Life of Fred: Calculus
Functions, Limits, Speed, Slope, Derivatives, Concavity, Trig, Related Rates, Curvature, Integrals, Area, Work, Centroids, Logs, Conics, Infinite Series, Solids of Revolution, Polar Coordinates, Hyperbolic Trig, Vectors, Partial Derivatives, Double Integrals, Vector Calculus, Differential Equations. (Two years of college calculus.)
ISBN: 978-0-9709995-0-4, hardback, 544 pages. $39 Answer key, paper, $6
Life of Fred: Statistics
Descriptive Statistics (averages, measures of dispersion, types of distributions), Probability, Bayes’ Theorem, From a Given Population Determine What Samples Will Look Like (7 tests), Techniques of Sampling, From a Given Sample Determine What the Population Was (14 tests), Determine Whether Two Given Samples Came From the Same Population (15 tests), Working With Three or More Samples (10 tests), Emergency Statistics Guide, Regression Equations, Field Guide, 16 Tables. (College level.)
ISBN: 978-0-9709995-5-9, hardback, 544 pages. $39 Answer key, paper, $6
Life of Fred: Linear Algebra 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. (Upper-division college level.)
ISBN: 978-0-9791072-1-4, hardback, 352 pages. $49
Answer key, paper, $6