EKAKITIE, Omamoke2026-02-262026-02-262024https://nigeriareposit.nln.gov.ng/handle/20.500.14186/2456The book is a comprehensive academic manual designed to provide foundational mathematical clarity for students in higher education. The textbook bridges the gap between basic concepts and advanced undergraduate applications through a structured, thirteen-chapter curriculum. Central to the book is its focus on algebraic functions, including detailed explorations of quadratic equations, polynomials, and partial fractions. The author employs a pedagogical approach that emphasizes both theoretical understanding and problem-solving techniques, particularly in the sections dedicated to arithmetic and geometric progressions, binomial theorems, and the principles of mathematical induction. The latter portion of the handbook provides an in-depth treatment of trigonometry and geometry. It covers essential trigonometric identities, ratios, and the measurement of angles in both degrees and radians, while also introducing coordinate geometry and locus. Each chapter is equipped with specific aims, objectives, and assessment sections to facilitate self-regulated learning and academic evaluation. By integrating clear definitions, worked examples, and evaluative exercises, this handbook serves as an indispensable resource for students seeking to master the core mathematical principles required for success in science, engineering, and social science disciplines. Percentage Error and Ratio  Real Numbers, Logarithms, Surds and Indices  Quadratic Equation  Polynomial  Partial Fraction  Arithmetic Progression  Geometric Progression  Binomial Theorem  Set  Complex Number  Mathematical Induction  Trigonometry  Geometryen