Week 3: Solutions of Linear Systems: Existence, Uniqueness, Determinants. Cramer’s Rule
Course Material
- Week 1: Matrices, Vectors: Addition, Scalar Multiplication and Matrix Multiplication
- Week 2: Linear Systems of Equations. Gauss Elimination. Rank of a Matrix
- Week 3: Solutions of Linear Systems: Existence, Uniqueness, Determinants. Cramer’s Rule
- Week 4: Inverse of a Matrix. Gauss–Jordan Elimination
- Week 5: Eigen values and Eigen vectors
- Week 6: Vectors in 2-Space and 3-Space, Inner Product (Dot Product), Vector Product (Cross Product)
- Week 7: Gradient of a Scalar Field. Directional Derivative
- Week 8: Divergence of a Vector Field, Curl of a Vector Field
- Week 9: Mid Term Exam
- Week 10: Line Integrals
- Week 11: Double Integrals
- Week 12: Basic Concepts of PDEs
- Week 13: Wave Equation, Solution by Fourier Series
- Week 14: Heat Equation: Solution by Fourier Series.
- Week 15: Laplace's equation, Poisson equation and their solution by using Fourier series
- Week 16: Wave equation, Heat equation and their solution by using Laplace transform
- Week 17: Laplace's equation, Poisson equation and their solution by Laplace transform
- Week 18: Final Term Exam
- Chapters 18
- Department Mechanical Engineering
- Teacher
Iqrar Ansari
