Physicsium

Core Topics

• Calculus & Expansion: Single/Multiple variables, Partial derivatives, Jacobian, Imperfect/Perfect differentials, Taylor expansion.
• Vector Analysis: Vector algebra, Vector Calculus, Gradient, Divergence, Curl.
• Integral Theorems: Multiple integrals, Divergence theorem, Green’s theorem, Stokes’ theorem.
• Differential Equations: First order equations, Linear second-order differential equations with constant coefficients.
• Linear Algebra: Matrices and determinants, Eigenvalues & Eigenvectors.
• Complex Analysis: Complex numbers, Algebra of complex numbers.
• Series: Fourier series.
• Error Analysis: Significant digits, Rounding, Types of errors, Mean, Median, Standard deviation.