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Working with applied math, this book allows students to solve most
second-order differential equations; however, answers you get in numerical
analysis are only in numeric approximations. Calculus is recommended as a
prerequisite because students are learning how to integrate tons of functions.
Students write fairly simple computer programs in this course. Complete
solutions are included.
Publisher's Description of Life of Fred: Numerical Analysis
Solving every equation that is in the form f(x) = 0. Bisection method.
Solving f(x) = 5. Solve x to the x power equals 5. Solving f(x) =
g(x). Finding the value of
cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(x)))))))))))). Secant
method. Newton method. Finding the polynomial to interpolate five
points. The Lagrange polynomial. Dealing with 900 points and no given
f(x). Splines. Piecewise polynomial approximations. Numerical
integration. Why Simpson's rule is true. Numerical differentiation.
Monte Carlo methods. First-order ordinary differential equations
starting with y' = g(x). Starting with y' = g(x, y). Euler's method.
Runge-Kutta method. Second-order differential equations. Second-order
boundary problems. Second-order initial value problems. Parabolic
partial differential equations. Elliptic partial differential
equations. Hyperbolic partial differential equations.
Life of Fred(LOF) is an unconventional series of math texts that seem accessible and friendly, especially for students who dislike traditional programs. According to Dr. Schmidt, the author, this series is designed to teach you the math you need to know without repetition, redundancy, and a multitude of problems to work. LOF follows the storyline of Fred's life while incorporating solid math concepts and skills. Motivated or independent students will appreciate this series, as well as gifted math students who might need a challenge. Written to the student and intended to be self-teaching, the author prefers that students use these with very little help from you, so they can learn to study and understand on their own. Even the solutions (found in the text) are addressed to the student. In fact, there's a lot of actual instruction in the solutions, which students should read after trying to solve problems on their own. Math in a story context can sometimes make more sense to students than stand-alone math concepts - especially if it's an entertaining story! Students do two books per year up through pre-algebra; beginning with algebra, one book per year.
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Fun way to give Christmas Money to grandkids.
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