22MATS11

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Modular Arithmetic
  • Class notes

    Modular Arithmetic

  • 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.
  • mdammarlam18
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Ordinary Differential Equations and Exact Equations
  • Class notes

    Ordinary Differential Equations and Exact Equations

  • 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...
  • mdammarlam18
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Series Expansion and Multivariable Calculus
  • Class notes

    Series Expansion and Multivariable Calculus

  • 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...
  • mdammarlam18
    $8.99 More Info
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