- #Sl loney trigonometry part 2 how to
- #Sl loney trigonometry part 2 full
- #Sl loney trigonometry part 2 series
The entire second half of the book is, in most modern classrooms, covered in courses on calculus and complex analysis.
#Sl loney trigonometry part 2 series
It starts with series representations of the logarithm and exponential (though using notation which is difficult to parse by modern standards-the funky factorial and the lack of Sigma notation, for example), moves on to a couple of limits, then jumps into complex analysis. Almost nothing in Part II is part of the precalculus curriculum (and nothing in Part II is mentioned in the course description in the question).
These topics certainly have some interest, but if the goal is to prepare students for a standard calculus curriculum, then they don't do any favors to the students.Īnd then there is Part II. Much of Chapter XV seems to focus on aspects of geometry which, for better or worse, are not typically part of the standard US precalculus curriculum (some of it might show up in the high school curriculum, but a lot of it isn't part any standard curriculum prior to upper division courses in geometry (or, perhaps, math competition prep courses)).
#Sl loney trigonometry part 2 how to
For example, most of Chapters X and XI are not relevant in a modern classroom (there is no reason for students to be taught how to read a log table, for example). There are a lot of topics in that text which are kind of archaic, or which are wholly inappropriate for a modern precalculus class. In general, my preference would be to use a book which places much less emphasis on computation or which emphasizes the way in which modern computers can aid computation. Such computation is, perhaps, useful as an exercise, but a CAS can typically do the job faster and more accurately. My experience is that modern exposition concerns itself more with the formulae themselves (as these recur in calculus), and largely elides explicit computation. For example, starting around page 106, there are many pages spent on computing the sines and cosines of angles using the angle sum and half-angle formulae. Looking over the table of contents, it appears that much of the focus is on computation. The cons which you mention are significant, but there are another couple of issues which should give you further pause: However, I would recommend against using such a text in an introductory class. From the point of view an "archaeologist" (or historian) of mathematics, I think that texts such as Loney may be interesting, and well worth reading. I say this in order to emphasize that I am interested in trying to understand how people thought in the past-the usual "text" that an archaeologist reads is the collection of artifacts which are left behind, but there is also a very active field called Historical Archaeology which seeks to associate historical records with a "ground truth". I started my career as an archaeologist before I ended up in mathematics. So the students in this course may or may not have any knowledge of trigonometry. Logarithmic, inverse, composite, radical, and absolute valueįunctions systems of equations and inequalities modeling applied Students will study linear, quadratic, rational, exponential, Of functions and their corresponding equations and inequalities. Graphical, numerical, symbolic, and verbal methods support the study Knowledge needed in many different fields such as engineering,īusiness, education, science, computer technology, and mathematics. This course provides students an opportunity to gain algebraic The prerequisite for this course is called College Algebra with the following description: Summation, half arc, and double arc formulas, inverse andĬomposite functions, sketching of the elementary functionsĮmphasizing phase shift, period, and amplitude, and the solution of Introduction to the elementary trigonometric functions using theįunctional approach, simple identities, identities using the
#Sl loney trigonometry part 2 full
Overall do you consider this book still as a reasonable option for a course on Trigonometry today?Įdit: The course is an undergraduate course with full name Pre-Calculus Trigonometry. The language used in late 1800s may sound archaic to some students. The author probably assumed no calculators (or computation software), which is now widely used in this course. Some notation may be obsolete, such as the old notation for factorials: So I do not need to adjust my syllabus every few years. Students can obtain the book at a very cheap price. The copyright has expired yet the book is still available.It is a classical textbook and stands the test of time.This books is very odd and there might be pros and cons because of its oldness. Loney's Plane Trigonometry as the textbook for my course in trigonometry and would like to ask for opinions about the book.