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Lecture
Integral Calculus: Fundamental Theorem
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Integration: Simple Elements
Covers the integration of simple elements using various techniques to solve integration problems.
Linear Combinations and Vector Spaces
Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Homogeneous Differential Equations
Explores solving homogeneous differential equations using polynomials to find solutions step by step.
Complex Roots and Polynomials
Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Polynomial Applications: Combinatorial Computations
Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.
Digital Derivation: Evaluation and Formulas
Explores digital derivation, function evaluation, and polynomial approximations for accurate measurements and evaluations.
Applications of Residue Theorem in Complex Analysis
Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.
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Integration by Recurrence
Explores integration by recurrence method with examples of square roots and polynomials.
Chapter 7: Integral Search for Primitive
Explores primitive functions, their relationship, and techniques for calculating indefinite integrals.