MOOC

Trigonometric, Logarithmic and Exponential Functions

Description

This course provides the fundamental knowledge related to these functions. It is structured around 9 chapters spread over 12 weeks:

The angle and its measurement Trigonometric functions sine and cosine and their inverses Trigonometric functions tangent and cotangent and their inverses Trigonometric formulas (addition, bisection, etc.) Harmonic oscillations Trigonometric equations Triangle relations (sine and cosine theorems) Continuity and derivability of trigonometric functions Logarithmic and exponential functions

The course offers a very detailed and precise approach to the fundamental notions associated with trigonometric, logarithmic and exponential functions. The presentation of concepts and propositions is supported by a wide range of figures and animations, as well as examples that illustrate the application of the knowledge acquired.

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Description

This course provides the fundamental knowledge related to these functions. It is structured around 9 chapters spread over 12 weeks:

About this result

Lectures in this MOOC (35)

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.

Harmonic Oscillations: Superposition MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

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.

Trigonometric Equations: Sinus and Cosinus MOOC: Trigonometric, Logarithmic and Exponential Functions

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Trigonometric Formulas: Addition Theorem MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores trigonometric addition theorem, double angles, and tangent properties.

Related concepts (32)

Lausanne

Lausanne (loʊˈzæn , USalsoloʊˈzɑːn , lɔzan; Losena lɔˈzəna) is the capital and largest city of the Swiss French-speaking canton of Vaud. It is a hilly city situated on the shores of Lake Geneva, about halfway between the Jura Mountains and the Alps, and facing the French town of Évian-les-Bains across the lake. Lausanne is located northeast of Geneva, the nearest major city. The municipality of Lausanne has a population of about 140,000, making it the fourth largest city in Switzerland after Basel, Geneva, and Zurich, with the entire agglomeration area having about 420,000 inhabitants (as of January 2019).

Exponential family

In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special form is chosen for mathematical convenience, including the enabling of the user to calculate expectations, covariances using differentiation based on some useful algebraic properties, as well as for generality, as exponential families are in a sense very natural sets of distributions to consider. The term exponential class is sometimes used in place of "exponential family", or the older term Koopman–Darmois family.

Lausanne District

Lausanne District (District de Lausanne) is a district in the canton of Vaud, Switzerland. The seat of the district is the city of Lausanne. Lausanne has an area, , of . Of this area, or 27.3% is used for agricultural purposes, while or 30.9% is forested. Of the rest of the land, or 41.6% is settled (buildings or roads) and or 0.1% is unproductive land. Lausanne has a population () of . Most of the population () speaks French (159,559 or 79.6%), with German being second most common (8,534 or 4.