The student uses correct mathematical notation, symbols, and terminology consistently throughout the IA, demonstrating a solid understanding of the concepts involved. While the introduction effectively describes the main concepts and provides context for the exploration, key terms such as "amplitude" and "natural frequency" were not defined when first introduced, which could hinder understanding. The student does, however, provide detailed definitions for additional terms at appropriate stages, and employs multiple forms of mathematical representation effectively. All mathematical calculations are explained clearly, though the degree of accuracy for rounded values is not specified. Overall, the student maintains precision in calculations and properly labels all graphs, tables, and diagrams.