AKTU B.Tech. AAS103H Calculus and Statistical Techniques 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 Statistical Techniques (course code AAS103H) 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.
• AKTU-format model question papers with complete solutions.

Unit-wise syllabus coverage

1. Unit 1 – Statistical Technique: Introduction, Measures of central tendency: mean, median and mode, Mean deviation, Standard deviation, definition of Skewness, Karl Pearson’s coefficient of skewness. Principle of Least square, curve fitting of straight line, parabola, by least square method.
2. Unit 2 – Calculus I: Definition of limit, continuity and differentiability. Derivatives of some standard functions, Derivatives of sum and difference, Derivatives of product and quotient of functions, Derivatives of composite functions and chain rule, Logarithmic differentiation, Parametric differentiation.
3. Unit 3 – Calculus II: Taylor’s and Maclaurin’s series for one variable (without proof), Indeterminate forms, partial differentiation and Euler’s theorem of homogeneous functions, Total differentiation and Change of variables, Maxima and minima (simple problems of one variable only).
4. Unit 4 – Elementary Integration: Introduction, Integration of some standard functions, Integration by substitution, Integration by parts, Integration by partial fraction.
5. Unit 5 – Ordinary Differential Equations: Exact differential equations, Equations reducible to exact form, Bernoulli’s differential equations. Linear differential equations of higher orders with constant coefficients, Complementary functions, Particular integrals. General method for finding particular integral.

Course details

• University: Dr. A.P.J. Abdul Kalam Technical University (AKTU), Lucknow
• Programme: B.Tech. First Year
• Subject: Calculus and Statistical Techniques
• Course code: AAS103H
• Stream: AG Stream (Agricultural Engineering)
• Credits: 4
• PDF length: 78 pages
• Format: PDF

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

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