M1 syllabus (Mathematics-I) JNTUH B.Tech I year R13 gives you detail information about Mathematics -I subject.<\/p>\n
UNIT-I<\/strong><\/p>\n Theory of Matrices: Real matrices \u2013 Symmetric, skew \u2013 symmetric, orthogonal. Complex matrices: Hermitian, SkewHermitian and Unitary Matrices. Idempotent matrix, Elementary row and column transformations- Elementary matrix, Finding rank of a matrix by reducing to Echelon and normal forms. Finding the inverse of a non-singular square matrix using row\/ column transformations (Gauss- Jordan method). Consistency of system of linear equations (homogeneous and non- homogeneous) using the rank of a matrix. Solving m x n and n x n linear system of equations by Gauss elimination. Cayley-Hamilton Theorem (without proof) \u2013 Verification. Finding inverse of a matrix and powers of a matrix by Cayley-Hamilton theorem, Linear dependence and Independence of Vectors. Linear Transformation \u2013 Orthogonal Transformation. Eigen values and eigen vectors of a matrix. Properties of eigen values and eigen vectors of real and complex matrices. Finding linearly independent eigen vectors of a matrix when the eigen values of the matrix are repeated. Diagonalization of matrix \u2013 Quadratic forms up to three variables. Rank \u2013 Positive definite, negative definite, semi definite, index, signature of quadratic forms. Reduction of a quadratic form to canonical form.<\/p>\n UNIT \u2013 II<\/strong><\/p>\n Differential calculus methods. Rolle\u2019s Mean value Theorem \u2013 Lagrange\u2019s Mean Value Theorem \u2013 Cauchy\u2019s mean value Theorem \u2013 (all theorems without proof but with geometrical interpretations), verification of the Theorems and testing the applicability of these theorem to the given function. Functions of several variables: Functional dependence- Jacobian- Maxima and Minima of functions of two variables without constraints and with constraints-Method of Lagrange multipliers.<\/p>\n UNIT \u2013 III<\/strong><\/p>\n Improper integration, Multiple integration & applications: Gamma and Beta Functions \u2013Relation between them, their properties \u2013 evaluation of improper integrals using Gamma \/ Beta functions Multiple integrals \u2013 double and triple integrals \u2013 change of order of integration- change of variables (polar, cylindrical and spherical) Finding the area of a region using double integration and volume of a region using triple integration.<\/p>\n TEXT BOOK<\/strong><\/p>\n REFERENCES<\/strong><\/p>\n For more information about all JNTU updates please stay connected to us on FB and don\u2019t hesitate to ask any questions in the comment.<\/p>\n","protected":false},"excerpt":{"rendered":" M1 syllabus (Mathematics-I) JNTUH B.Tech I year R13 gives you detail information about Mathematics -I subject. Mathematics-I Syllabus (M1) JNUTH R13 UNIT-I Theory of Matrices: Real matrices \u2013 Symmetric, skew […]<\/p>\n","protected":false},"author":2259,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[62],"tags":[],"class_list":["post-40","post","type-post","status-publish","format-standard","hentry","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/users\/2259"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/comments?post=40"}],"version-history":[{"count":10,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/40\/revisions"}],"predecessor-version":[{"id":22214,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/40\/revisions\/22214"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/media?parent=40"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/categories?post=40"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/tags?post=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Download iStudy Android App for complete JNTUH syllabus, results, timetables and all other updates. There are no ads and no pdfs and will make your life way easier.<\/em><\/strong><\/span><\/a><\/h5>\n
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