22MATS11
VTU
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Class notes
Modular Arithmetic
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---28April 20252022/2023
- This document provides a comprehensive introduction to modular arithmetic, a fundamental concept in number theory and discrete mathematics. It covers topics such as congruence relations, residue classes, and methods for solving modular equations, with detailed explanations and examples to strengthen conceptual understanding.
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$8.99 More Info
mdammarlam18
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Class notes
Ordinary Differential Equations and Exact Equations
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---49April 20252022/2023
- This document covers various topics in ordinary differential equations, focusing on first-order equations. It includes sections on linear and Bernoulli's differential equations, exact and reducible to exact equations, orthogonal trajectories, and applications in electrical circuits. The material provides detailed explanations of solution methods for different equation types, including linear, Bernoulli, and Clairaut's equations. It also discusses non-linear differential equations and prese...
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mdammarlam18
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Class notes
Series Expansion and Multivariable Calculus
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---39April 20252022/2023
- This module covers essential topics in Series Expansion and Multivariable Calculus for B.Tech 1st-year Mathematics. It includes Taylor’s and Maclaurin’s series for single-variable functions, series expansions of standard functions, evaluation of indeterminate forms using L'Hospital's Rule, and limit problems. The module further explores multivariable calculus topics such as partial differentiation, higher-order derivatives, total differentiation, and their applications. Detailed deriva...
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$8.99 More Info
mdammarlam18