Mathematics II Notes

This chapter includes notes on Orthonormality, Unitary and Hermitian Matrices, Quadratic Forms and Fourier Series. Each section has multiple worked examples. Notes were taken on an iPad.

This chapter includes notes on the basics of Linear Algebra, Matrices, Eigen Vectors & Eigen Values, Diagonalisation and the Characteristic Polynomial.

This chapter includes notes on Convergence of a Series and testing for convergence. Includes many worked examples. Notes were taken on an iPad.

This chapter includes notes on Complex Numbers, Mod-Arg Notation, Complex Exponentials and Euler's formula. Each section includes multiple worked examples. Notes were taken on an iPad.

This chapter includes notes on Fourier Transforms and solving Boundary Values Problems using Fourier Transforms. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Special Functions: Unit Step Function, Unit Impulse Function, Periodic Functions, Gamma Functions & Beta Functions and using Laplace Transforms on them. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Laplace Transforms, Inverse Laplace Transforms and solving Differential Equations using Laplace. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Line Integration, Path Integral in Vector Fields, Double and Repeated Integrals, Volume between Two Surfaces and Green's Theorem. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Quadric Surfaces, Directional Derivatives, Potential Functions, and Stationary Points. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Vector Differentiation, Curvature, Torsion and Trajectories. Each section includes multiple worked examples. Notes were taken on an iPad