Book details
Precalculus and Discrete Mathematics (University of Chicago School Mathematics Project)
Description
The 'Precalculus and Discrete Mathematics' textbook is designed to prepare high school students for the study of calculus and to introduce them to the fundamentals of discrete mathematics. It covers a range of topics that bridge the gap between algebraic concepts and the more rigorous world of university-level mathematics. The book typically includes units on advanced functions, such as polynomial, rational, exponential, and logarithmic functions, as well as an exploration of trigonometry, sequences, series, and complex numbers. In addition to these continuous mathematics topics, the book delves into discrete mathematics, covering subjects such as combinatorics, probability, statistics, graph theory, and mathematical logic. The text emphasizes problem-solving and analytical thinking, providing students with a solid foundation in both the theoretical and practical aspects of mathematics. The University of Chicago School Mathematics Project is known for its comprehensive approach and is often used to challenge students to deepen their understanding of mathematical concepts.
Age
9-12
Text complexity
expert
Length
914 pages
Why to read
- Comprehensive Curriculum: The 'Precalculus and Discrete Mathematics' book is part of the University of Chicago School Mathematics Project, which is known for its comprehensive and rigorous approach to mathematics education. Reading this book ensures a thorough understanding of both precalculus and discrete mathematics, preparing students for higher-level mathematics courses in college.
- Integrated Approach: This textbook uniquely integrates precalculus with discrete mathematics, providing a broader perspective on mathematical concepts. This approach helps students see the connections between different areas of mathematics and how they apply to real-world problems.
- Problem-Solving Focus: The authors, Epp, Hollowell, and Peressini, place a strong emphasis on problem-solving and critical thinking skills. By reading this book, students will encounter a variety of challenging problems that will enhance their analytical abilities and prepare them for complex mathematical tasks.
- Pedagogical Excellence: The University of Chicago School Mathematics Project is renowned for its pedagogical excellence. The book is designed with clear explanations, numerous examples, and exercises that cater to a range of learning styles. Reading this book allows students to benefit from high-quality instruction and develop a deep understanding of the material.