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Lecture
Mathematics: Analysis and Algebra Overview
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Related lectures (25)
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Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Mathematical Analysis: Functions and Composition
Covers the analysis of functions, composition, and mathematical induction.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Real Functions: Graphs and Properties
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Transforms of the Place
Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.
Taylor Polynomials: Calculating Limits and Derivatives
Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.
Real Functions: Definitions and Properties
Explores real functions, covering parity, periodicity, and polynomial functions.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.
Polynomials: Definitions and Operations
Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.