooja Agarwal · ₹240 — covers this full syllabus.
Course contents — unit by unit
Unit 1 · Determinants and Matrices
Value of determinants up to third order; consistency of equations; Cramer's rule (two variables); algebra of matrices, types of matrices, transpose, adjoint and inverse of a matrix.
Unit 2 · Integral Calculus
Integration as the inverse operation of differentiation; integration by substitution and by parts; definite integration; application of integration to the area bounded by a curve and the axes.
Unit 3 · Co-ordinate Geometry
Equation of a straight line in various standard forms (general, two-point, slope, intercepts); angle between two lines; parallel and perpendicular lines; general equation of a circle and its characteristics; introduction to conic sections and the standard forms of the parabola, ellipse and hyperbola.
Unit 4 · Vector Algebra
Definition, notation and rectangular resolution of a vector; addition and subtraction of vectors; scalar and vector products of two vectors; applications of the vector product (area of a triangle and parallelogram, perpendicular unit vector); simple problems related to work.
Unit 5 · Differential Equations
Order and degree of a differential equation; general and particular solution of a first-order, first-degree differential equation by the variable-separation method.