{"id":25380,"date":"2020-07-23T16:09:43","date_gmt":"2020-07-23T16:09:43","guid":{"rendered":"https:\/\/www.inspirenignite.com\/jntuh\/18c202f-engineering-mathematics-syllabus-for-civil-engineering-2nd-sem-c18-curriculum-tssbtet\/"},"modified":"2020-07-23T16:09:43","modified_gmt":"2020-07-23T16:09:43","slug":"18c202f-engineering-mathematics-syllabus-for-civil-engineering-2nd-sem-c18-curriculum-tssbtet","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/18c202f-engineering-mathematics-syllabus-for-civil-engineering-2nd-sem-c18-curriculum-tssbtet\/","title":{"rendered":"18C-202F: Engineering Mathematics Syllabus for Civil Engineering 2nd Sem C18 Curriculum TSSBTET"},"content":{"rendered":"

Engineering Mathematics detailed Syllabus for Civil Engineering (DCE), C18 curriculum has been taken from the TSSBTET<\/a> official website and presented for the diploma students. For Course Code, Course Name, Lectures, Tutorial, Practical\/Drawing, Internal Marks, Max Marks, Total Marks, Min Marks and other information, do visit full semester subjects post given below. <\/p>\n

For all other Diploma in Civil Engineering (DCE) Syllabus for 2nd Sem C18 Curriculum TSSBTET, do visit Diploma in Civil Engineering (DCE) Syllabus for 2nd Sem C18 Curriculum TSSBTET Subjects<\/a>. The detailed Syllabus for engineering mathematics is as follows. <\/p>\n

Prerequisites:<\/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 Outcome:<\/h4>\n

At the end of the course, the student will have the ability to:<\/p>\n

    \n
  1. Formulate the equations of Straight Line , Circle and Conic Sections<\/li>\n
  2. Evaluate the Limits of different Functions<\/li>\n
  3. Determine the Derivatives of Various Functions<\/li>\n
  4. Find the Successive Derivatives and Partial Derivatives of Functions<\/li>\n
  5. Use Differentiation in Geometrical and Physical Applications<\/li>\n
  6. Find Maxima and Minima.<\/li>\n<\/ol>\n

    Unit I<\/h4>\n

    Co-Ordinate Geometry<\/i>\n <\/p>\n

      \n
    1. Straight lines: Write the different forms of a straight line – point slope form, two point form, intercept form, normal form and general form – Find distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines – perpendicular distance from a point to a line – Solve simple problems on the above forms<\/li>\n
    2. Circle: Define locus of a point, circle and its equation. Find equation of the Circle given\n
        \n
      1. Centre and radius,<\/li>\n
      2. two ends of a diameter<\/li>\n
      3. Centre and a point on the circumference<\/li>\n
      4. three non collinear points and<\/li>\n
      5. Centre and tangent equation – general equation of a circle – finding Centre, radius – tangent, normal to circle at a point on it – simple problems.<\/li>\n<\/ol>\n<\/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>
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        Unit-III<\/h4>\n

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

          \n
        1. Functions & Limits : Concept of Limit- Definition- Properties of Limits and Standard Limits ( without proof ) – lim x -> a ( (x^n – a^n) \/ (x – a) ), lim x -> 0 (sin x \/ x), lim x -> 0 (tan x \/ x), lim x -> 0 ((a^x – 1) \/ x), lim x -> 0 ((e^x – 1) \/ x), lim x -> 0 (1 – x)^(1\/x), lim x -> infinity (1 + (1\/x))^x – Simple Problems. Evaluate the limits of the type lim x -> l ((ax^2 + bx + c)\/(alpha x^2 + beta x + gamma)) and lim x -> infinity f(x)\/g(x).<\/li>\n
        2. Differentiation – I : Concept of derivative – definition from first principle as lim (f (x + h) – f (x)) \/ h – different notations – derivatives of elementary functions like x^n , a^x, e^x, log x, sin x, cos x, tan x, Sec x, Cosec x and Cot x. Derivatives of sum, product, quotient, scalar multiplication of functions – problems. Derivative of function of a function (Chain rule) with illustrative examples such as\n
            \n
          1. sqrt (t^2 + 2\/t)<\/li>\n
          2. x^2 sin2x<\/li>\n
          3. x \/ (sqrt (x^2 + 1))<\/li>\n
          4. log(sin(cosx)).<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

            Unit – IV<\/h4>\n

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

              \n
            1. Differentiation – II: 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, Eulers theorem-simple problems.<\/li>\n<\/ol>\n

              Unit – V<\/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>
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              Unit – VI<\/h4>\n

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

                \n
              1. Physical Applications: Physical applications of the derivative – Explain the derivative as a rate of change in distance-time relations to find the velocity and acceleration of a moving particle with examples. Explain the derivative as a rate measure in the problems where the quantities like volumes, areas vary with respect to time- illustrative examples- Simple Problems.<\/li>\n
              2. Maxima & Minima: 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<\/ol>\n

                References:<\/h4>\n
                  \n
                1. Co – Ordinate Geometry – by S.L. Loney<\/li>\n
                2. Thomas Calculus, Pearson Addison – Wesley Publications<\/li>\n
                3. Calculus – I by Shanti Narayan and Manicavachagam Pillai, S.V Publications.<\/li>\n
                4. NCERT Mathematics Text Books Of Class XI, XII.<\/li>\n
                5. Intermediate Mathematics Text Books (Telugu Academy)<\/li>\n<\/ol>\n

                  Suggested E-Learning<\/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 Outcome:<\/h4>\n

                  Unit – I Coordinate Geometry<\/strong>\n <\/p>\n

                  Solve the Problems On Straight Lines<\/strong>\n <\/p>\n