Algebra with Trigonometry- A Guided Tour for the College-Bound Student

About the Book

Originally formulated for the home-schooled student, this five hundred page text and study guide provides extremely detailed explanations in simple English with numerous example problems accompanied by narrative explanations for each topic presented. Reader friendly and logically organized, this volume serves as an all-inclusive high-school algebra text for the college bound student or as an excellent study guide to accompany any serious algebra or trigonometry course. Hundreds of practice problems complete with solutions are included in the text, covering every aspect of a high school or introductory level college algebra course. Also, it is perfect as summer reading for the student who wishes to get ahead or for adults participating in continuing education courses.

Topics presented include: Review of Fundamental Concepts, Systems of Linear Equations, The Matrix (Determinants, The Augmented Matrix, CrammerÕs Rule, Row-echelon Form), Linear Functions, Graphs of Linear Functions, Absolute Value Functions, Systems and Inequalities, Linear Programming, The Polynomial (Factoring, Binomial Theorem, Rational Factor Theorem), Polynomial Equations and Imaginary Numbers, Polynomial Functions, Rational Expressions, Inverse Functions, The Conic Sections (Parabola, Circle, Ellipse, Hyperbola), Exponents and Logarithms, Logarithmic Equations, The Natural Logarithm, Exponential Functions and Applications, Triangle Trigonometry (Law of Sines, Law of Cosines, Law of Tangents), Radian Measure, Inverse Trigonometric Functions, Graphing Trigonometric Functions, Trigonometric Identities, Sequences and Series, Summation Notation, and much more.

About the Author

Costa Papanicolaou began his career as a commercial pilot, earning both his single and multi-engine commercial pilot licenses at the age of nineteen. Later that same year, he earned instructing certificates and worked full time as a flight instructor. Within three years, he transitioned from instructor to corporate pilot, working throughout the country. Several years later, he made his way to Houston, Texas where he enrolled as a full time student at the University of Houston earning his BA in mathematics within three years.

Costa currently resides in Houston where he is involved in a number of community related endeavors. Much of his time is spent providing support to local students as a commissioned instructor and private tutor of mathematics. Maintaining his ties with the aviation community, he offers consultation services to individuals and corporations based in the greater Houston area regarding their aviation needs. Costa also volunteers much of his free time in the nearby city of Galveston where he sits on the board of directors at the Galveston Greek Orthodox church.

The excerpt below is an example of the short introductions which appear at the beginning of each chapter.