# MAT101 Linear Algebra And Calculus KTU Notes S1 2019 Scheme

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)

These notes will help you to revise and consolidate all the concepts from the basic level to the higher level. All the chapters are given as textbook reading notes, revision notes and MCQs based on various question papers. These Notes are written as per the KTU Syllabus 2019 Scheme.

### 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 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 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 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 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

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