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