AKTU · EE / ELCE · Semester 1

Engineering Mathematics 1

BAS103

Notes1

Engineering Mathematics I & II — Complete Notes

Part A (Maths I): differential calculus, Leibnitz and Taylor, partial differentiation, Jacobians, matrices and eigenvalues, beta/gamma functions, multiple integrals, vector calculus. Part B (Maths II): differential equations, Laplace transforms, Fourier series and complex analysis. Worked examples throughout.

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End Sem March 2023 Question Paper

AKTU end-semester examination, March 2023. Course code AS101 / BAS103 / EAS103 / NAS103 / RAS103.

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Syllabus — Engineering Mathematics 1 (BAS103)

Official AKTU syllabus, unit-wise, from the 2022-23 common first year (BAS / BCS / BEE / BEC / BME). Source: https://aktu.ac.in/pdf/syllabus/syllabus2223/Syllabus_BTech_First_Yr_Common_other_than_AG_%26_BT_effective_from_2022_23_R.pdf

Unit I

Matrices: Elementary transformations, Inverse of a matrix, Rank of matrix, Solution of system of linear equations, Characteristic equation, Cayley-Hamilton Theorem and its application, Linear Dependence and Independence of vectors, Eigen values and Eigen vectors, Complex Matrices, Hermitian, Skew-Hermitian and Unitary Matrices, Applications to Engineering problems.

Unit II

Differential Calculus- I: Successive Differentiation (nth order derivatives), Leibnitz theorem, Curve tracing, Partial derivatives, Euler’s Theorem for homogeneous functions, Total derivative, Change of variables.

Unit III

Differential Calculus-II: Expansion of functions by Taylor’s and Maclaurin’s theorems for functions of one and two variables, Maxima and Minima of functions of several variables, Lagrange’s method of multipliers, Jacobians, Approximation of errors.

Unit IV

Multiple integration: Double integral, Triple integral, Change oforder of integration, Change of variables, Beta and Gama function and their properties, Dirichlet’s integral and its applications to area and volume, Liouville’s extensions of Dirichlet’s integral.

Unit V

Vector Calculus: Vector differentiation: Gradient, Curl and Divergence and their Physical interpretation, Directional derivatives. Vector Integration: Line integral, Surface integral, Volume integral, Gauss’s Divergence theorem, Green’s theorem and Stoke’s theorem (without proof) and their applications.

Engineering Mathematics 1

Notes1

Engineering Mathematics I & II — Complete Notes

Previous Year Paper12

End Sem March 2023 Question Paper

Notes1

Engineering Mathematics I & II — Complete Notes

Previous Year Paper12

End Sem March 2023 Question Paper

End Sem 2017 Question Paper

End Sem 2016 Question Paper

End Sem 2015 Question Paper

End Sem 2013 Question Paper

End Sem 2012 Question Paper

End Sem March 2025 Question Paper

End Sem March 2024 Question Paper

End Sem 2023 Question Paper

End Sem 2022 Question Paper

End Sem 2020 Question Paper

End Sem 2019 Question Paper

Syllabus1

Syllabus — Engineering Mathematics 1 (BAS103)

Unit I

Unit II

Unit III

Unit IV

Unit V

📘Notes1

Engineering Mathematics I & II — Complete Notes

📝Previous Year Paper12

End Sem March 2023 Question Paper

📘Notes1

Engineering Mathematics I & II — Complete Notes

📝Previous Year Paper12

End Sem March 2023 Question Paper

End Sem 2017 Question Paper

End Sem 2016 Question Paper

End Sem 2015 Question Paper

End Sem 2013 Question Paper

End Sem 2012 Question Paper

End Sem March 2025 Question Paper

End Sem March 2024 Question Paper

End Sem 2023 Question Paper

End Sem 2022 Question Paper

End Sem 2020 Question Paper

End Sem 2019 Question Paper

📋Syllabus1

Syllabus — Engineering Mathematics 1 (BAS103)

Unit I

Unit II

Unit III

Unit IV

Unit V

Notes1

Previous Year Paper12

Notes1

Previous Year Paper12

Syllabus1