{"id":2658,"date":"2019-01-03T10:25:06","date_gmt":"2019-01-03T10:25:06","guid":{"rendered":"https:\/\/www.mysarkarinaukri.com\/info\/?p=2658"},"modified":"2021-05-05T10:07:53","modified_gmt":"2021-05-05T10:07:53","slug":"upsc-mathematics-syllabus","status":"publish","type":"post","link":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/","title":{"rendered":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains)"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><strong>UPSC Maths Syllabus<\/strong><\/h2>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Paper 1<\/strong><\/h4>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Mains Maths Paper Syllabus \u2013&nbsp;Linear Algebra:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension<\/li><li>Linear transformations, rank and nullity, matrix of a linear transformation, Algebra of Matrices<\/li><li>Row and column reduction, Echelon form, congruence\u2019s and similarity; Rank of a matrix; Inverse of a matrix<\/li><li>Solution of system of linear equations; Eigenvalues and eigenvectors, characteristic polynomial<\/li><li>Cayley-Hamilton theorem, Symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices and their eigenvalues.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Mathematics Syllabus of Calculus:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Real numbers, functions of a real variable, limits, continuity, differentiability, mean-value theorem<\/li><li>Taylor\u2019s theorem with remainders, indeterminate forms, maxima and minima, asymptotes; Curve tracing<\/li><li>Functions of two or three variables: limits, continuity, partial derivatives, maxima and minima<\/li><li>Lagrange\u2019s method of multipliers, Jacobian<\/li><li>Riemann\u2019s definition of definite integrals<\/li><li>Indefinite integral<\/li><li>Infinite and improper integrals<\/li><li>Double and triple integrals (evaluation techniques only); Areas, surface and volumes.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Math Syllabus \u2013 Analytic Geometry:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Cartesian And Polar Coordinates In Three Dimensions, Second Degree Equations In Three Variables, Reduction To Canonical Forms<\/li><li>Straight Lines<\/li><li>Shortest Distance Between Two Skew Lines<\/li><li>Plane, Sphere<\/li><li>Cone<\/li><li>Cylinder, Paraboloid,<\/li><li>Ellipsoid, Hyperboloid Of One And Two Sheets And Their Properties.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Mathematics Syllabus of Ordinary Differential Equations:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Formulation of differential equations; Equations of first order and first degree, integrating factor<\/li><li>Orthogonal trajectory; Equations of first order but not of first degree, Clairaut\u2019s equation, singular solution<\/li><li>Second and higher order linear equations with constant coefficients, complementary function particular integral and general solution.<br>Second order linear equations with variable coefficients, Euler-Cauchy equation; Determination of complete solution when one solution is known using method of variation of parameters.<br>Laplace and Inverse Laplace transforms and their properties; Laplace transforms of elementary functions<\/li><li>Application to initial value problems for 2nd order linear equations with constant coefficients.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Maths Syllabus \u2013 Dynamics &amp; Statics:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Rectilinear motion, simple harmonic motion, motion in a plane, projectiles; constrained motion<\/li><li>Work and energy, conservation of energy<\/li><li>Kepler\u2019s laws, orbits under central forces.<br>Equilibrium of a system of particles; Work and potential energy, friction; common catenary<\/li><li>Principle of virtual work; Stability of equilibrium, equilibrium of forces in three dimensions.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Mathematics Syllabus Vector Analysis:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Scalar and vector fields, differentiation of vector field of a scalar variable; Gradient, divergence and curl in cartesian and cylindrical coordinates<\/li><li>Higher order derivatives<\/li><li>Vector identities and vector equations.<\/li><li>Application to geometry<\/li><li>Curves in space, Curvature and torsion; Serret-Frenet\u2019s formulae. Gauss and Stokes\u2019 theorems, Green\u2019s identities.<\/li><\/ul>\n\n\n\n<p><strong>UPSC Maths Syllabus for <\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Paper 2<\/strong><\/h4>\n\n\n\n<h3 class=\"wp-block-heading\">UPSC Maths Paper Syllabus \u2013Algebra:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Groups, Subgroups, Cyclic Groups, Cosets, Lagrange\u2019s Theorem, Normal Subgroups, Quotient Groups<\/li><li>Homomorphism Of Groups, Basic Isomorphism Theorems, Permutation Groups, Cayley\u2019s Theorem.<\/li><li>Rings, Subrings And Ideals<\/li><li>Homomorphisms Of Rings<\/li><li>Integral Domains, Principal Ideal Domains, Euclidean domains and unique factorization domains; Fields, quotient fields.<\/li><\/ul>\n\n\n\n<p><strong>UPSC Math Syllabus of Real Analysis:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Real Number System As An Ordered Field With Least Upper Bound Property; Sequences, Limit Of A Sequence, Cauchy Sequence,<\/li><li>Completeness Of Real Line; Series And Its Convergence, Absolute And Conditional Convergence Of Series Of Real And Complex Terms, Rearrangement Of Series.<\/li><li>Continuity And Uniform Continuity Of Functions, Properties Of Continuous Functions On Compact Sets.<\/li><li>Riemann Integral, Improper Integrals; Fundamental Theorems Of Integral Calculus.<\/li><li>Uniform Convergence, Continuity, Differentiability And Integrability For Sequences And Series Of Functions<\/li><li>Partial Derivatives Of Functions Of Several (Two Or Three) Variables, Maxima And Minima.<\/li><\/ul>\n\n\n\n<p><strong>UPSC Mathematics Syllabus of Complex Analysis:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Analytic Functions, Cauchy-Riemann Equations, Cauchy\u2019s Theorem, Cauchy\u2019s Integral Formula,<\/li><li>Power Series Representation Of An Analytic Function, Taylor\u2019s Series; Singularities; Laurent\u2019s Series<\/li><li>Cauchy\u2019s Residue Theorem; Contour Integration.<\/li><\/ul>\n\n\n\n<p><strong>UPSC Mathematics  Syllabus of Linear Programming:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Linear Programming Problems, Basic Solution, Basic Feasible Solution And Optimal Solution; Graphical Method And Simplex Method Of Solutions; Duality<\/li><li>Transportation And Assignment Problems.<\/li><\/ul>\n\n\n\n<p>IAS Mains Mathematics Syllabus of Partial differential Equations:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Family Of Surfaces In Three Dimensions And Formulation Of Partial Differential Equations<\/li><li>Solution Of Quasilinear Partial Differential Equations Of The First Order, Cauchy\u2019s Method Of Characteristics;Linear Partial Differential Equations Of The Second Order With Constant Coefficients, Canonical Form<\/li><li>Equation Of A Vibrating String, Heat Equation, Laplace Equation And Their Solutions.<\/li><\/ul>\n\n\n\n<p><strong>UPSC Math Syllabus for Numerical Analysis and Computer programming:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Numerical methods: Solution of algebraic and transcendental equations of one variable by bisection, Regula-Falsi and Newton-Raphson methods; solution of system of linear equations by Gaussian elimination and Gauss-Jordan (direct), Gauss-Seidel(iterative) methods. Newton\u2019s (forward and backward) interpolation, Lagrange\u2019s interpolation.<\/li><li>Numerical integration: Trapezoidal rule, Simpson\u2019s rules, Gaussian quadrature formula.<\/li><li>Numerical solution of ordinary differential equations: Euler and Runga Kutta-methods.<\/li><li>Computer Programming: Binary system; Arithmetic and logical operations on numbers; Octal and Hexadecimal systems; Conversion to and from decimal systems; Algebra of binary numbers.<\/li><li>Elements of computer systems and concept of memory; Basic logic gates and truth tables, Boolean algebra, normal forms.<\/li><li>Representation of unsigned integers, signed integers and reals, double precision reals and long integers.<\/li><li>Algorithms and flow charts for solving numerical analysis problems<\/li><\/ul>\n\n\n\n<p><strong>UPSC Mathematics Syllabus of Mechanics and Fluid Dynamics:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Generalized Coordinates; D\u2019 Alembert\u2019s Principle And Lagrange\u2019s Equations; Hamilton Equations; Moment Of Inertia<\/li><li>Motion Of Rigid Bodies In Two Dimensions<\/li><li>Equation Of Continuity; Euler\u2019s Equation Of Motion For Inviscid Flow; Stream-Lines, Path Of A Particle; Potential Flow<\/li><li>Two-Dimensional And Axisymmetric Motion; Sources And Sinks, Vortex Motion; Navier-Stokes Equation For A Viscous Fluid.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>UPSC Maths Syllabus Paper 1 UPSC Mains Maths Paper Syllabus \u2013&nbsp;Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension Linear transformations, rank and nullity, matrix of a linear transformation, Algebra of Matrices Row and column reduction, Echelon form, congruence\u2019s and similarity; Rank of a matrix; Inverse of a matrix [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":16423,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[2],"tags":[],"class_list":["post-2658","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-syllabus","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri<\/title>\n<meta name=\"description\" content=\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri\" \/>\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.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri\" \/>\n<meta property=\"og:description\" content=\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\" \/>\n<meta property=\"og:site_name\" content=\"My Sarkari Naukri\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mysarkarinaukri\" \/>\n<meta property=\"article:published_time\" content=\"2019-01-03T10:25:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-05-05T10:07:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/i1.wp.com\/files.mysarkarinaukri.com\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1\" \/>\n\t<meta property=\"og:image:width\" content=\"640\" \/>\n\t<meta property=\"og:image:height\" content=\"360\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Shilpa\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mysarkarinaukri\" \/>\n<meta name=\"twitter:site\" content=\"@mysarkarinaukri\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Shilpa\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\"},\"author\":{\"name\":\"Shilpa\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/7933b70efba354b941dedb8a547f2a20\"},\"headline\":\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains)\",\"datePublished\":\"2019-01-03T10:25:06+00:00\",\"dateModified\":\"2021-05-05T10:07:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\"},\"wordCount\":889,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1\",\"articleSection\":[\"Syllabus\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\",\"url\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\",\"name\":\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri\",\"isPartOf\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1\",\"datePublished\":\"2019-01-03T10:25:06+00:00\",\"dateModified\":\"2021-05-05T10:07:53+00:00\",\"author\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/7933b70efba354b941dedb8a547f2a20\"},\"description\":\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri\",\"breadcrumb\":{\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage\",\"url\":\"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1\",\"width\":640,\"height\":360,\"caption\":\"UPSC General Studies Syllabus\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.mysarkarinaukri.com\/info\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Syllabus\",\"item\":\"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/#website\",\"url\":\"https:\/\/www.mysarkarinaukri.com\/info\/\",\"name\":\"My Sarkari Naukri\",\"description\":\"Government Jobs in India\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.mysarkarinaukri.com\/info\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/7933b70efba354b941dedb8a547f2a20\",\"name\":\"Shilpa\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/4e4a2d30f04a972a02162ad303a5bfd9044216fddf5dd37fbf8cae50ff332f34?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/4e4a2d30f04a972a02162ad303a5bfd9044216fddf5dd37fbf8cae50ff332f34?s=96&d=mm&r=g\",\"caption\":\"Shilpa\"},\"sameAs\":[\"https:\/\/www.indcareer.com\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri","description":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/","og_locale":"en_US","og_type":"article","og_title":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri","og_description":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri","og_url":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/","og_site_name":"My Sarkari Naukri","article_publisher":"https:\/\/www.facebook.com\/mysarkarinaukri","article_published_time":"2019-01-03T10:25:06+00:00","article_modified_time":"2021-05-05T10:07:53+00:00","og_image":[{"width":640,"height":360,"url":"https:\/\/i1.wp.com\/files.mysarkarinaukri.com\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1","type":"image\/jpeg"}],"author":"Shilpa","twitter_card":"summary_large_image","twitter_creator":"@mysarkarinaukri","twitter_site":"@mysarkarinaukri","twitter_misc":{"Written by":"Shilpa","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#article","isPartOf":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/"},"author":{"name":"Shilpa","@id":"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/7933b70efba354b941dedb8a547f2a20"},"headline":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains)","datePublished":"2019-01-03T10:25:06+00:00","dateModified":"2021-05-05T10:07:53+00:00","mainEntityOfPage":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/"},"wordCount":889,"commentCount":0,"image":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1","articleSection":["Syllabus"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/","url":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/","name":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri","isPartOf":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage"},"image":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1","datePublished":"2019-01-03T10:25:06+00:00","dateModified":"2021-05-05T10:07:53+00:00","author":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/7933b70efba354b941dedb8a547f2a20"},"description":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains) - My Sarkari Naukri","breadcrumb":{"@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#primaryimage","url":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1","contentUrl":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1","width":640,"height":360,"caption":"UPSC General Studies Syllabus"},{"@type":"BreadcrumbList","@id":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-mathematics-syllabus\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.mysarkarinaukri.com\/info\/"},{"@type":"ListItem","position":2,"name":"Syllabus","item":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},{"@type":"ListItem","position":3,"name":"UPSC Mathematics Syllabus Math Optional Subject (IAS Mains)"}]},{"@type":"WebSite","@id":"https:\/\/www.mysarkarinaukri.com\/info\/#website","url":"https:\/\/www.mysarkarinaukri.com\/info\/","name":"My Sarkari Naukri","description":"Government Jobs in India","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.mysarkarinaukri.com\/info\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/7933b70efba354b941dedb8a547f2a20","name":"Shilpa","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.mysarkarinaukri.com\/info\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/4e4a2d30f04a972a02162ad303a5bfd9044216fddf5dd37fbf8cae50ff332f34?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/4e4a2d30f04a972a02162ad303a5bfd9044216fddf5dd37fbf8cae50ff332f34?s=96&d=mm&r=g","caption":"Shilpa"},"sameAs":["https:\/\/www.indcareer.com\/"]}]}},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/8c40d0d6-upsc_1524852327-1.jpg?fit=640%2C360&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pagh7p-GS","jetpack-related-posts":[{"id":1680,"url":"https:\/\/www.mysarkarinaukri.com\/info\/detailed-upsc-combined-defence-services-examination-syllabus\/","url_meta":{"origin":2658,"position":0},"title":"Detailed UPSC Combined Defence Services Examination Syllabus","author":"Nakul Vilayatkar","date":"November 12, 2018","format":false,"excerpt":"Title: Detailed UPSC Combined Defence Services Examination Syllabus [su_table responsive=\"yes\"] Name of Organisation Union Public Service Commission Name of Posts Combined Defence Services Official Website http:\/\/www.upsc.gov.in\/ Recruitment Details Union Public Service Commission Combined Defence Services Type of Test Objective Type Test Mode Online (Computer Based Test - CBT) [\/su_table] Detailed\u2026","rel":"","context":"In &quot;Syllabus&quot;","block_context":{"text":"Syllabus","link":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},"img":{"alt_text":"Detailed UPSC Combined Defence Services","src":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/2018\/11\/b305eb62-upsc-cds-logo.gif?fit=356%2C272&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":3787,"url":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-nda-exam-syllabus\/","url_meta":{"origin":2658,"position":1},"title":"UPSC \u2013 NDA Exam Syllabus, Pattern &#038; Eligibility Criteria","author":"Shilpa","date":"January 11, 2019","format":false,"excerpt":"Scheme of the Examination for\u00a0UPSC NDAThe Examination will be conducted in Two Phase.Phase \u2013 IWritten Examination (Objective Type)Phase \u2013 IISSB Test\/Interview RBI UPSC NDA Exam PatternSubjectsTotal MarksTimeMathematics3002\u00bd HoursGeneral Ability Test6002\u00bd HoursTotal900SSB Test\/Interview900The SSB procedure consists of two stage Selection process \u2013 stage I and stage II. Only those candidates who\u2026","rel":"","context":"In &quot;Syllabus&quot;","block_context":{"text":"Syllabus","link":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},"img":{"alt_text":"UPSC \u2013 NDA Exam Syllabus","src":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/ad2e07ab-upsc_1524852327.jpg?fit=640%2C360&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/ad2e07ab-upsc_1524852327.jpg?fit=640%2C360&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/ad2e07ab-upsc_1524852327.jpg?fit=640%2C360&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":2675,"url":"https:\/\/www.mysarkarinaukri.com\/info\/ies-syllabus\/","url_meta":{"origin":2658,"position":2},"title":"IES Syllabus UPSC ESE (ECE\/ME\/Civil\/EE) Jan Exam Syllabus","author":"Shilpa","date":"January 3, 2019","format":false,"excerpt":"IES Syllabus: UPSC IES Syllabus for General Studies and Engineering Aptitude Topics covered in UPSC ESE Syllabus are as follows: Current issues of\u00a0National\u00a0and\u00a0InternationalEngineering Aptitude covering Logical reasoning and Analytical abilityEngineering Mathematics and Numerical AnalysisBasics of Energy and Environment and Project ManagementBasics of Material Science and EngineeringStandards and Quality practices in\u2026","rel":"","context":"In &quot;Syllabus&quot;","block_context":{"text":"Syllabus","link":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/5e56da3a-ies-syllabus.jpg?fit=246%2C205&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":6508,"url":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-ifs-syllabus\/","url_meta":{"origin":2658,"position":3},"title":"UPSC IFS Syllabus UPSC Indian Forest Service Examination Exam Pattern","author":"Shilpa","date":"February 4, 2019","format":false,"excerpt":"UPSC IFS Syllabus UPSC Indian Forest Service Examination Exam Pattern Indian Forest Services Prelims Exam Pattern UPSC Forest Services Preliminary Exam is an Objective type exam.It consists of Two Papers.Each Paper is conducted for 200 Marks.The time allotted for each paper is 2 Hours.The Question Paper will be available in\u2026","rel":"","context":"In &quot;Syllabus&quot;","block_context":{"text":"Syllabus","link":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},"img":{"alt_text":"UPSC IFS Syllabus","src":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/e6a389ec-upsc-civil-service-exam.jpg?fit=640%2C305&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/e6a389ec-upsc-civil-service-exam.jpg?fit=640%2C305&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/e6a389ec-upsc-civil-service-exam.jpg?fit=640%2C305&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":2281,"url":"https:\/\/www.mysarkarinaukri.com\/info\/upsc-syllabus\/","url_meta":{"origin":2658,"position":4},"title":"UPSC Syllabus 2019 (Prelims &#038; Mains) IAS\/CMS\/CAPF\/CSE\/IES\/ISS","author":"Shilpa","date":"December 31, 2018","format":false,"excerpt":"UPSC Syllabus UPSC 2019 Important Dates: ParticularsExam DatesEngineering Services (Preliminary) Examination, 201906.01.2019(SUNDAY)C.D.S. Examination (I), 201903.02.2019(SUNDAY)CISF AC(EXE) LDCE-201903.03.2019(SUNDAY)N.D.A. & N.A. Examination (I), 201921.04.2019(SUNDAY)Civil Services (Preliminary) Examination, 201902.06.2019(SUNDAY)Indian Forest Service (Preliminary) Examination, 2019 through CS(P) Examination 201902.06.2019I.E.S.\/I.S.S. Examination, 201928.06.2019(FRIDAY)Combined Geo-Scientist and Geologist Examination, 201928.06.2019(FRIDAY)Engineering Services (Main) Examination, 201930.06.2019(SUNDAY)Combined Medical Services Examination, 201921.07.2019(SUNDAY)Central\u2026","rel":"","context":"In &quot;Syllabus&quot;","block_context":{"text":"Syllabus","link":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},"img":{"alt_text":"UPSC Syllabus","src":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/3446d252-upsc_1491458516_618x347.jpeg?fit=618%2C347&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/3446d252-upsc_1491458516_618x347.jpeg?fit=618%2C347&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/3446d252-upsc_1491458516_618x347.jpeg?fit=618%2C347&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":2693,"url":"https:\/\/www.mysarkarinaukri.com\/info\/cds-syllabus\/","url_meta":{"origin":2658,"position":5},"title":"CDS Syllabus (OTA\/IMA\/INA\/AFA) UPSC CDS-1 &#038; 2 Exam Syllabus","author":"Shilpa","date":"January 3, 2019","format":false,"excerpt":"CDS Syllabus Paper 1: UPSC CDS Exam Syllabus for English Topics covered in UPSC CDS Syllabus are as follows: SynonymsAntonymsPara JumblesReading Comprehension\u00a0covered in CDS Exam SyllabusJumbled SentenceFill in the blanksSentence CorrectionFinding errors and omittions etc\u00a0covered in CDS Exam Syllabus Paper 2: CDS Exam Syllabus PDF of General Knowledge Topics covered\u2026","rel":"","context":"In &quot;Syllabus&quot;","block_context":{"text":"Syllabus","link":"https:\/\/www.mysarkarinaukri.com\/info\/syllabus\/"},"img":{"alt_text":"CDS Syllabus","src":"https:\/\/i0.wp.com\/www.mysarkarinaukri.com\/info\/wp-content\/uploads\/f08fc398-cds-syllabus_mndlins.jpg?fit=350%2C260&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]}],"_links":{"self":[{"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/posts\/2658","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/comments?post=2658"}],"version-history":[{"count":1,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/posts\/2658\/revisions"}],"predecessor-version":[{"id":19729,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/posts\/2658\/revisions\/19729"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/media\/16423"}],"wp:attachment":[{"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/media?parent=2658"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/categories?post=2658"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mysarkarinaukri.com\/info\/wp-json\/wp\/v2\/tags?post=2658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}