# GITAM University Syllabus B Tech 1st Sem Engineering Mathematics I

# GITAM University Syllabus

# Engineering Mathematics I

**B.Tech. (CE) I SEMESTER**

**ENGINEERING MATHEMATICS – I**

**Code: EURMT102 Category: MT**

**Credits: 4 Hours: 4 per week**

**Department: BSH**

*The objective of the course is to impart knowledge in Basic concepts of Mathematics relevant to
Engineering applications.
Unit – I.
Linear Differential Equations of Higher order (12 hours)
Definition, Complete solution, Operator D, Rules for finding complementary function, Inverse operator D,
Rules for finding particular integral, Method of variation of parameters.
Unit-II
Equations reducible to Linear Differential Equations and Applications (08 hours)
Cauchy’s and Legendre’s linear equations, Simultaneous linear equations with constant
coefficients and applications of linear differential equations to Oscillatory Electrical
circuits LC and LCR Circuits, Electromechanical Analogy.
Unit –III
Multiple Integrals and its Applications : (08 hours)
Double integrals, Change of order of integration, Double integrals in Polar coordinates, Areas enclosed by
plane curves, Triple integrals, Volume of solids, Change of variables, Area of a curved surface.
Unit –IV
Special Functions and its Applications: (08 hours)
Beta function, Gamma function, Relation between Beta and Gamma functions, Dirichlet integrals of type I
and type II.
Unit-V
Infinite Series (12 hours)
Definitions of convergence, divergence and oscillation of a series, General properties of series, Series of
positive terms, Comparison tests, Integral test, D’ Alembert’s Ratio test, Raabe’s test, Cauchy’s root test,
Alternating series, Leibnitz’s rule, Power series, Convergence of exponential, Logarithmic and binomial
series (without proofs).
Text Prescribed :
Higher Engineering Mathematics, Dr.B.S Grewal. Khanna Publishers.
References :
Advanced Engineering Mathematics, Erwin Kreyszig. Wiley Eastern Pvt. Ltd.
Textbook of Engineering Mathematics, N.P.Bali. Laxmi Publications (P) Ltd.
Higher Engineering Mathematics, Dr.M.K.Venkata Raman. National Pub. Co.
Note: The figures in parentheses indicate approximate number of expected hours of instruction.*