Synopses & Reviews
Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts. Written in a readable, yet mathematically mature manner appropriate for college level students, Coburns Trigonometry uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburns hallmark applications are born out of the authors extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area. Benefiting from the feedback of hundreds of instructors and students across the country, Trigonometry, Second Edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in trigonometry.
Synopsis
Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts.
Synopsis
Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts.
About the Author
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelors Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Whos Who Among Americas Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
Table of Contents
Coburn and Herdlick
Trigonometry, 2e
Chapter 1: Introduction to Trigonometry
1.1 Angle Measure and Special Triangles
1.2 Properties of Triangles; Similar Triangles
Mid-Chapter Check
RBC: More on Special Triangles
1.3 Trigonometry: A View from the Coordinate Plane
1.4 Fundamental Identities and Families of Identities
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery: The Range of Sine, Cosine, and Tangent
SCS: Creating New Identities
Chapter 2: Right Triangles and Static Trigonometry
2.1 A Right Triangle View of Trigonometry
2.2 Solving Right Triangles
Mid-Chapter Check
RBC: The Area of a Triangle
2.3 Applications of Static Trigonometry
2.4 Extending Beyond Acute Angles
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery: Solving Triangles
SCS: Standard Angles, Reference Angles, and the Trig Functions
Cumulative Review 1 - 2
Chapter 3: Radian Measure and Dynamic Trigonometry
3.1 Angle Measure in Radians
3.2 Arc Lengths, Velocities, and the Area of a Circular Sector
Mid-Chapter Check
RBC: More on Radians
3.3 The Unit Circle
3.4 The Trigonometry of Real Numbers
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery: Signs, Quadrants and Reference Arcs
SCS: Trigonometry of the Real Numbers and the Wrapping Function
Cumulative Review 1 - 3
Chapter 4: Trigonometric Graphs and Models
4.1 Graphs of Sine and Cosine Functions
4.2 Graphs of Cosecant, Secant, Tangent and Cotangent Functions
Mid-Chapter Check
RBC: Trigonometric Potpourri
4.3 Transformations of Trigonometric Graphs
4.4 Trigonometric Applications and Models
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 – 4
Modeling With Technology: Trigonometric Equation Models
Chapter 5: Trigonometric Identities
5.1 More on Verifying Identities
5.2 The Sum and Difference Identities
Mid-Chapter Check RBC: Understanding Identities
5.3 The Double Angle and Half Angle Identities
5.4 The Product-to-Sum and Sum-to-Product Identities
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 - 5
Chapter 6: Inverse Functions and Trigonometric Equations
6.1 One-to-One and Inverse Functions
6.2 Inverse Trigonometric Functions and their Applications
Mid -Chapter Check
RBC: More on Equation Solving
6.3 Solving Basic Trigonometric Equations
6.4 General Trigonometric Equations and Applications
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS: Trigonometric Equations and Inequalities
Cumulative Review 1 - 6
Chapter 7: Applications of Trigonometry
7.1 Oblique Triangles and the Law of Sines
7.2 The Law of Cosines; the Area of a Triangle
Mid -Chapter Check
RBC
7.3 Vectors and Vector Diagrams
7.4 Vectors Applications and the Dot Product
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 - 7
Chapter 8: Trigonometric Connections to Algebra
8.1 Complex Numbers
8.2 Complex Numbers in Trigonometric Form
8.3 Demoivres Theorem and the nth Roots Theorem
Mid-Chapter Check
RBC
8.4 Polar Coordinates and Equations
8.5 Graphs of Polar Equations
8.6 Parametric Equations and Graphs
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 – 8
Appendices
A.1 Exponential and Logarithmic Functions
A.2 Review and Technology
•Miscellaneous Algebra Review
•Transformations of Basic Graphs
•Solving Equations Graphically
•Regression and Calculator Use
•Families of Polar Graphs