Life of Fred: Calculus Expanded Edition

All of freshman and sophomore calculus. (All the answers are given in the book itself.  No need to buy answer keys, teachers' editions, or anything else.)

ISBN: 978-0-9709995-53-1 hardback, 592 pages.

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List of Topics Covered:

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. (Sixteen units of college calculus.)
        This book includes the standard advanced topics such as the epsilon-delta proofs, proof of the Mean Value Theorem, probability density functions, proof that an increasing bounded sequence has a finite limit, Legrange Multipliers, Cylindrical and Spherical Coordinate Systems, Green's Theorem, Divergence Theorem, Stoke's Theorem, six approaches to First Order Differential Equations (variables separable, homogeneous, first order linear, Bernoulli's equation, Exact, and 12 Integrating Factors), and two approaches to Second Order Differential Equations.

The full 10-book Extra High School and College Math series includes:

1. Life of Fred: Logic
2. Life of Fred: Calculus Expanded Edition (freshman and sophomore year of college)
3. Life of Fred: Statistics Expanded Edition
4. Life of Fred: Life of Fred: Five Days of Upper Division Math: Set Theory, Modern Algebra, Abstract Arithmetic, Topology
5. Life of Fred: Abstract Algebra
6. Life of Fred: Linear Algebra Expanded Edition (junior year of college)
7. Life of Fred: Real Analysis
8. Life of Fred: Complex Analysis
9. Life of Fred: Numerical Analysis
10. Life of Fred: Metamathematics 

Life of Fred: Chemistry can also be read near the end of High-School or early College.