I will make every effort to attempt to carefully examine your sons work and recommend corrections where needed. A well organized notebook is a valuable study asset. Each problem is a precious gem to be admired and contemplated. The primary text is excellent and offers solutions for all problems presented. It is advisable to examine the material in the book carefully and attempt to memorize theorems and axioms and other definitive statements. Course Requirementsĭifferential Equations is a fairly difficult topic and requires serious effort and dedication on the part of the student and teacher. For the more advanced theoretical topics there are quite a few sources available to us from the internet and magazines to a colleague of mine who has agreed to come and give the school some talks on worm holes and string theory. We will use Quantum Mechanics by Leonard Schiff as well. In addition to this source we will use Schaums’ Outline on DE, and Differential Equations by Ralph Palmer Agnew Published in 1942 By McGraw Hill Book co.
There are 201 pages of excellent instructional material on DE and a plethora of problems and examples. Chapters one, two, and three are of prime importance and constitute the main body of the course. ISBN 5-9 by William E Boyce and Richard C DiPrima. TextbooksĮlementary Differential Equations and Boundary Value Problems. We progress on into relativity and move on out into space where we can examine some interesting concepts such as string theory, worm holes, black holes dark matter and so on. Knowledge gained here will allow us to move gently into quantum mechanics in a somewhat qualitative way. This equation is a second order partial DE used to solve the energy levels and wave functions for all of the elements. When we become strong in dealing with elementary DE, we will examine the most famous one now extant-Schrödinger’s equation. Much effort will be spent in solving equations and learning techniques for doing so. We will concentrate on methods of solving, analyzing and approximating solutions for DE that prove useful in a wide variety of applications (real world). Our course will enable a deeper understanding of and appreciation for the basic precepts of physics and chemistry studied in previous years.
CALCULUS THREE FULL
The students attending this class, having completed two full years of calculus, are ready for a course of study that relies on calculus and extends it in a meaningful way.
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