Derivatives and Trigonometry Fundamentals

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Related lectures (46)

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

Circular Motion in a Train: Mechanics

Explores circular motion in a train, discussing position, velocity, and acceleration in different frames of reference.

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

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

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.

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.

Circular Motion and Harmonic Oscillator

Explores circular motion, harmonic oscillators, and double springs, elucidating the physics principles behind them.

Complex Numbers: Introduction and Operations

Covers the introduction and operations of complex numbers in physics and engineering applications.

Advanced Analysis II: Variation of Constants Method

Covers the variation of constants method for solving first-order linear differential equations, detailing its steps and implications for general and particular solutions.

Cosine Theorem MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores the cosine theorem in triangles, analyzing side and angle relationships.

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

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

Trigonometric Functions: Sin and Cos MOOC: Trigonometric, Logarithmic and Exponential Functions

Covers the definition of sine and cosine functions, their graphs, and notable points.

Trigonometric Circle: Interpretation and Applications MOOC: Trigonometric, Logarithmic and Exponential Functions

Explores the interpretation of angles on the trigonometric circle and its applications in circular motion.

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

Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.

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

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

Taylor Series: Basics

Covers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.

Developing Cosine Composition MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.

Taylor Polynomial: Order 2

Presents the solution to finding the second-order Taylor polynomial of a function.

Real Numbers and Functions

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Taylor Series: Approximating Functions with Polynomials

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Applications: Trigonometric Functions MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Explores applications of trigonometric functions, focusing on the tangent function and its derivatives.

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