🎓 M1 Notes Pdf 🕮 | Engineering Mathematics 1 VTU free lecture notes

Here you can download the Engineering Mathematics 1 VTU Notes PDF – M1 Notes of as per VTU Syllabus. Below we have list all the links as per the modules.

Engineering Mathematics 1 VTU Notes PDF – M1 Notes of Total Units

Please find the download links of Engineering Mathematics 1 VTU Notes PDF – M1 Notes

Link: Complete Notes

——————————————-

M1 Notes VTU – Engineering Mathematics 1 VTU Notes – VTU M1 Notes

Module –1

Differential Calculus -1: Determination of nth order derivatives of Standard functions – Problems. Leibnitz‟s theorem (without proof) – problems. Polar Curves – angle between the radius vector and tangent, angle between two curves, Pedal equation for polar curves. Derivative of arc length – Cartesian, Parametric and Polar forms (without proof) – problems. Curvature and Radius of Curvature – Cartesian, Parametric, Polar and Pedal forms(without proof) and problems.

Link:Module-1 

——————————————-

Module –2

Differential Calculus -2 Taylor‟s and Maclaurin‟s theorems for function of o ne variable(statement only)- problems. Evaluation of Indeterminate forms. Partial derivatives – Definition and simple problems, Euler‟s theorem(without proof) – problems, total derivatives, partial differentiation of composite functions-problems, Jacobians-definition and problems.

Link:Module-2 

——————————————-

Module –3

Vector Calculus: Derivative of vector valued functions, Velocity, Acceleration and related problems, Scalar and Vector point functions.Definition Gradient, Divergence, Curl- problems . Solenoidal and Irrotational vector fields. Vector identities – div ( F A), curl ( F A),curl (grad F ), div (curl A). 10hrs.

Link:Module-3 

——————————————-

Module- 4

Integral Calculus: Reduction formulae ∫ sinnx dx ∫cosnx dx ∫sinnxcosmxdx,, (m and n are positive integers), evaluation of these integrals with standard limits (0 to л/2) and problems. Differential Equations: Solution of first order and first degree differential equations – Exact, reducible to exact and Bernoulli‟s differential equations. Applications- orthogonal trajectories in Cartesian and polar forms. Simple problems on Newton‟s law of cooling.

Link:Module-4 

——————————————-

Module –5

Linear Algebra Rank of a matrix by elementary transformations, solution of system of linear equations – Gauss- elimination method, Gauss- Jordan method and Gauss-Seidel method. Rayleigh‟s power method to find the largest Eigen value and the corresponding Eigen vector. Linear transformation, diagonalization of a square matrix, Quadratic forms, reduction to Canonical form.

Link:Module-5 

 

 

Introduction, Switching and Logic Levels. Digital Waveform. Number Systems: Decimal Number System, Binary Number System, Converting Decimal to Binary, Hexadecimal Number System: Converting Binary to Hexadecimal, Hexadecimal to Binary, Converting Hexadecimal to Decimal, Converting Decimal to Hexadecimal, Octal Numbers: Binary to Octal Conversion. Complement of Binary Numbers . Boolean Algebra Theorems, De Morgan’s theorem.
Digital Circuits: Logic gates, NOT Gate, AND Gate, OR Gate, XOR Gate, NAND Gate, NOR Gate, X-NOR Gate. Boolean Relation, Algebraic Simplification NAND and NOR Implementation: NAND Implementation, NOR Implementation. Half adder, Full adder.

 

 

Linear Algebra Rank of a matrix by elementary transformations, solution of system of linear equations – Gauss- elimination method, Gauss- Jordan method and Gauss-Seidel method. Rayleigh’s power method to find the largest Eigen value and the corresponding Eigen vector. Linear transformation, diagonalization of a square matrix, Quadratic forms, reduction to Canonical form.

Please find the download links of Engineering Mathematics 1 VTU Notes PDF – M1 Notes