Primers and ebooks page |

Wayne Hacker Mathematics, Physics, and Engineering |

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A primer is typically defined to be an elementary textbook that serves as an introduction to a subject of study. Ideally a primer should be self-contained. Unfortunately, some of my primers, such as the algebra primer, are not self-contained; they are really a review of the subject.

Some of these primers were created from old class notes while on sabbatical at Pima Community College.

(a.) Math prerequisites for physics: |
(b.) Business math: |
(c.) Special topics in applied math: |

1a. Algebra primer | 1b. Business Mathematics 1 | 1c. Solving ODEs and PDEs using Matlab primer |

2a. Trigonometry primer | 2b. Compound interest primer | 2c. Introduction to asymptotic and perturbation methods |

3a. Vector primer | 3b. Probability primer | |

4a. Calculus primer | ||

This primer is a quick review of the key ideas of beginning algebra through college algebra. Many of the ideas in this primer are not derived from scratch and require previous knowledge of the subject.

Algebra primerAlgebra primer (hand-written-component)

Algebra primer homework set

Algebra primer homework set solutions

This primer develops the basic properties from scratch and requires no previous knowledge of the subject. This is a fairly thorough introduction to the trig needed for doing introductory-level physics.

Trigonometry primerTrigonometry primer homework set

Trigonometry primer homework set solutions

This primer develops the basic properties from scratch and requires no previous knowledge of the subject. This is a fairly thorough introduction to working with vectors.

Vector primerVector primer homework set

Vector primer homework set solutions

This primer is not yet written, but the problems are done.

Calculus primer (Coming soon)Calculus primer homework set

Calculus primer homework set solutions

This primer is a fairly thorough introduction to compound interest (including derivations of the fundamental compound interest formulas) and introductory probability.

Business Mathematic 1This primer is a fairly thorough introduction to compound interest
(including derivations of the fundamental compound interest
formulas). It starts out with the basics, then moves on to topics that
are beyond what one would get in a standard college algebra course, or
business math course. This primer would make a great introduction to more advanced investment books, such as the
classic book *Interest theory* by *Keller*.

Compound interest primer homework set

Compound interest primer homework set solutions

This primer is a fairly thorough introduction to probability (including derivations). It starts out with the basics (including elementary set theory), then moves on to to introduce the concept of a one-dimensional random walk (stochastic process). This primer together with the compound interest primer would make a nice one-semester course on business mathematics. In fact, this is exactly my Business mathematics 1 book above.

Probability primerSolving ODEs and PDEs using Matlab primer

Matlab files to accompany the ODE/PDE primer (zipped file)