Hello B.Tech second year students,
Mathematics-3 is a second-year B.Tech course offered by AKTU. The subject is a continuation of Mathematics-1 and Mathematics-2 and builds upon the knowledge acquired in those courses. Mathematics-3 covers various topics such as ordinary differential equations, partial differential equations, Laplace transforms, Fourier series, and their applications in engineering and technology. Through this course, students gain a deep understanding of mathematical concepts and their practical applications in engineering. They also learn how to use mathematical tools to model and analyze real-world problems and make informed decisions based on mathematical analysis. Overall, Mathematics-3 plays a crucial role in the development of analytical and problem-solving skills of students and provides them with a strong foundation for further studies in engineering and related fields.
I am sharing Mathematics-3 question bank with answers and solutions in Q&A format for engineering/BTech second year. This is available as a PDF file for free download below.
List of topics covered in Mathematics-3 question bank with solutions (Q&A) for engineering/BTech second year:
Unit 1: Complex Analysis
Unit 3: Probability and Statistics
Mathematics-3 is a second-year B.Tech course offered by AKTU. The subject is a continuation of Mathematics-1 and Mathematics-2 and builds upon the knowledge acquired in those courses. Mathematics-3 covers various topics such as ordinary differential equations, partial differential equations, Laplace transforms, Fourier series, and their applications in engineering and technology. Through this course, students gain a deep understanding of mathematical concepts and their practical applications in engineering. They also learn how to use mathematical tools to model and analyze real-world problems and make informed decisions based on mathematical analysis. Overall, Mathematics-3 plays a crucial role in the development of analytical and problem-solving skills of students and provides them with a strong foundation for further studies in engineering and related fields.
I am sharing Mathematics-3 question bank with answers and solutions in Q&A format for engineering/BTech second year. This is available as a PDF file for free download below.
List of topics covered in Mathematics-3 question bank with solutions (Q&A) for engineering/BTech second year:
Unit 1: Complex Analysis
- Introduction to Complex Numbers
- Cartesian and Polar Form of a Complex Number
- Analytic Functions
- Cauchy-Riemann Equations
- Harmonic Functions
- Vector Spaces
- Basis and Dimension
- Eigenvalues and Eigenvectors
- Cayley-Hamilton Theorem
- Partial Differential Equations
- Separation of Variables
Unit 3: Probability and Statistics
- Probability Spaces
- Conditional Probability and Bayes Theorem
- Random Variables and Probability Distributions
- Expectation and Moments
- Central Limit Theorem
- Numerical Solution of Algebraic and Transcendental Equations
- Interpolation and Approximation
- Numerical Differentiation and Integration
- Solution of Ordinary Differential Equations
- Fourier Series
- Fourier Transform
- Laplace Transform
- Z-Transform