Engineering Mathematics

  1. Introduction to Engineering Mathematics
  2. Vectors
  3. Algebric operations on vectors
  4. Triple Product
  5. Dependent Vectors
  6. Orthogonal & Orthonormal Vectors
  7. Matrices
  8. Gaussian Elimination
  9. Echelon Form of a Matrix
  10. Rank of a matrix by Echelon form
  11. Rank of a matrix using Normal Form
  12. Invertible Matrices
  13. Invertible Matrices-2
  14. Inverse of a matrix using Gauss-Jordan method
  15. Homogeneous and non-homogeneous linear systems
  1. Matrix Eigenvalues
  2. Finding Eigenvalues and Eigenvectors
  3. Cayley-Hamilton Theorem
  4. Cayley-Hamilton Theorem-2
  5. Gram Schmidt method
  6. Gram Schmidt method-2
  7. Diagonalization
  8. Matrix Decomposition
  1. Sequence
  2. Convergence & Divergence
  3. Series
  4. Numerical Series
  5. Tests for Convergence and Divergence
  6. D’Alembert’s Ratio Test
  7. Raabe’s Test
  8. Cauchy’s Integral test
  9. Cauchy’s root test
  10. Logarithmic Test
  11. Alternating series test
  1. Mean Value Theorems-Short questions
  2. Mean Value Theorems-Long questions
  3. Applications of definite integrals-Long Questions
  4. Improper Integral-Long questions
  1. Short Answer Questions
  2. Long Answer Questions-1
  3. Long Answer Questions-2

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