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Lecture
Exponential Functions and Logarithms
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Related lectures (31)
Harmonic Oscillations: Graphs
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.
Trigonometric Functions: Tangent and Cotangent
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.
Logarithmic Functions: Properties and Applications
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the properties and applications of natural logarithmic functions, including area invariance and harmonic series divergence.
Triangle Resolution: Trigonometric Functions
MOOC: Trigonometric, Logarithmic and Exponential Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Trigonometric Functions: Sin and Cos
MOOC: Trigonometric, Logarithmic and Exponential Functions
Covers the definition of sine and cosine functions, their graphs, and notable points.
Real Functions: Graphs and Properties
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Natural Logarithm: Graph
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the properties and graph of the natural logarithm function, emphasizing its bijectivity and the Euler's number 'e'.
Derivatives of Trigonometric Inverse Functions
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Pairs of Functions
MOOC: Warm-up for EPFL
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Discusses reciprocal functions and their graphs, including x² and √x, e^x and ln(x), and tangent and arc tangent.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Trigonometric Formulas
MOOC: Trigonometric, Logarithmic and Exponential Functions
Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.
Graphs: Properties and Representations
Covers graph properties, representations, and traversal algorithms using BFS and DFS.
Harmonic Oscillations: Superposition
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.
Trigonometric Formulas: Bisection & Transformations
MOOC: Trigonometric, Logarithmic and Exponential Functions
Covers trigonometric bisection formulas and transformations between sums and products.
Functions: Real Numbers and Graphs
Covers functions of real numbers, graphing, and affine functions.
Automorphism groups: Trees and Graphs
Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.
Cosine Theorem
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the cosine theorem in triangles, analyzing side and angle relationships.
Generalized Powers: Derivatives and Exponentials
Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.
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