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Applications of Residue Theorem in Complex Analysis
Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Waves in Fluids: Basic Properties and Equations
Covers the properties of waves in fluids, focusing on surface waves and their mathematical representation.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Linear Combinations and Vector Spaces
Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Plasma Waves: Two-Fluid Model
Explores plasma waves described by the two-fluid model and the behavior of Langmuir waves.
Fluids and Electromagnetism
Explores Poiseuille flow, Navier-Stokes equation neglect, wave characteristics, and complex notation in fluid dynamics and wave phenomena.