Engineering Mathematics -II 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 3rd Sem scheme and its subjects, do visit DCE 3rd Sem C20 regulation scheme. The detailed syllabus of engineering mathematics -ii is as follows.
Unit Title
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Course Objectives:
- To understand the concepts of indefinite integrals and definite integrals with applications to engineering problems.
- To understand the formation of differential equations and learn various methods of solving them.
Unit I
Indefinite Integration.
1. Integration regarded as anti-derivative – Indefinite integrals of standard functions. Properties of indefinite integrals. Integration by substitution or change of variable. Integrals of tan x, cot x, sec x, cosec x. Integrals of the form J sinm X.COSn xdx, where at least one of m and n is odd positive integers. Integrals of suitable powers of tanx. secx and cosecx.cotx by substitution.
Evaluation of integrals which are reducible to the following forms:
- 1 / (a^2 + x^2) ,1 / (a^2 – x^2), 1 / (x^2 – a^2)
- 1 / sqrt(a^2 + x^2), 1 / sqrt(a^2 – x^2), 1 / sqrt(x^2 – a^2)
- sqrt(x^2 – a^2), sqrt(x^2 + a^2), sqrt(a^2 – x^2)Integration by decomposition of the integrand into simple rational, algebraic functions. Integration by parts, Bernoullis rule and integrals of the form integral e^x[f(x) + f not(x)] dx.
Unit II
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Unit III
Differential Equations:
3. Definition of a differential equation-order and degree of a differential equation- formation of differential equations-solutions of differential equations of first order and first degree using methods, variables separable, homogeneous, exact, linear differential equation, Bernoullis equation.
Text Books:
Engineering Mathematics-II, a textbook for third semester diploma courses, prepared & prescribed by SBTET, AP.
Reference Books:
- B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers.
- Schaums Outlines Differential Equations, Richard Bronson & Gabriel B. Costa
- 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 3rd Sem subject syllabuses for C20 regulation.
For all Diploma in Civil Engineering exam timetable, visit APSBTET DCE all semester exam timetable direct link.