{"id":294556,"date":"2025-02-12T15:46:54","date_gmt":"2025-02-12T10:16:54","guid":{"rendered":"https:\/\/plutusias.com\/elearning\/?post_type=product&p=294556"},"modified":"2025-02-20T10:54:16","modified_gmt":"2025-02-20T05:24:16","slug":"mathematics-optional","status":"publish","type":"product","link":"https:\/\/plutusias.com\/elearning\/product\/mathematics-optional\/","title":{"rendered":"Mathematics Optional"},"content":{"rendered":"

Mathematics Optional Syllabus for UPSC<\/strong><\/h3>\n

The syllabus is divided into two papers: Paper I<\/strong> and Paper II<\/strong>.<\/p>\n

Paper I<\/strong> (Pure Mathematics)<\/h4>\n
    \n
  1. Linear Algebra<\/strong> \u2013 Matrices, Determinants, Eigenvalues, Vector Spaces<\/li>\n
  2. Calculus<\/strong> \u2013 Limits, Continuity, Differentiability, Maxima & Minima<\/li>\n
  3. Analytic Geometry<\/strong> \u2013 Cartesian and Polar Coordinates, Conics<\/li>\n
  4. Ordinary Differential Equations<\/strong> \u2013 First and Higher Order Differential Equations<\/li>\n
  5. Vector Analysis<\/strong> \u2013 Gradient, Divergence, Curl, Green\u2019s Theorem, Stoke\u2019s Theorem<\/li>\n
  6. Statics and Dynamics<\/strong> \u2013 Equilibrium, Simple Harmonic Motion, Work & Energy<\/li>\n<\/ol>\n

    Paper II<\/strong> (Applied Mathematics)<\/h4>\n
      \n
    1. Modern Algebra & Real Analysis<\/strong> \u2013 Groups, Rings, Real Sequences<\/li>\n
    2. Complex Analysis<\/strong> \u2013 Analytic Functions, Contour Integration<\/li>\n
    3. Linear Programming<\/strong> \u2013 Simplex Method, Duality<\/li>\n
    4. Partial Differential Equations<\/strong> \u2013 First Order, Second Order Equations<\/li>\n
    5. Numerical Analysis & Computer Programming<\/strong> \u2013 Errors, Newton\u2019s Method, Algorithms<\/li>\n
    6. Mechanics & Fluid Dynamics<\/strong> \u2013 Kinematics, Equations of Motion, Boundary Layers<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

      Plutus IAS Mathematics Optional\u00a0<\/strong><\/h3>\n
        \n
      • Mode:<\/strong> Online & Offline Classes<\/li>\n
      • Faculty:<\/strong> Experienced teachers with a focus on conceptual clarity<\/li>\n
      • Study Material:<\/strong> Comprehensive notes, practice problems, and previous year solutions<\/li>\n
      • Answer Writing:<\/strong> Regular tests and answer evaluation<\/li>\n
      • Doubt Clearing:<\/strong> Interactive sessions for concept revision<\/li>\n<\/ul>\n

        The Mathematics Optional<\/strong> syllabus for UPSC Civil Services Examination covers a wide range of topics from pure and applied mathematics. Plutus IAS offers coaching for Mathematics Optional, focusing on conceptual clarity, problem-solving techniques, and answer-writing practice.<\/p>\n","protected":false},"featured_media":294557,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":""},"product_cat":[15],"product_tag":[],"class_list":{"0":"post-294556","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-upsc","7":"pmpro-has-access","9":"first","10":"instock","11":"sale","12":"shipping-taxable","13":"purchasable","14":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/product\/294556","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/comments?post=294556"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/media\/294557"}],"wp:attachment":[{"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/media?parent=294556"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/product_cat?post=294556"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/plutusias.com\/elearning\/wp-json\/wp\/v2\/product_tag?post=294556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}