AKTU B.Tech. AAS203H Calculus and Linear Algebra Solved Question Bank

This EduQuest solved question bank supports exam preparation for Dr. A.P.J. Abdul Kalam Technical University (AKTU) B.Tech. First Year, AG Stream (Agricultural Engineering). It follows the official syllabus of Calculus and Linear Algebra (course code AAS203H) unit by unit.

What is included

• Quick revision sheet of key formulae at the start of every unit.
• 12 short answer questions (2 marks) per unit with exam-ready answers.
• 12 long answer questions (7 marks) per unit with complete step-by-step solutions, diagrams and numericals.
• MOST IMPORTANT and IMPORTANT tags with a summary list for each unit.
• Two AKTU-format model question papers, each followed by complete solutions.

Unit-wise syllabus coverage

1. Unit 1 – Functions of Complex Variable: Limit, continuity & differentiability, Analytic function & Cauchy–Riemann equations (Cartesian form), Harmonic function, Conjugate function, Milne–Thomson method for finding analytic function.
2. Unit 2 – Vector Calculus: Vector differentiation, Scalar and vector point functions, vector differential operator Del, gradient of a scalar function, normal and directional derivative, divergence and curl of a vector function and their physical interpretation. Line, Surface and Volume integral with illustrative examples, Statements of Green’s, Stokes’ and Gauss’s divergence theorem only.
3. Unit 3 – Matrices: Definition and types of matrices, Elementary transformations, Rank of a matrix, Reduction to normal form and triangular form, Inverse of a matrix, Consistency and solution of linear equations, Eigen values, Eigen vectors, Cayley–Hamilton theorem (without proof).
4. Unit 4 – Fourier Series and Partial Differential Equation: Periodic functions, Fourier series and Dirichlet’s conditions, Fourier series of period 2π, Even and odd function, Half range series, Fourier series of functions having arbitrary period (period 2c), Half range series (with period c), Introduction & formation of partial differential equation, solution of Linear partial differential equation with constant coefficients.
5. Unit 5 – Application of Partial Differential Equation: Introduction, Method of separation of variables, problems on One dimensional wave equation, one dimensional heat equation and two-dimensional steady state heat flow equation.

Course details

• University: Dr. A.P.J. Abdul Kalam Technical University (AKTU), Lucknow
• Programme: B.Tech. First Year, Semester II
• Subject: Calculus and Linear Algebra
• Course code: AAS203H
• Stream: AG Stream
• Credits: 4
• PDF length: 89 pages
• Format: PDF

Use this question bank along with the official syllabus, your class notes and the prescribed text books.

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