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Lecture
Integration Techniques: Trigonometric and Hyperbolic Functions
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Harmonic Oscillations: Superposition
Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.
Symmetries of Trigonometric Functions
Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.
Trigonometric Equations: Basics
Introduces the basics of solving trigonometric equations through examples and various techniques.
Trigonometric Functions: Arcsin and Arccos
Covers the definitions and properties of arcsin and arccos functions.
Trigonometric Functions: Right Triangle
Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.
Mathematical Reminders: Trigonometry
Covers mathematical reminders on trigonometry, focusing on angles in radians and trigonometric functions.
Derivatives and Extrema: Theory and Applications
Explores derivatives, extrema, and their practical applications in function analysis.
Examples of Integrals
Covers various examples of integrals, emphasizing trigonometric substitutions and techniques.
Trigonometric Formulas: Bisection & Transformations
Covers trigonometric bisection formulas and transformations between sums and products.
Real Functions of a Real Variable
Covers the terminology and conventions of real functions of a real variable.