Mathematical Functions: Theory and Applications

Related lectures (35)

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

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

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

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

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

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

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

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

Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.

Covers trigonometric bisection formulas and transformations between sums and products.

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

Covers expressing sums and products using trigonometric functions step by step.

Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.

Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.

Covers the definition and properties of harmonic oscillations in the context of uniform circular motion projections.

Covers ordinary linear homogeneous differential equations, focusing on the harmonic oscillator equation and its solutions.

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

Covers elementary functions like sin(x), cos(x), and tan(x) with examples and properties.

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

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