The syllabus of Bachelor of Technology (Civil Engineering) Program offered by Kurukshetra University, Kurukshetra is as follows:
AS-201 N MATHEMATICS-III
UNIT I
Fourier Series :Eulers Formulae, Conditions for Fourier expansions, Fourier expansion of functionshaving points of
discontinuity, change of interval, Odd & even functions,Half-range series.
Fourier Transforms : Fourier integrals, Fourier transforms, Fourier cosine and sine transforms.
Properties of Fourier transforms, Convolution theorem, Persevals identity, Relation between Fourierand Laplace
transforms, Fourier transforms of the derivatives of a function, Application to boundaryvalue problems.
UNIT-II
Functions of a Complex Variables : Functions of a complex variable, Exponential function, Trigonometric, Hyperbolic
and Logarithmic functions, limit and continuity of afunction, Differentiability and analyticity.
Cauchy-Riemann equations, Necessary and sufficient conditions for a function to be analytic, Polar form
of the Cauchy-Riemann equations, Harmonic functions, Application toflow problems, Conformal transformation,
Standard transformations (Translation, Magnification &rotation, inversion & reflection, Bilinear).
UNIT-III
Probability Distributions : Probability, Bayes theorem, Discrete & Continuous probabilitydistributions, Moment
generating function, Probability generating function, Properties and applicationsof Binomial, Poisson and normal
distributions.
UNIT-IV
Linear Programming : Linear programming problems formulation, Solution of Linear ProgrammingProblem using
Graphical method, Simplex Method, Dual-Simplex Method.
Paper Setters Note: 8 questions of 15 marks each distributed in four sections are to be set taking two from each unit. The
candidate is required to attempt five questions in all, taking at least one from each of the four sections.
Text Book
1. Higher Engg.Mathematics : B.S. Grewal
2. Advanced Engg.Mathematics : E. Kreyzig
Reference Book
1. Complex variables and Applications : R.V. Churchil; Mc. Graw Hill
2. Engg. Mathematics Vol. II: S.S. Sastry; Prentice Hall of India.
3. Operation Research : H.A. Taha.
4. Probability and Statistics for Engineer : Johnson. PHI.
Syllabus Bachelor of Technology (Civil Engineering) Kurukshetra University, Kurukshetra 
