Hello B.Tech Students,
Mathematics is an integral part of the B.Tech curriculum, providing a foundation for the principles and techniques used in various engineering disciplines. The subject covers a wide range of topics such as calculus, differential equations, linear algebra, probability, and statistics. Mathematics plays a significant role in engineering problem-solving, optimization, and modeling. It enables students to understand complex concepts and to develop mathematical models that are used to analyze real-world problems. In addition, mathematics is a crucial tool in various fields such as computer science, economics, and physics. A strong grasp of mathematics is essential for B.Tech students to succeed in their academic and professional pursuits.
I am sharing Mathematics-2 question bank with answers and solutions in Q&A format for engineering/BTech first year. This is available as a PDF file for free download below.
List of topics covered in Mathematics-2 question bank with solutions (Q&A) for engineering/BTech first year:
Mathematics is an integral part of the B.Tech curriculum, providing a foundation for the principles and techniques used in various engineering disciplines. The subject covers a wide range of topics such as calculus, differential equations, linear algebra, probability, and statistics. Mathematics plays a significant role in engineering problem-solving, optimization, and modeling. It enables students to understand complex concepts and to develop mathematical models that are used to analyze real-world problems. In addition, mathematics is a crucial tool in various fields such as computer science, economics, and physics. A strong grasp of mathematics is essential for B.Tech students to succeed in their academic and professional pursuits.
I am sharing Mathematics-2 question bank with answers and solutions in Q&A format for engineering/BTech first year. This is available as a PDF file for free download below.
List of topics covered in Mathematics-2 question bank with solutions (Q&A) for engineering/BTech first year:
- Unit I - Ordinary Differential Equation of Higher Order: Linear differential equation of nth order with constant coefficients, Simultaneous linear differential equations, Second order linear differential equations with variable coefficients, Solution by changing independent variable, Reduction of order, Normal form, Method of variation of parameters, Cauchy-Euler equation.
- Unit II - Multivariable Calculus-II: Introduction of Improper integrals, Beta & Gama function and their properties, Dirichlet’s integral and its applications, Application of definite integrals to evaluate surface areas and volume of revolutions.
- Unit III - Sequences and Series: Definition of Sequence and series with examples, Convergence of sequence and series, Tests for convergence of series, (Ratio test, D’ Alembert’s test, Raabe’s test). Fourier series, Half range Fourier sine and cosine series.
- Unit IV - Complex Variable–Differentiation: Limit, Continuity and differentiability, Functions of complex variable, Analytic functions, Cauchy- Riemann equations (Cartesian and Polar form), Harmonic function, Method to find Analytic functions, Conformal mapping, Mobius transformation and their properties.
- Unit V - Complex Variable –Integration: Complex integrals, Contour integrals, Cauchy- Integral theorem, Cauchy integral formula, Taylor’s and Laurent’s series (without proof), Singularities, Classification of Singularities, zeros of analytic functions, Residues, Methods of finding residues, Cauchy Residue theorem, Evaluation of real integrals of the types