B.Arch. (5 Years Degree Course) Effective From （B.Arch。(5年学位课程)有效）.pdfVIP

B.Arch. (5 Years Degree Course) Effective From 14-15 1AR1: MATHEMATICS B.ARCH.: 1st Semester Max. Marks: 100 2L Exam Hours: 3 UNIT CONTENTS CONTACT HOURS I Statistics: probability – simple problems; Binomial, Poisson and normal 6 distributions – simple applications. Correlation and regression, coefficient of correlation, lines of regression – simple applications. II Differential Equations: First order and first degree – variables 6 separable, homogeneous form, reducible to homogeneous form, linear differential equation, reducible to Linear form, exact equations, second order ODE with constant coefficients. III Matrices: Rank of a matrix, solution of linear simultaneous equation, 6 inverse of matrix by elementary transformations, Eigen values, Eigen vectors, Cayley Hamilton Theorem (without proof). IV Linear Programming: Introduction about Cartesian and polar, Angle 6 between the radius vector and the tangent, length of perpendicular from pole on tangent, pedal equation. Partial Differentiation. Euler’s theorem for homogenous function, total derivative, differentiation of implicit function. V Integral Calculus: Multiple integral – Double integral, Triple integral. 6 Change of order of integration, Areas, Volumes. TOTAL