Precalculus, Enhanced etext, 3rd Edition
December 2017, ©2018
Precalculus was developed to create a program that seamlessly aligns with how teachers teach and fully supports student learning. Cynthia Young’s goal was to create an intuitive, supportive program for students without sacrificing the rigor needed for true conceptual understanding and preparation for Calculus. Precalculus helps bridge the gap between in-class work and homework by mirroring the instructor voice outside the classroom through digital resources and pedagogical features.
0. Equations and Inequalities
1. Functions and their Graphs
2. Polynomial and Rational Functions
3. Exponential and Logarithmic Functions
4. Trigonometric Functions of Angles
5. Trigonometric Functions of Real Numbers
6. Analytic Trigonometry
7. Polar Coordinates and Vectors
8. Systems of Linear Equations and Inequalities
9. Conics, Systems of Nonlinear Equations and Parametric Equations
10. Sequences and Series
A. Fundamentals of Algebra
(A Limits Section isavailable online or as a custom print component)
- New Interactive Animations: Based on Cynthia Young’s lectures the interactive animations were created to help students build a solid conceptual understanding of specific learning objectives by delivering learning content integrated with ed interactive questions to guide and solidify students’ foundational knowledge of the topic.
- New Math Maple questions: These question types are HTML5 based and fully mobile to enable functionality demanded by the modern student.
- ORION Algebra Refresher Module: Every student comes to class with a different set of mastered prerequisite skills. The Algebra Refresher Module helps students and instructors identify prerequisite knowledge gaps and provides adaptive remediation to prepare all students for success.
- Clear, Concise, and Inviting Writing: This program provides material in a student centric, clear manner, presented in a layout designed to reduce math anxiety.
- Author Lecture Videos: Video lectures provides an opening overview for each chapter and section level worked example videos for the topics students find the most challenging.
- Parallel Words and Math: This course reverses the common presentation of examples by placing the explanation in words on the left and the mathematics problem on the right. This makes it easier for students to read through examples as the material flows more naturally and appears as information is commonly presented in lectures.
- Catch the Mistake exercises: “Catch the Mistake” exercises included in each course section put students in the role of the instructor grading homework, which increases the students’ depth of understanding and reinforces what they have learned.
- Your Turn problems: Students are frequently asked to work a problem immediately following an example to reinforce and check their understanding. This feature helps students build confidence as they progress in the course. These problems are ideal in-class activities that prepare students for their homework assignments.
- Correct vs. Incorrect examples: In addition to standard examples, some problems are worked both correctly and incorrectly to highlight common errors students make. Counter examples like these are an effective learning approach for many students.
- Modeling Our World projects: Found online for every course section, these projects engage students by using real world data to model mathematical applications found in everyday life.
- Cumulative Section Tests: Cumulative tests are included at the end of each course section to assess and improve students' retention of material.