This text offers an innovative approach to the material in this course. It concentrates on broad mathematical themes and places on the unifying concept and skills that are used repeatedly throughout mathematics. It also consistently links mathematical concept to real applications in order to promote student intuition and understanding. By demonstrating the importance of mathematics in an accessible manner, this text helps breathe meaning and life into the course.
The concept of function is the unifying theme of the text. Models, applications, visualization, and technology are used consistently to introduce and investigate families of functions. Real data, graphs, and tables also play an improtant role in the course, giving meaning to the numbers and concepts that students encounter. In exploring functions, symbolic, graphical, verbal, and numerical approaches are all heavily emphasized, and students are frequently asked to discuss and interpret their results to demonstrate that they have mastered the concepts.
Chapter 1 Introduction to Functions and Graphs
Chapter 2 Linear Functions and Equations
Chapter 3 Nonlinear Function and Equattions
Chapter 4 Inverse Functions
Chapter 5 Trigonometric Function
Chapter 6 Trigonometric Identities and Equations
Chapter 7 Further Topics in Trigonomentry
Chapter 8 Systems of Equations and Inequalities
Chapter 9 Further Topics in Algebra