{"id":14087,"date":"2018-04-20T10:26:05","date_gmt":"2018-04-20T04:56:05","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=14087"},"modified":"2018-12-28T12:52:58","modified_gmt":"2018-12-28T07:22:58","slug":"uk-board-class-12-mathematics-syllabus","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/","title":{"rendered":"UK Board Class 12 Mathematics Syllabus"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-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:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#UK_Board_Syllabus_Class_12\" >UK Board Syllabus Class 12<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#UK_Board_Class_12_Mathematics_Chapter_list_in_Hindi\" >UK Board Class 12 Mathematics\u00a0Chapter list in (Hindi)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Uttarakhand_Board_Class_12_Mathematics_Chapter_list_in_English\" >Uttarakhand Board\u00a0Class 12 Mathematics Chapter list in (English)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#UK_Board_Class_12_Mathematics_Syllabus\" >UK Board Class 12 Mathematics Syllabus<\/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:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Objectives\" >Objectives<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#UK_Board_Class_12_Mathematics_Syllabus-2\" >UK Board Class 12 Mathematics Syllabus<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Unit-I_Relations_and_Functions\" >Unit-I: Relations and Functions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Unit-II_Algebra\" >Unit-II: Algebra<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Unit-III_Calculus\" >Unit-III: Calculus<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Unit-IV_Vectors_and_Three-Dimensional_Geometry\" >Unit-IV: Vectors and Three-Dimensional Geometry<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Unit-V_Linear_Programming\" >Unit-V: Linear Programming<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Unit-VI_Probability\" >Unit-VI: Probability<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#Prescribed_Books_For_UK_Board_Class_12_Mathematics_Syllabus\" >Prescribed Books For\u00a0UK Board Class 12 Mathematics Syllabus<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/#QUESTION_WISE_BREAK_UP\" >QUESTION WISE BREAK UP<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><strong>UK Board Class 12 Mathematics Syllabus<\/strong> in PDF format for free download. Mathematics syllabus for Class 12 UK Board is now available in the myCBSEguide app. The curriculum for Uttarakhand Board exams is designed by UBSE, Uttarakhand as per NCERT textbooks for the session.<\/p>\n<p style=\"text-align: center;\"><strong>UK Board Class 12 Mathematics Syllabus \u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/uttarakhand-board-class-12-mathematics-(%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4)\/3781\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/Class%20maths%20Book%20.jpg\" alt=\"UK Board Class 12 Mathematics Syllabus\" width=\"122\" height=\"156\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"UK_Board_Syllabus_Class_12\"><\/span>UK Board Syllabus Class 12<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-business-studies-syllabus\/\">Business Studies Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-physics-syllabus\/\">Physics Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-chemistry-syllabus\/\">Chemistry Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-history-syllabus\/\">History\u00a0 Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-political-science-syllabus\/\">Political Science Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-hindi-syllabus\/\">Hindi Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-english-syllabus\/\">English Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-economics-syllabus\/\">Economics Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-sociology-syllabus\/\">Sociology Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-geography-syllabus\/\">Geography Class 12 UK Board Syllabus\u00a0<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-psychology-syllabus\/\">Psychology Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-accountancy-syllabus\/\">Accountancy Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<li class=\"entry-title\"><strong><a href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-biology-syllabus\/\">Biology Class 12 UK Board Syllabus<\/a><\/strong><\/li>\n<\/ul>\n<h2 class=\"western\"><span class=\"ez-toc-section\" id=\"UK_Board_Class_12_Mathematics_Chapter_list_in_Hindi\"><\/span><strong>UK Board Class 1<\/strong><strong>2<\/strong><strong> Mathematics\u00a0<\/strong>Chapter list in (Hindi)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>\u0938\u0902\u092c\u0902\u0927 \u090f\u0935\u0902 \u092b\u0932\u0928<\/li>\n<li>\u092a\u094d\u0930\u0924\u093f\u0932\u094b\u092e \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u092b\u0932\u0928<\/li>\n<li>\u0906\u0935\u094d\u092f\u0942\u0939<\/li>\n<li>\u0938\u093e\u0930\u0923\u093f\u0915<\/li>\n<li>\u0938\u093e\u0902\u0924\u0924\u094d\u092f \u0924\u0925\u093e \u0905\u0935\u0915\u0932\u0928\u0940\u092f\u0924\u093e<\/li>\n<li>\u0905\u0935\u0915\u0932\u091c \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917<\/li>\n<li>\u0938\u092e\u093e\u0915\u0932\u0928<\/li>\n<li>\u0938\u092e\u093e\u0915\u0932\u0928\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917<\/li>\n<li>\u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923<\/li>\n<li>\u0938\u0926\u093f\u0936 \u092c\u0940\u091c\u0917\u0923\u093f\u0924<\/li>\n<li>\u0924\u094d\u0930\u093f-\u0935\u093f\u092e\u0940\u092f \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940<\/li>\n<li>\u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u0928<\/li>\n<li>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Uttarakhand_Board_Class_12_Mathematics_Chapter_list_in_English\"><\/span>Uttarakhand Board\u00a0Class 12 Mathematics Chapter list in (English)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Relations and Functions<\/li>\n<li>Inverse Trigonometric Functions<\/li>\n<li>Matrices<\/li>\n<li>Determinants<\/li>\n<li>Continuity and Differentiability<\/li>\n<li>Application of Derivatives<\/li>\n<li>Integrals<\/li>\n<li>Application of Integrals<\/li>\n<li>Differential Equations<\/li>\n<li>Vector Algebra<\/li>\n<li>Three Dimensional Geometry<\/li>\n<li>Linear Programming<\/li>\n<li>Probability<\/li>\n<\/ol>\n<h2 class=\"western\"><span class=\"ez-toc-section\" id=\"UK_Board_Class_12_Mathematics_Syllabus\"><\/span><strong>UK Board Class 1<\/strong><strong>2<\/strong><strong> Mathematics Syllabus<\/strong><!--{cke_protected}{C}%3C!%2D%2D%20Ionic's%20root%20component%20and%20where%20the%20app%20will%20load%20%2D%2D%3E--><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div>\n<p>The Syllabus in the subject of Mathematics has undergone changes from time to time in<br \/>\naccordance with growth of the subject and emerging needs of the society. Senior Secondary<br \/>\nthe stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Bioscience, Commerce or Computer Applications.<\/p>\n<p>The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines are given in Focus Group on Teaching of Mathematics 2005 which is to meet the emerging needs of all categories of students. Motivating the topics from real life situations and other subject areas, greater emphasis has been laid on the application of various concepts.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Objectives\"><\/span><strong>Objectives<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The broad objectives of teaching Mathematics at senior school stage intend to help the students To:<\/p>\n<ul>\n<li>Acquire knowledge and critical understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols, and mastery of underlying processes and skills.<\/li>\n<li>to feel the flow of reasons while proving a result or solving a problem.<\/li>\n<li>Apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method.<\/li>\n<li>Develop a positive attitude to think, analyze and articulate logically.<\/li>\n<li>Develop an interest in the subject by participating in related competitions.<\/li>\n<li>Acquaint students with different aspects of Mathematics used in daily life.<\/li>\n<li>Develop an interest in students to study Mathematics as a discipline.<\/li>\n<li>Developing awareness of the need for national integration, protection of the environment, observance of small family norms, removal of social barriers, elimination of gender biases.<\/li>\n<li>Develop reverence and respect towards great Mathematicians for their contributions to the field of Mathematics.<\/li>\n<\/ul>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"UK_Board_Class_12_Mathematics_Syllabus-2\"><\/span>UK Board Class 12 Mathematics Syllabus<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>One Paper Time: 3 hrs.<br \/>\nMax Marks. 100<\/strong><\/p>\n<table class=\"mobile\" border=\"1\" width=\"764\" cellspacing=\"0\" cellpadding=\"3\">\n<tbody>\n<tr>\n<td><strong>Units<\/strong><\/td>\n<td><\/td>\n<td><strong>No.ofPeriods<\/strong><\/td>\n<td><strong>Marks<\/strong><\/td>\n<\/tr>\n<tr>\n<td>I.<\/td>\n<td>Relations and Functions<\/td>\n<td>30<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>II.<\/td>\n<td>Algebra<\/td>\n<td>50<\/td>\n<td>13<\/td>\n<\/tr>\n<tr>\n<td>III.<\/td>\n<td>Calculus<\/td>\n<td>80<\/td>\n<td>44<\/td>\n<\/tr>\n<tr>\n<td>IV.<\/td>\n<td>Vectors andThree &#8211; Dimensional Geometry<\/td>\n<td>30<\/td>\n<td>17<\/td>\n<\/tr>\n<tr>\n<td>V.<\/td>\n<td>Linear Programming<\/td>\n<td>20<\/td>\n<td>06<\/td>\n<\/tr>\n<tr>\n<td>VI.<\/td>\n<td>Probability<\/td>\n<td>30<\/td>\n<td><strong>10<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><strong>240<\/strong><\/td>\n<td><strong>100<\/strong><\/td>\n<td><strong>100<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4><span class=\"ez-toc-section\" id=\"Unit-I_Relations_and_Functions\"><\/span><strong>Unit-I: Relations and Functions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><strong>Relations and Functions 15 Periods<\/strong><br \/>\nTypes of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, an inverse of a function. Binary operations.<\/li>\n<li><strong>Inverse Trigonometric Functions 15 Periods<\/strong><br \/>\nDefinition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"Unit-II_Algebra\"><\/span><strong>Unit-II: Algebra<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><strong>Matrices 25 Periods<\/strong><br \/>\nThe concept, notation, order, equality, types of matrices, zero and identity matrix, the transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication, and scalar multiplication. Non- commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).The concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).<\/li>\n<li><strong>Determinants 25 Periods<\/strong><br \/>\nThe determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"Unit-III_Calculus\"><\/span><strong>Unit-III: Calculus<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><strong>Continuity and Differentiability 20 Periods<\/strong><br \/>\nContinuity and differentiability, the derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. The concept of exponential and logarithmic functions.<br \/>\nDerivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle\u2019s and Lagrange&#8217;s Mean Value Theorems (without proof) and their geometric interpretation.<\/li>\n<li><strong>Applications of Derivatives 10 Periods<\/strong><br \/>\nApplications of derivatives: the rate of change of bodies, increasing\/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).<\/li>\n<li><strong>Integrals 20 Periods<\/strong><br \/>\nIntegration as inverse process of differentiation. Integration ofavariety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.<br \/>\n\u222b<em>d<\/em><em>x<\/em><em>x<\/em>2\u00b1<em>a<\/em>2,\u222b<em>d<\/em><em>x<\/em><em>x<\/em>2\u00b1<em>a<\/em>2\u221a,\u222b<em>d<\/em><em>x<\/em><em>a<\/em>2\u2212<em>x<\/em>2\u221a,\u222b<em>d<\/em><em>x<\/em><em>a<\/em><em>x<\/em>2+<em>b<\/em><em>x<\/em>+<em>c<\/em>,\u222b<em>d<\/em><em>x<\/em><em>a<\/em><em>x<\/em>2+<em>b<\/em><em>x<\/em>+<em>c<\/em>\u221a\u222bdxx2\u00b1a2,\u222bdxx2\u00b1a2,\u222bdxa2\u2212x2,\u222bdxax2+bx+c,\u222bdxax2+bx+c<br \/>\n\u222b<em>p<\/em><em>x<\/em>+<em>q<\/em><em>a<\/em><em>x<\/em>2+<em>b<\/em><em>x<\/em>+<em>c<\/em><em>d<\/em><em>x<\/em>,\u222b<em>p<\/em><em>x<\/em>+<em>q<\/em><em>a<\/em><em>x<\/em>2+<em>b<\/em><em>x<\/em>+<em>c<\/em>\u221a<em>d<\/em><em>x<\/em>,\u222b<em>a<\/em>2\u00b1<em>x<\/em>2\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u221a<em>d<\/em><em>x<\/em>,\u222b<em>x<\/em>2\u2212<em>a<\/em>2\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u221a<em>d<\/em><em>x<\/em>\u222bpx+qax2+bx+cdx,\u222bpx+qax2+bx+cdx,\u222ba2\u00b1x2dx,\u222bx2\u2212a2dx<br \/>\n\u222b<em>a<\/em><em>x<\/em>2+<em>b<\/em><em>x<\/em>+<em>c<\/em>\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u221a<em>d<\/em><em>x<\/em>,\u222b(<em>p<\/em><em>x<\/em>+<em>q<\/em>)<em>a<\/em><em>x<\/em>2+<em>b<\/em><em>x<\/em>+<em>c<\/em>\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u221a<em>d<\/em><em>x<\/em>\u222bax2+bx+cdx,\u222b(px+q)ax2+bx+cdx<br \/>\nDefinite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"Unit-IV_Vectors_and_Three-Dimensional_Geometry\"><\/span><strong>Unit-IV: Vectors and Three-Dimensional Geometry<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><strong>Vectors 15 Periods<\/strong><br \/>\nVectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties, and application of scalar (dot) product of vectors, vector (cross) product of vectors, a scalar triple product of vectors.<\/li>\n<li><strong>Three &#8211; dimensional Geometry 15 Periods<\/strong><br \/>\nDirection cosines and direction ratios of a line joining two points.Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. The distance of a point from a plane.<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"Unit-V_Linear_Programming\"><\/span><strong>Unit-V: Linear Programming<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><strong>Linear Programming 20 Periods<\/strong><br \/>\nIntroduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"Unit-VI_Probability\"><\/span><strong>Unit-VI: Probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><strong>Probability 30 Periods<\/strong><br \/>\nConditional probability, multiplication theorem on probability, independent events, total probability, Bayes\u2019 theorem, Random variable, and its probability distribution, mean and variance of the random variable. Repeated independent (Bernoulli) trials and Binomial distribution.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Prescribed_Books_For_UK_Board_Class_12_Mathematics_Syllabus\"><\/span><strong>Prescribed Books For\u00a0UK Board Class 12 Mathematics Syllabus<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Maths Textbook for Class XI, NCERT Publications<\/li>\n<li>Mathematics Part I &#8211; Textbook for Class XII, NCERT Publication<\/li>\n<li>Maths Part II &#8211; Textbook for Class XII, NCERT Publication<\/li>\n<li>Mathematics Exemplar Problem for Class XI, Published by NCERT<\/li>\n<li>Mathematics Exemplar Problem for Class XII, Published by<\/li>\n<\/ol>\n<table class=\"mobile\" border=\"1\" cellspacing=\"0\" cellpadding=\"3\">\n<tbody>\n<tr>\n<td><strong>Type of Question<\/strong><\/td>\n<td><strong>Mark per<br \/>\nQuestion<\/strong><\/td>\n<td><strong>Total No. of<br \/>\nQuestions<\/strong><\/td>\n<td><strong>Total<br \/>\nMarks<\/strong><\/td>\n<\/tr>\n<tr>\n<td>VSA<\/td>\n<td>1<\/td>\n<td>4<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>SA<\/td>\n<td>2<\/td>\n<td>8<\/td>\n<td>16<\/td>\n<\/tr>\n<tr>\n<td>LA-I<\/td>\n<td>4<\/td>\n<td>11<\/td>\n<td>44<\/td>\n<\/tr>\n<tr>\n<td>LA-II<\/td>\n<td>6<\/td>\n<td>6<\/td>\n<td>36<\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><\/td>\n<td><strong>29<\/strong><\/td>\n<td><strong>100<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"QUESTION_WISE_BREAK_UP\"><\/span><strong>QUESTION WISE BREAK UP<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>No chapter wise weightage. Care to be taken to cover all the chapters.<\/li>\n<li>Suitable internal variations may be made for generating various templates keeping the overall weightage to the different form of questions and typology of questions same.<\/li>\n<\/ol>\n<p><strong>Choice(s):<\/strong><br \/>\nThere will be no overall choice in the question paper.<br \/>\nHowever, 30% internal choices will be given in 4 marks and 6 marks questions.<\/p>\n<\/div>\n<div>For study material on UK Board Class 12 Mathematics Syllabus download\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\">myCBSEguide app.<\/a>UK Board Class 12 Mathematics Syllabus is also available on the myCBSEguide website. UK Board Class 12 Mathematics Syllabus for the session 2018-19 is available here in PDF format. For the latest UK Board Class 12 Mathematics Syllabus, please visit UBSE official website.<\/div>\n","protected":false},"excerpt":{"rendered":"<p>UK Board Class 12 Mathematics Syllabus in PDF format for free download. Mathematics syllabus for Class 12 UK Board is now available in the myCBSEguide app. The curriculum for Uttarakhand Board exams is designed by UBSE, Uttarakhand as per NCERT textbooks for the session. UK Board Class 12 Mathematics Syllabus \u00a0Download as PDF UK Board &#8230; <a title=\"UK Board Class 12 Mathematics Syllabus\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/uk-board-class-12-mathematics-syllabus\/\" aria-label=\"More on UK Board Class 12 Mathematics Syllabus\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":-1,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1472],"tags":[1342,321,1389,1363,1364],"class_list":["post-14087","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-class-12","tag-class-12","tag-mathematics","tag-ubse","tag-uk-board-syllabus","tag-uttarakhand-board"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>UK Board Class 12 Mathematics Syllabus | myCBSEguide<\/title>\n<meta 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