This outline presents the fundamentals of a first-year course m

college mathematics. Such a general course usually is intended for

students who do not plan to continue the study of mathematics, but

who, nevertheless, would like to obtain a knowledge of the basic con-

cepts of mathematics oil a college level. This book will furnish a

rapid review for the reader who has completed the course, and will

furnish supplementaly reading for one who is enrolled in this course/

of study.

A course in general college mathematics may encompass many

things. Each instructor and each university have points of particular

emphasis. This book has concentrated on the fundamental concepts

of algebra, trigonometry, and analytic geometry, with an introduction

to the calculus. The book is complete in itself and, although it is not

intended to be used as a textbook, it may be read with profit by those

who are beginning the study of college mathematics. It should pro-

vide any reader with a thorough knowledge of the usual topics studied

during the first year in this field.

Each concept has been illustrated with figures, solved problems,

and examples. Neatness and systematic manner of solving the prob-

lems have been stressed, for these should be products of the study of

mathematics. Logical thinking and elimination of errors can be

achieved by the adaptation of systematic procedures. Abbreviated

tables have been placed in the back of the book for computational

purposes. If the reader finds a need for greater accuracy, he can ob-

tain more extensive tables in this College Outline Series and will not

experience any difficulty in using them.

A thorough knowledge of any branch of mathematics cannot be ob-

tained without solving problems. Consequently, a few typical exer-

cises have been placed at the end of each chapter. The student is