{"id":163732,"date":"2024-01-12T11:19:04","date_gmt":"2024-01-12T05:49:04","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=163732"},"modified":"2024-01-12T17:56:27","modified_gmt":"2024-01-12T12:26:27","slug":"ma3151-matrices-and-calculus-syllabus","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/ma3151-matrices-and-calculus-syllabus\/","title":{"rendered":"MA3151 &#8211; Matrices And Calculus Syllabus Regulation 2021 Anna University"},"content":{"rendered":"<p>Anna University, Subject code &#8211; MA3151, deals with the B.E civil Engineering Semester &#8211; I Matrices And Calculus syllabus regulation 2021 relating to affiliated institutions. From here, Students can get assistance in preparing notes to excel in academic performance.<\/p>\n<p>We include every topic of the Matrices And Calculus Syllabus, to understand the subject very well. It will help you to improve your idea of syllabus of <a href=\"https:\/\/www.aplustopper.com\/ma3151-matrices-and-calculus-syllabus\/\">MA3151 &#8211; Matrices And Calculus Syllabus<\/a> on your finger tips to go ahead in a clear path of preparation. In this following article Matrices And Calculus Syllabus, will help you, Hope you share with your friends.<\/p>\n<p>If you want to know more about the syllabus of B.E Civil Engineering connected to an affiliated institution\u2019s under four-year undergraduate degree programme. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link <a href=\"https:\/\/www.aplustopper.com\/be-civil-engineering-syllabus-anna-university-regulation-2021\/\">B.E Civil Engineering Syllabus Anna University, Regulation 2021.<\/a><\/p>\n<p><strong>Aim Of Concept:<\/strong><\/p>\n<ul>\n<li>To develop the use of matrix algebra techniques that is needed by engineers for practical applications.<\/li>\n<li>To familiarize the students with differential calculus.<\/li>\n<li>To familiarize the student with functions of several variables. This is needed in many branches of engineering.<\/li>\n<li>To make the students understand various techniques of integration.<\/li>\n<li>To acquaint the student with mathematical tools needed in evaluating multiple integrals and their applications.<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><strong>MA3151 &#8211; Matrices And Calculus Syllabus<\/strong><\/p>\n<p><strong>Unit I:<\/strong> Matrices<\/p>\n<p>Eigenvalues and Eigenvectors of a real matrix \u2013 Characteristic equation \u2013 Properties of Eigenvalues and Eigenvectors \u2013 Cayley &#8211; Hamilton theorem \u2013 Diagonalization of matrices by orthogonal transformation \u2013 Reduction of a quadratic form to canonical form by orthogonal transformation \u2013 Nature of quadratic forms \u2013 Applications: Stretching of an elastic membrane.<\/p>\n<p><strong>Unit II:<\/strong> Differential Calculus<\/p>\n<p>Representation of functions &#8211; Limit of a function &#8211; Continuity &#8211; Derivatives &#8211; Differentiation rules (sum, product, quotient, chain rules) &#8211; Implicit differentiation &#8211; Logarithmic differentiation &#8211; Applications: Maxima and Minima of functions of one variable.<\/p>\n<p><strong>Unit III:<\/strong> Functions Of Several Variables<\/p>\n<p>Partial differentiation \u2013 Homogeneous functions and Euler\u2019s theorem \u2013 Total derivative \u2013 Change of variables \u2013 Jacobians \u2013 Partial differentiation of implicit functions \u2013 Taylor\u2019s series for functions of two variables \u2013 Applications: Maxima and minima of functions of two variables and Lagrange\u2019s method of undetermined multipliers.<\/p>\n<p><strong>Unit IV:<\/strong> Integral Calculus<\/p>\n<p>Definite and Indefinite integrals &#8211; Substitution rule &#8211; Techniques of Integration: Integration by parts, Trigonometric integrals, Trigonometric substitutions, Integration of rational functions by partial fraction, Integration of irrational functions &#8211; Improper integrals &#8211; Applications: Hydrostatic force and pressure, moments and centres of mass.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-163770 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2024\/01\/MA3151-Matrices-And-Calculus-Syllabus-Regulation-2021-Anna-University.png\" alt=\"MA3151 - Matrices And Calculus Syllabus Regulation 2021 Anna University\" width=\"800\" height=\"2000\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2024\/01\/MA3151-Matrices-And-Calculus-Syllabus-Regulation-2021-Anna-University.png 800w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2024\/01\/MA3151-Matrices-And-Calculus-Syllabus-Regulation-2021-Anna-University-120x300.png 120w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2024\/01\/MA3151-Matrices-And-Calculus-Syllabus-Regulation-2021-Anna-University-410x1024.png 410w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2024\/01\/MA3151-Matrices-And-Calculus-Syllabus-Regulation-2021-Anna-University-768x1920.png 768w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2024\/01\/MA3151-Matrices-And-Calculus-Syllabus-Regulation-2021-Anna-University-614x1536.png 614w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><strong>Unit V:<\/strong> Multiple Integrals<\/p>\n<p>Double integrals \u2013 Change of order of integration \u2013 Double integrals in polar coordinates \u2013 Area enclosed by plane curves \u2013 Triple integrals \u2013 Volume of solids \u2013 Change of variables in double and triple integrals \u2013 Applications: Moments and centres of mass, moment of inertia.<\/p>\n<p><strong>Textbooks:<\/strong><\/p>\n<ol>\n<li>Kreyszig. E, &#8220;Advanced Engineering Mathematics&#8221;, John Wiley and Sons, 10th Edition, New Delhi, 2016.<\/li>\n<li>Grewal. B.S., \u201cHigher Engineering Mathematics\u201d, Khanna Publishers, New Delhi, 44th Edition, 2018.<\/li>\n<li>James Stewart, &#8220;Calculus: Early Transcendentals&#8221;, Cengage Learning, 8th Edition, New Delhi, 2015. [For Units II &amp; IV &#8211; Sections 1.1, 2.2, 2.3, 2.5, 2.7 (Tangents problems only), 2.8, 3.1 to 3.6, 3.11, 4.1, 4.3, 5.1 (Area problems only), 5.2, 5.3, 5.4 (excluding net change theorem), 5.5, 7.1 &#8211; 7.4 and 7.8].<\/li>\n<\/ol>\n<p><strong>References:<\/strong><\/p>\n<ol>\n<li>Anton. H, Bivens. I and Davis. S, &#8221; Calculus &#8220;, Wiley, 10th Edition, 2016<\/li>\n<li>Bali. N., Goyal. M. and Watkins. C., \u201cAdvanced Engineering Mathematics\u201d, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.<\/li>\n<li>Jain. R.K. and Iyengar. S.R.K., \u201cAdvanced Engineering Mathematics\u201d, Narosa Publications, New Delhi, 5th Edition, 2016.<\/li>\n<li>Narayanan. S. and Manicavachagom Pillai. T. K., \u201cCalculus&#8221; Volume I and II, S. Viswanathan Publishers Pvt. Ltd., Chennai, 2009.<\/li>\n<li>Ramana. B.V., &#8220;Higher Engineering Mathematics&#8221;, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.<\/li>\n<li>Srimantha Pal and Bhunia. S.C, &#8220;Engineering Mathematics &#8221; Oxford University Press, 2015.<\/li>\n<li>Thomas. G. B., Hass. J, and Weir. M.D, &#8220;Thomas Calculus&#8221;, 14th Edition, Pearson India, 2018.<\/li>\n<\/ol>\n<p>Get details of other branches which are providing by the anna university under four year undergraduate programme connected to affiliated institutions in detailed way in this link,\u00a0 Anna University Regulation 2021.<\/p>\n<p><strong>Related Posts Of Semester &#8211; I:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.aplustopper.com\/hs3152-professional-english-i-syllabus\/\">HS3152 &#8211; Professional English &#8211; I<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/ph3151-engineering-physics-syllabus\/\">PH3151 &#8211; Engineering Physics<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/cy3151-engineering-chemistry-syllabus\/\">CY3151 &#8211; Engineering Chemistry<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Anna University, Subject code &#8211; MA3151, deals with the B.E civil Engineering Semester &#8211; I Matrices And Calculus syllabus regulation 2021 relating to affiliated institutions. From here, Students can get assistance in preparing notes to excel in academic performance. We include every topic of the Matrices And Calculus Syllabus, to understand the subject very well. [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":163769,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[115872],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v17.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>MA3151 - Matrices And Calculus Syllabus Regulation 2021 Anna University - A Plus Topper<\/title>\n<meta name=\"description\" content=\"Anna University, Subject code - MA3151, deals with the B.E civil Engineering Semester - I Matrices And Calculus syllabus regulation 2021 relating to affiliated institutions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/ma3151-matrices-and-calculus-syllabus\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MA3151 - 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