Course description
This educational resource is designed to develop algebraic thinking and enhance mathematical fluency. It covers a wide range of topics starting from functions, limits, and graphs, and progresses through composite functions, inverse functions, and various function properties including increasing, decreasing, even, and odd functions. It delves deeply into function transformations, piecewise functions, absolute value operations, and signum and floor functions—each topic scaffolded with clear definitions, worked examples, and exercises.
The structure is highly student-centric, with sections broken down into digestible explanations, graphical interpretations, and conceptual summaries. A consistent focus is maintained on understanding domain, range, and the behavior of functions over intervals. The book culminates with a comprehensive chapter review and test, reinforcing key learning outcomes and preparing students for advanced mathematical studies.
This resource emphasizes visual and symbolic literacy in mathematics, integrating analytical reasoning with geometric insight. Its progressive complexity ensures it is both accessible for learners beginning algebra and rigorous enough to challenge advanced students.
