{"id":1373,"date":"2024-05-19T09:57:26","date_gmt":"2024-05-19T09:57:26","guid":{"rendered":"https:\/\/www.inspirenignite.com\/ap\/rac102-engineering-mathematicsi-syllabus-for-rac-1st-year-c20-regulation-apsbtet\/"},"modified":"2024-05-19T09:57:26","modified_gmt":"2024-05-19T09:57:26","slug":"rac102-engineering-mathematicsi-syllabus-for-rac-1st-year-c20-regulation-apsbtet","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/ap\/rac102-engineering-mathematicsi-syllabus-for-rac-1st-year-c20-regulation-apsbtet\/","title":{"rendered":"RAC-102: Engineering Mathematics-I syllabus for RAC 1st Year C20 regulation APSBTET"},"content":{"rendered":"

Engineering Mathematics-I detailed syllabus for Diploma in Refrigeration and Air Conditioning (RAC) for C20 regulation curriculum has been taken from the APSBTET<\/a> official website and presented for the RAC students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below. <\/p>\n

For Diploma in Refrigeration and Air Conditioning 1st Year scheme and its subjects, do visit RAC 1st Year C20 regulation scheme<\/a>. The detailed syllabus of engineering mathematics-i is as follows. <\/p>\n

Course Objectives<\/h4>\n

For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
\"Get<\/a> <\/p>\n

Course Outcomes:<\/h4>\n
    \n
  1. Identify various functions, resolve partial fractions and solve problems on matrices.<\/li>\n
  2. Solve problems using the concept of trigonometric functions, their inverses and complex numbers.<\/li>\n
  3. Find the equations and properties of straight lines, circles and conic sections in coordinate system.<\/li>\n
  4. Evaluate the limits and derivatives of various functions.<\/li>\n
  5. Evaluate solutions for engineering problems using differentiation.<\/li>\n<\/ol>\n

    Unit-I<\/h4>\n

    Algebra<\/strong><\/p>\n

      \n
    1. Relations and Functions:Define Set, Ordered pairs, Cartesian product, Relations, functions, domain & range of functions. Describe types of functions (in-to, many-to-one, one-one, onto and bijective) and inverse functions – examples.<\/li>\n
    2. Partial Fractions:Define rational, proper and improper fractions of polynomials. Resolve rational fractions in to their partial fractions covering the types mentioned below.<\/li>\n
        \n
      1. f(x) \/ (ax + b)(cx + d)<\/li>\n
      2. f(x) \/ (ax + b)^2 (cx + d)<\/li>\n
      3. f(x) \/ (x^2 + a^2)(bx + c)<\/li>\n
      4. f(x) \/ (x^2 + a^2)(x^2 + b^2)<\/li>\n<\/ol>\n
      5. Matrices:Definition of a matrix, types of matrices-examples, algebra of matrices-equality of two matrices, sum, scalar multiplication and product of matrices. Transpose of a matrix-Symmetric, skew symmetric matrices-Minor, cofactor of an element-Determinant of a square matrix-Laplace’s expansion, properties of determinants. Singular and non singular matrices-Adjoint and multiplicative inverse of a square matrix- examples-System of linear equations in 3 variables-Solutions by Cramers’s rule and Matrix inversion methodexamples.<\/li>\n<\/ol>\n

        Unit-II<\/h4>\n

        For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
        It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
        \"Get<\/a> <\/p>\n

        Unit-III<\/h4>\n

        Coordinate Geometry<\/strong><\/p>\n

          \n
        1. Straight lines: various forms of straight lines, angle between lines, perpendicular distance from a point, distance between parallel lines-examples.<\/li>\n
        2. Circle: locus of a point, Circle, definition-Circle equation given (i) centre and radius, (ii) two ends of a diameter (iii) centre and a point on the circumference (iv) three non collinear points – general equation of a circle – finding centre, radius.<\/li>\n
        3. Definition of a conic section, equation of a conic when focus directrix and eccentricity are given. properties of parabola, ellipse and hyperbola in standard forms.<\/li>\n<\/ol>\n

          Unit-IV<\/h4>\n

          Differential Calculus<\/strong><\/p>\n

            \n
          1. Concept of Limit- Definition- Properties of Limits and Standard Limits -Simple Problems-Continuity of a function at a point- Simple Examples only.<\/li>\n
          2. Concept of derivative- Definition (first principle)- different notations-derivatives of elementary functions- problems. Derivatives of sum, product, quotient, scalar multiplication of functions – problems. Chain rule, derivatives of inverse trigonometric functions, derivative of a function with respect to another function, derivative of parametric functions, derivative of hyperbolic, implicit functions, logarithmic differentiation – problems in each case. Higher order derivatives – examples – functions of several variables – partial differentiation, Euler’s theorem-simple problems.<\/li>\n<\/ol>\n

            Unit-V<\/h4>\n

            Applications of Derivatives:<\/strong><\/p>\n

              \n
            1. Geometrical meaning of the derivative, equations of Tangent and normal to a curve at any point. Lengths of tangent, normal, subtangent and subnormal to the curve at any point – problems.<\/li>\n
            2. Physical applications of the derivative – velocity, acceleration, derivative as a rate measure -Problems.<\/li>\n
            3. Applications of the derivative to find the extreme values – Increasing and decreasing functions, finding the maxima and minima of simple functions – problems leading to applications of maxima and minima.<\/li>\n
            4. Using the concept of derivative of a function of single variable, find the absolute error, relative and percentage errors and approximate values due to errors in measuring.<\/li>\n<\/ol>\n

              Text Books:<\/h4>\n

              For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
              It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
              \"Get<\/a> <\/p>\n

              Reference Books:<\/h4>\n
                \n
              1. Shanti Narayan, A Textbook of matrices, S.Chand&Co.<\/li>\n
              2. Robert E. Moyer & Frank Ayers Jr., Schaum\u00e2\u20ac\u0178s Outline of Trigonometry, 4th Edition,Schaum\u00e2\u20ac\u0178s Series<\/li>\n
              3. M.Vygodsky, Mathematical Handbook, Mir Publishers, Moscow.<\/li>\n
              4. Frank Ayers & Elliott Mendelson, Schaum\u00e2\u20ac\u0178s Outline of Calculus, Schaum\u00e2\u20ac\u0178s Series<\/li>\n<\/li>\n<\/ol>\n

                For detailed syllabus of all other subjects of Diploma in Refrigeration and Air Conditioning, C20 regulation curriculum do visit RAC 1st Year subject syllabuses for C20 regulation<\/a>. <\/p>\n

                For all Diploma in Refrigeration and Air Conditioning exam timetable, visit APSBTET RAC all semester exam timetable<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"

                Engineering Mathematics-I detailed syllabus for Diploma in Refrigeration and Air Conditioning (RAC) for C20 regulation curriculum has been taken from the APSBTET official website and presented for the RAC students. […]<\/p>\n","protected":false},"author":2530,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[6,43],"tags":[],"class_list":["post-1373","post","type-post","status-publish","format-standard","hentry","category-1st-year","category-rac"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/posts\/1373","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/users\/2530"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/comments?post=1373"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/posts\/1373\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/media?parent=1373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/categories?post=1373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/tags?post=1373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}