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Related lectures (32)
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Complex Numbers: Polar Form
Showcases examples of complex numbers in polar form and their operations.
Continuity of Trigonometric Functions
Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.
Mathematical Functions and Limits
Covers mathematical functions, limits, and their applications.
Cyclic Groups: Structure and Applications
Explores cyclic groups, generators, isomorphisms, and the discrete logarithm problem in depth, highlighting their importance and applications.
Modular Arithmetic: Exponentiation Optimization
Explores optimizing exponentiation in modular arithmetic for efficient calculations and prime number determination.
Problems and Languages: Regular Languages
Covers regular languages, encoding, alphabets, words, languages, concatenation, exponentiation, and iterative closure.
Setting up arithmetic
Explores defining arithmetic operations through counting, with insights on cardinal numbers, Cantor's work, and Sudoku.
Trigonometric Equations: Tangent and Cotangent
Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.
Exponential Functions: Properties and Logarithms
Covers the properties of exponential and logarithmic functions.
Complex numbers: operations and convergence
Covers operations with complex numbers and convergence of functions as x approaches 0.