Engineering Mathematics - I 1.2

Engineering Mathematics-I offers comprehensive notes, quizzes, blogs, and videos covering essential topics chapter-wise:

1. Chapter 1 - Differential Calculus

   1. Expansion of functions using Maclaurin's and Taylor's theorems
   2. Partial differentiation
   3. Euler's theorem with applications in approximation and errors
   4. Maxima and Minima of functions with two variables
   5. Radius of curvature and center of curvature

2. Chapter 2 - Integral Calculus

   1. Definite Integrals as a limit of a sum
   2. Beta and Gamma Functions
   3. Double integrals
   4. Triple integrals
   5. Change of Order of Integration
   6. Area, Volume, and Surfaces using double and triple integrals

3. Chapter 3 - Differential Equations

   Solution of Ordinary Differential Equations of the first order and first degree for Exact differential Equations
   1. Exact differential equations
   2. Linear Differential Equations with Constant Coefficients
   3. Cauchy's Homogeneous Differential Equation
   4. Simultaneous Differential Equations
   5. Method of Variation of Parameters

4. Chapter 4 - Matrices

   1. Matrices Rank
   2. Matrix Determinants
   3. Matrix Inverse
   4. Solution of Simultaneous Equations by Elementary Transformation
   5. Matrices Transformation
   6. Consistency of System of Simultaneous Linear Equations
   7. Eigen Values and Eigen Vectors
      • Cayley-Hamilton Theorem and its Application to find the inverse.
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   Chapter 5 - Algebra And Graph Theory.

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