I need a ghostwriter with at least a good undergraduate education in mathematics and the ability to write seven calculus and above articles for nonmathematicians. Sounds a little impossible, but it's not. The seven articles (more to come later) are for a planned new mathematics magazine.
The first article will introduce differential calculus, without rigorous proof, to college level people who are not math majors. You can assume that the readers have completed math through trigonometry, but have had only a little analytical geometry and no calculus. Conveying detailed technical knowledge is less important than engendering understanding. The readers will be teaching themselves through independent study, so your presentation must be simple, clear, and complete. "Complete" in the sense that the reader should not be left wondering about loose ends that were not tied up.
Each article should contain about 1800 to 2200 words, along with any necessary figures or tables. Additionally, 10 relevant problems, for readers to test themselves on, and the solutions to the problems should accompany each article.
The articles should not be particularly heavy on how to do mathematical manipulations, although some are necessary for understanding. The focus should be more on comprehension of the subject of the article and the understanding of what the subject is all about. It is also important that the reader learn how the subject of the article relates to other mathematical discourses and ideas, to the history of mathematics, to disciplines outside mathematics, etc. Introducing the use of modern calculators and of PC computer programs would be desirable.
The other six articles will be concerned with partial derivatives, integration, numerical analysis, ordinary differential equations, partial differential equations, and numerical analysis applied to differential equations. Do not plagiarize anything, even problems or their solutions.
As a writing sample, draft the first 500 words of the first article and send it to me.