MAT101 Linear Algebra And Calculus Notes with Textbook PDF is one of the biggest challenges for the students appearing for the KTU examinations. The package comes with Study materials like textbooks, notes, schemes, question papers and different sets of sample papers. keralanotes.com provide detailed module wise Notes, syllabus, question papers and a Textbook for MAT101 Linear Algebra And Calculus ( LAC ) for free based on the latest 2019 scheme. this note will help the S1 Fist year KTU Students of all branches for their upcoming examinations.
| Board | KTU |
| Scheme | 2019 New Scheme |
| Year | First Year |
| Semester | S1 & S2 |
| Subject | MAT 101 | Linear Algebra And Calculus Notes |
| Credit | 4 Credit |
| Category | KTU S1 & S2 |
KTU S1 Linear Algebra And Calculus | MAT 101 | Notes (2019 Scheme)
Module 1
Module 1 - Syllabus
Linear Algebra
Systems of linear equations, Solution by Gauss elimination, row echelon form and rank of a matrix, fundamental theorem for linear systems (homogeneous and non-homogeneous, without proof), Eigenvalues and eigenvectors. Diagonalization of matrices, orthogonal transformation, quadratic forms and their canonical forms.
Module 1 - Notes
Module 1 Linear Algebra And Calculus | MAT 101 PDF Notes
Module 2
Module 2 - Syllabus
Multivariable Calculus-Differentiation
Concept of limit and continuity of functions of two variables, partial derivatives, chain rule, total derivative, Relative maxima and minima, Absolute maxima and minima on closed and bounded set.
Module 2 - Notes
Module 2 Linear Algebra And Calculus | MAT 101 PDF Notes
Module 3
Module 3 - Syllabus
Multivariable Calculus-Integration
Double integrals (Cartesian), reversing the order of integration, Change of coordinates (Cartesian to polar), finding areas and volume using double integrals, mass and centre of gravity of inhomogeneous laminas using double integral. Triple integrals, volume calculated as triple integral, triple integral in cylindrical and spherical coordinates (computations involving spheres, cylinders).
Module 3 - Notes
Module 3 Linear Algebra And Calculus (LAC)| MAT 101 PDF Notes
Module 4
Module 4 - Syllabus
Sequences and Series
Convergence of sequences and series, the convergence of geometric series and p-series(without proof), a test of convergence (comparison, ratio and root tests without proof); Alternating series and Leibnitz test, absolute and conditional convergence.
Module 4 - Notes
Module 3 Linear Algebra And Calculus | MAT 101 PDF Notes
Module 5
Module 5 - Syllabus
Series Representation of Functions
Taylor series (without proof, assuming the possibility of power series expansion inappropriate domains), Binomial series and series representation of exponential, trigonometric, logarithmic functions (without proofs of convergence); Fourier series, Euler formulas, Convergence of Fourier series (without proof), half range sine and cosine series, Parseval’s theorem (without proof).
Module 5 - Notes
Module 5 Linear Algebra And Calculus | MAT 101 PDF Notes
KTU S1 & S2 Related Links
| KTU S1 & S2 Study Materials | Click Here |
| KTU S1 & S2 Study Notes | Click Here |
| KTU S1 & S2 Syllabus | Click Here |
| KTU S1 & S2 Reference Textbook | Click Here |
| KTU S1 & S2 Previous Year Solved Question Papers | Click Here |
Other Related Links
| PHT 100 - Engineering Physics A | Click Here |
| PHT 110 - Engineering Physics B | Click Here |
| MAT 101 - Linear Algebra and Calculus | Click Here |
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| EST 120 - Basics of Civil Engineering | Click Here |
| EST 120 - Basics of Mechanical Engineering | Click Here |
| HUT 101 - Life Skills | Click Here |
| CYT 100 - Engineering Chemistry | Click Here |
| EST 110 - Engineering Graphics | Click Here |
| MAT 102 - Vector Calculus, Differential Equations and Transforms | Click Here |
| EST 102 - Programming in C | Click Here |
| EST 130 - Basics of Electrical Engineering | Click Here |
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| HUT 102 - Professional Communication | Click Here |
