Mathematical Functions: Theory and Applications

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

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