Integration Techniques: Trigonometric and Hyperbolic Functions

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Integral Techniques: Trigonometric/Hyperbolic Functions

Covers integration techniques using trigonometric and hyperbolic functions, with examples and variable changes.

Complex Hyperbolic and Trigonometric Functions

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

Integration Techniques: Part 2

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Trigonometric Functions and Derivatives

Covers trigonometric functions, derivatives, and their applications in solving mathematical problems.

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

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

Integration: Simple Elements MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

Covers the integration of simple elements using various techniques to solve integration problems.

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

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

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.

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.

Continuity of Trigonometric Functions MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Integration Techniques: Change of Variable and Integration by Parts

Explores advanced integration techniques such as change of variable and integration by parts to simplify complex integrals and solve challenging integration problems.

Trigonometric Equations: Tangent and Cotangent MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

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.

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

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

Symmetries of Trigonometric Functions MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Trigonometric Equations: Basics MOOC: Trigonometric, Logarithmic and Exponential Functions

Introduces the basics of solving trigonometric equations through examples and various techniques.

Trigonometric Functions: Arcsin and Arccos MOOC: Trigonometric, Logarithmic and Exponential Functions

Covers the definitions and properties of arcsin and arccos functions.

Trigonometric Functions: Right Triangle MOOC: Trigonometric, Logarithmic and Exponential Functions

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

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