Engineering Mathematics-III detailed syllabus for Diploma in Civil Engineering (DCE) for C20 regulation curriculum has been taken from the APSBTET official website and presented for the DCE 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.
For Diploma in Civil Engineering 4th Sem scheme and its subjects, do visit DCE 4th Sem C20 regulation scheme. The detailed syllabus of engineering mathematics-iii is as follows.
Unit Title
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Course Objectives:
- To learn the principles of solving differential equations of second and higher order.
- To comprehend the concept of Laplace transformations and inverse Laplace transformations.
- To understand the concept of Fourier Series expansion of functions.
Unit I
Differential Equations of higher order
1. Solve Homogenous linear differential equations with constant coefficients of order two and higher with emphasis on second order.
2. Solve Non-homogenous linear differential equations with constant coefficients of the form f(D)y = X where X is in the form k(constant), e^ax, sinax, cosax, x^n, where n is a positive integer, finding complimentary function, particular integral and general solution.
Unit II
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Unit III
Fourier series
4. Orthogonality of trigonometric functions, Representation of a function in Fourier series over the interval (c , c + 2.pi) and (c , c + 2.l), Eulers formulae , sufficient conditions for existence of Fourier series expansion of a function, Fourier series expansion of basic functions limited to k(constant), x, x^2, sin ax, cos ax, e^a.x and their combinations over the intervals (0, 2.pi),(-pi,pi),(0, 2.l),(-l,l) , Fourier series for even and odd functions over (-pi,pi)and(-l,l), Fourier half-range sine and cosine series over (0, pi)and (0, l)
Text Books:
Engineering Mathematics-I, a textbook for first year diploma courses, prepared & prescribed by SBTET, AP.
Reference Books:
- B.S.Grewal, Higher Engineering Mathematics, Khanna Publishers
- M.R. Spiegel, Schaums Outline of Laplace Transforms, Schaums Series
- M.Vygodsky, Mathematical Handbook: Higher Mathematics, Mir Publishers, Moscow.
For detailed syllabus of all other subjects of Diploma in Civil Engineering, C20 regulation curriculum do visit DCE 4th Sem subject syllabuses for C20 regulation.
For all Diploma in Civil Engineering exam timetable, visit APSBTET DCE all semester exam timetable direct link.