Science

CHEMISTRY

• What is amu?
• Concept of Mole: From Atomic Scale to Large Scale
  
• Quantifying Compounds in Bulk
• Characterizing Solutions
  
• Summary (Quantitative Chemistry)
• Example Problems (Quantitative Chemistry)

UNCERTAINTY AND SIGNIFICANT FIGURES
(For AS & A Levels and undergraduates)

• A Levels: Things to keep in mind when drawing graphs
• Measurement and Significant Figures
• Rules for Significant Figures and Rounding
• Combining Uncertainties I: Propagation of Errors
• Combining Uncertainties II: Application

CLASSICAL MECHANICS

• Concept of center of mass: Discrete mass distribution
• Buoyancy and the Archimedes' Principle

ELECTRONICS

• The DC Load Line Method
• Phenomenological explanation for Kirchhoff's voltage law and constant current in a series circuit

ELECTROSTATICS
A Contextualized Course in Electrostatics(Under construction)

• Electric Field
• Concept of Electric Field Lines
• Gauss' law of electrostatics
• Proof of \(\oint \vec{E}(\vec{r}) \cdot \vec{dA}=Q/\epsilon_{0}\) when the charge is not at the center of the sphere
• Dielectric in an electric field
• A brief tangent: Piezoelectric Dielectrics
• Concept of Electric Displacement (Coming soon)

CONDENSED MATTER PHYSICS

• XRD: Structure Factor
• θ-2θ and ω-2θ X-ray Diffraction Profiles
• Calculation of XRD pattern of h-LFO using python
• RHEED: Electron diffraction from a finite 2D lattice
• Artifacts in Atomic Force Microscope (AFM)
• Absence of Hanle effect in Organic Semiconductors
• Direct Exchange Interaction in Heitler-London Model

MATHEMATICAL METHODS

The method of index notation
• Einstein's summation convention
• Levi-Civita symbol, cross-products and determinants
• Using the method of index notation

Miscellaneous
• Simple applications of differentiation under integral sign
• General expressions for gradient, divergence, curl and laplacian in 3D