{"id":5474,"date":"2023-02-14T12:16:00","date_gmt":"2023-02-14T06:46:00","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=5474"},"modified":"2023-10-11T10:23:18","modified_gmt":"2023-10-11T04:53:18","slug":"jntu-b-tech-1st-sem-syllabus-for-mathematics-i","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/","title":{"rendered":"JNTU B Tech 1st Sem Syllabus for Mathematics I"},"content":{"rendered":"<p><strong>JNTU B Tech 1st Sem Syllabus for Mathematics I<\/strong>: The latest Mathematics I Syllabus and marking scheme will provide you with an idea about the important chapters and concepts to be covered in all subjects. To prepare for the 1st Sem EC exam correctly, you should have the latest syllabus and marking scheme. It will also help you to improve your preparation for the 1st-semester exam.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/Jawaharlal-Nehru-Technological-University\/Engineering\" target=\"_blank\" rel=\"noopener noreferrer\">Download JNTU BTech Books &amp; Study Materials<\/a><\/li>\n<\/ul>\n<p>If you are planning to crack the various competitive exams like Gate, and IES with depth knowledge in every topic of JNTU B Tech 1st Sem Syllabus for Mathematics I 2023.<\/p>\n<p>Here we are providing you the complete guide on JNTU B Tech 1st Sem Syllabus for Mathematics I 2023 and Marking Scheme.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d2618833a81\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d2618833a81\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#jntu-b-tech-1st-sem-syllabus-for-mathematics-i-2023\" title=\"JNTU B Tech 1st Sem Syllabus for Mathematics I 2023\">JNTU B Tech 1st Sem Syllabus for Mathematics I 2023<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#textbooks-for-jntu-b-tech-1st-sem-syllabus-for-mathematics-i\" title=\"TEXTBOOKS FOR JNTU B Tech 1st Sem Syllabus for Mathematics I:\">TEXTBOOKS FOR JNTU B Tech 1st Sem Syllabus for Mathematics I:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#references\" title=\"REFERENCES:\">REFERENCES:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#linear-algebra-and-differential-equations-jntu-btech-1st-semester-mathematics\" title=\"Linear Algebra and Differential Equations JNTU B.Tech 1st Semester Mathematics\">Linear Algebra and Differential Equations JNTU B.Tech 1st Semester Mathematics<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#textbooks\" title=\"TEXTBOOKS:\">TEXTBOOKS:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#references-2\" title=\"REFERENCES:\">REFERENCES:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#faqs-on-jntu-b-tech-1st-sem-syllabus-for-mathematics-i\" title=\"FAQs on JNTU B Tech 1st Sem Syllabus for Mathematics I\">FAQs on JNTU B Tech 1st Sem Syllabus for Mathematics I<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#from-where-can-i-download-the-btech-1st-year-maths-syllabus-2023-pdf\" title=\"From where can I download the Btech 1st year Maths Syllabus 2023 PDF?\">From where can I download the Btech 1st year Maths Syllabus 2023 PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#what-is-the-btech-maths-syllabus\" title=\"What is the B.tech Maths Syllabus?\">What is the B.tech Maths Syllabus?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/#is-jntu-btech-1st-year-maths-syllabus-as-per-the-latest-exam-pattern\" title=\"Is JNTU B.tech 1st year Maths Syllabus as per the latest exam pattern?\">Is JNTU B.tech 1st year Maths Syllabus as per the latest exam pattern?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"jntu-b-tech-1st-sem-syllabus-for-mathematics-i-2023\"><\/span>JNTU B Tech 1st Sem Syllabus for Mathematics I 2023<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>With the latest Mathematics I Syllabus for the 1st Semester, you can know the important sections and their respective weightage. It will also help you to create the right preparation plan and score a better mark in all subjects in the semester exam.<\/p>\n<p>You must have Mathematics I 1st Semester books &amp; study materials, Previous year&#8217;s questions paper along with the latest M1 Syllabus for 1st year engineering to enhance your semester exam preparation.<\/p>\n<p><strong>University:<\/strong> Jawaharlal Nehru Technological University Hyderabad<\/p>\n<p>MATHEMATICS- I&nbsp;<br>B.Tech. I Year I Sem. L T\/P\/D C<br>Course Code: MA101BS 3 1\/0\/0 3<\/p>\n<p><strong>UNIT \u2013 I Sequences \u2013 Series<\/strong><\/p>\n<p>Basic definitions of Sequences and series \u2013 Convergences and divergence \u2013 Ratio test \u2013 Comparison test\u2013 Integral test \u2013 Cauchy\u2019s root test \u2013 Raabe\u2019s test \u2013 Absolute and conditional convergence<\/p>\n<p><strong>UNIT \u2013 II Functions of Single Variable<\/strong><\/p>\n<p>Rolle\u2019s Theorem \u2013 Lagrange\u2019s Mean Value Theorem \u2013 Cauchy\u2019s mean value Theorem \u2013 Generalized Mean, Value theorem (all theorems without proof) Functions of several variables \u2013 Functional dependence-Jacobian- Maxima and Minima of functions of two variables with constraints and without constraints<\/p>\n<p><strong>UNIT \u2013 III Application of Single Variables<\/strong><\/p>\n<p>Radius, Centre, and Circle of Curvature \u2013 Evolutes and Envelopes Curve tracing \u2013 Cartesian, polar, and parametric curves.<\/p>\n<p><strong>UNIT \u2013 IV Integration &amp; its Applications<\/strong><\/p>\n<p>Riemann Sums, Integral Representation for lengths, Areas, Volumes, and Surface areas in Cartesian and polar coordinates multiple integrals &#8211; double and triple integrals \u2013 change of order of integration- change<br>of variable<\/p>\n<p><strong>UNIT \u2013 V Differential equations of first order and their applications<\/strong><\/p>\n<p>Overview of differential equations- exact, linear, and Bernoulli. Applications to Newton\u2019s Law of cooling, Law of natural growth and decay, orthogonal trajectories, and geometrical applications.<\/p>\n<p><strong>UNIT \u2013 VI Higher Order Linear differential equations and their applications<\/strong><\/p>\n<p>Linear differential equations of second and higher order with constant coefficients, RHS term of type f(X)= e ax , Sin ax, Cos ax, and xn, e ax V(x), x n V(x), method of variation of parameters. Applications bending of beams, Electrical circuits, and simple harmonic motion.<\/p>\n<p><strong>UNIT \u2013 VII Laplace transform and its applications to Ordinary differential equations <\/strong><\/p>\n<p>Laplace transform of standard functions \u2013 Inverse transform \u2013 First shifting Theorem, Transforms of derivatives and integrals \u2013 Unit step function \u2013 Second shifting theorem \u2013 Dirac\u2019s delta function \u2013 Convolution theorem \u2013 Periodic function &#8211; Differentiation and integration of application of Laplace transforms to ordinary differential equations.<\/p>\n<p><strong>UNIT \u2013 VIII Vector Calculus<\/strong><\/p>\n<p>Vector Calculus: Gradient- Divergence- Curl and their related properties Potential function &#8211; Laplacian and second-order operators. Line integral \u2013 work is done \u2013\u2013- Surface integrals &#8211; Flux of a vector-valued function.<br>Vector integrals theorems: Green\u2019s -Stoke\u2019s and Gauss\u2019s Divergence Theorems (Statement &amp; their Verification).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"textbooks-for-jntu-b-tech-1st-sem-syllabus-for-mathematics-i\"><\/span>TEXTBOOKS FOR JNTU B Tech 1st Sem Syllabus for Mathematics I:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. Engineering Mathematics \u2013 I by P.B. Bhaskara Rao, S.K.V.S. Rama Chary, M. Bhujanga Rao.<br>2. Engineering Mathematics \u2013 I by C. Shankaraiah, VGS Booklinks.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"references\"><\/span>REFERENCES:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. Engineering Mathematics \u2013 I by T.K. V. Iyengar, B. Krishna Gandhi &amp; Others, S. Chand.<br>2. Engineering Mathematics \u2013 I by D. S. Chandrasekhar, Prison Books Pvt. Ltd.<br>3. Engineering Mathematics \u2013 I by G. Shanker Rao &amp; Others I.K. International Publications.<br>4. Higher Engineering Mathematics \u2013 B.S. Grewal, Khanna Publications.<br>5. Advanced Engineering Mathematics by Jain and S.R.K. Iyengar, Narosa Publications.<br>6. A text Book of KREYSZIG\u2019S Engineering Mathematics, Vol-1 Dr .A. Ramakrishna Prasad. WILEY<br>publications<br>2009-2010<\/p>\n<h2><span class=\"ez-toc-section\" id=\"linear-algebra-and-differential-equations-jntu-btech-1st-semester-mathematics\"><\/span>Linear Algebra and Differential Equations JNTU B.Tech 1st Semester Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>UNIT \u2013 I : Solution for linear systems<\/strong><\/p>\n<p>Matrices and Linear systems of equations: Elementary row transformations-Rank-Echelon form, Normal form \u2013 Solution of Linear Systems \u2013 Direct Methods- LU Decomposition- LU Decomposition from Gauss Elimination \u2013Solution of Tridiagonal Systems-Solution of Linear Systems<\/p>\n<p><strong>UNIT \u2013 II: Eigen Values &amp; Eigen Vectors<\/strong><\/p>\n<p>Eigenvalues, eigenvectors \u2013 properties \u2013 Condition number of rank, Cayley-Hamilton Theorem (without Proof) &#8211; Inverse and powers of a matrix by Cayley-Hamilton theorem \u2013 Diagonalization of the matrix. Calculation<br>of powers of matrix \u2013 Modal and spectral matrices.<\/p>\n<p><strong>UNIT \u2013 III: Linear Transformations<\/strong><\/p>\n<p>Real matrices \u2013 Symmetric, skew-symmetric, orthogonal, Linear Transformation \u2013 Orthogonal Transformation. Complex matrices: Hermitian, Skew-Hermitian, and Unitary \u2013 Eigenvalues and eigenvectors&nbsp;of complex matrices and their properties. Quadratic forms- Reduction of quadratic form to canonical form \u2013 Rank &#8211; Positive, negative definite &#8211; semi definite &#8211; index &#8211; signature &#8211; Sylvester law, Singular value<br>decomposition.<\/p>\n<p><strong>UNIT \u2013 IV: Solution of Non-linear Systems<\/strong><\/p>\n<p>The solution of Algebraic and Transcendental Equations: Introduction \u2013 The Bisection Method \u2013 The Method of False Position \u2013 The Iteration Method \u2013 Newton-Raphson Method. Interpolation: Introduction- Errors in Polynomial Interpolation \u2013 Finite differences- Forward Differences- Backward differences \u2013Central differences \u2013 Symbolic relations and separation of symbols- Difference Equations &#8211; Differences of a polynomial-Newton\u2019s formulae for interpolation \u2013 Central difference interpolation<br>Formulae \u2013 Gauss Central Difference Formulae \u2013Interpolation with unevenly spaced points- Lagrange\u2019s Interpolation formula. B. Spline interpolation &#8211; Cubic spline.<\/p>\n<p><strong>UNIT \u2013 V: Curve Fitting &amp; Numerical Integration<\/strong><\/p>\n<p>Curve fitting: Fitting a straight line \u2013Second-degree curve-exponential curve-power curve by the method of least squares. Numerical Differentiation \u2013 Simpson\u2019s 3\/8 Rule, Gaussian Integration, Evaluation of principal<br>value integrals, Generalized Quadrature.<\/p>\n<p><strong>UNIT \u2013 VI: Numerical solution of IVPs in ODE<\/strong><\/p>\n<p>Numerical solution of Ordinary Differential equations: Solution by Taylor\u2019s series-Picard\u2019s Method of successive Approximations-Euler\u2019s Method-Runge-Kutta Methods \u2013Predictor-Corrector Methods- Adams-<br>Bashforth Method.<\/p>\n<p><strong>UNIT \u2013 VII Fourier Series<\/strong><\/p>\n<p>Fourier Series: Determination of Fourier coefficients \u2013 Fourier series \u2013 even and odd functions \u2013 Fourier series in an arbitrary interval \u2013 even and odd periodic continuation \u2013 Half-range Fourier sine and cosine expansions.<\/p>\n<p><strong>UNIT \u2013 VIII Partial differential equations<\/strong><\/p>\n<p>Introduction and Formation of partial differential equation by the elimination of arbitrary constants and arbitrary functions, solutions of first-order linear (Lagrange) equation and nonlinear (Standard type) equations, Method of separation of variables for second-order equations -Two-dimensional wave equation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"textbooks\"><\/span>TEXTBOOKS:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. Mathematical Methods by P.B.Bhaskara Rao, S.K.V.S. Rama Chary, M.Bhujanga Rao,<br>B.S.Publications.<br>2. Mathematical Methods by K.V. Suryanarayana Rao by Scitech Publications.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"references-2\"><\/span>REFERENCES:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. Mathematical Methods by T.K.V. Iyengar, B. Krishna Gandhi &amp; Others, S. Chand.<br>2. Introductory Methods by Numerical Analysis by S.S. Sastry, PHI Learning Pvt. Ltd.<br>3. Mathematical Methods by G.Shankar Rao, I.K. International Publications, N.Delhi<br>4. Higher Engineering Mathematics by B.S. Grewal, Khanna Publications.<br>5. Mathematical Methods by V. Ravindranath, Etl, Himalaya Publications.<br>2009-2010<br>6. A text Book of KREYSZIG\u2019S Mathematical Methods, Dr .A. Ramakrishna Prasad. WILEY<br>publications.<\/p>\n<p>We have covered the complete guide on <a href=\"https:\/\/jntuh.ac.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">JNTU<\/a> B Tech m1 Syllabus for Mathematics I. Feel free to ask us any questions in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-jntu-b-tech-1st-sem-syllabus-for-mathematics-i\"><\/span>FAQs on JNTU B Tech 1st Sem Syllabus for Mathematics I<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1626886109883\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-download-the-btech-1st-year-maths-syllabus-2023-pdf\"><\/span>From where can I download the Btech 1st year Maths Syllabus 2023 PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find it on Kopykitab. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1626886247355\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-btech-maths-syllabus\"><\/span>What is the B.tech Maths Syllabus?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find it in the above blog.  <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1626886505563\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-jntu-btech-1st-year-maths-syllabus-as-per-the-latest-exam-pattern\"><\/span>Is JNTU B.tech 1st year Maths Syllabus as per the latest exam pattern?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the Syllabus is as per the latest exam pattern<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>JNTU B Tech 1st Sem Syllabus for Mathematics I: The latest Mathematics I Syllabus and marking scheme will provide you with an idea about the important chapters and concepts to be covered in all subjects. To prepare for the 1st Sem EC exam correctly, you should have the latest syllabus and marking scheme. It will &#8230; <a title=\"JNTU B Tech 1st Sem Syllabus for Mathematics I\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/jntu-b-tech-1st-sem-syllabus-for-mathematics-i\/\" aria-label=\"More on JNTU B Tech 1st Sem Syllabus for Mathematics I\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":50466,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[1,266],"tags":[1359,1361,1365,1364],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/5474"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=5474"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/5474\/revisions"}],"predecessor-version":[{"id":475952,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/5474\/revisions\/475952"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/50466"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=5474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=5474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=5474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}