Linear Algebra is the third book in the Life of Fred University Mathematics Series (if this series is broken down into University Math Set 1 and University Math Set 2, it is the first book of "University/College Set 2"), and covers junior-year algebra that should only be taken after completing calculus.
Four chapters are included that deal with the systems of linear equations: systems with exactly one solution, systems with many solutions, systems with no solution, and systems evolving over time. Four additional half-chapters build upon that foundation to delve into more abstract topics such as vector spaces and inner product spaces. "Your Turn to Play" sections are interspersed throughout each chapter and involve students in the process of learning through practice. After completing the problems, fully worked solutions are given for students to check their work. At the end of each chapter are six "city" problem sets (each named after a city). All "city" answers are provided in this expanded edition.
Life of Fred Linear Algebra covers: Solving systems of equations with one, many, and no solutions. Gauss-Jordan elimination. Gaussian elimination. Matrices. LU-decomposition. Vector spaces. Inner product spaces. Gram-Schmidt orthogonalization process. Fourier series. Data fitting. Linear Transformations. Linear functionals. Dual spaces. Eigenvalues and eigenvectors. Markov chains.
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!
368 pages, indexed; hardcover, non-consumable textbook with Smyth-sewn binding. Students write their answers on separate paper. This expanded edition features answers to all "city" problems.
