Life of Fred Real Analysis is the fifth book in the overarching "Life of Fred University Mathematics" series, or the third in the "University Set 2" series. It is designed to be used after Calculus and Life of Fred Five Days have been completed. "Real Analysis" is studied by math majors in college and is more advanced than what most non-majors encounter. Real Analysis is the study of real numbers, functions using the real numbers, and the properties of the real numbers and their functions; it is heavy on theorems and proofs. Each of the 113 as signments/puzzles/questions call for creativity rather than drill work. Assignments are not broken up into daily lessons, and they take varying amounts of time to complete (from a minute to several hours).
Topics covered include: real numbers, sequences, series, tests for series convergence, limits & continuity, derivatives, the Riemann Integral, Sequences of Functions, Series of Functions, and more.
Life of Fred is a unique, complete (not supplemental), math program that uses a highly engaging narrative to teach math without fear and with enjoyment. Students follow the life of Fred Gauss (a math professor who grows up to the age of six), who has many humorous, unlikely, and zany adventures over the course of the curriculum. Math becomes relevant and important because the need for math occurs in Fred's life (and he sees math everywhere). Witty and truly entertaining, these books will engage students in a way unlike any other math program - --while also instilling a solid understanding of the principles of mathematics without an abundance of repetitive drills. This series is perfect for inquisitive students who struggle with the relevance of math, or anyone looking for a creative approach to mathematic thinking!
302 pages, indexed; hardcover, non-consumable textbook with Smyth-sewn binding. Students write their answers on separate paper. Answers included.
