Functions and Their Graphs by Jackie Nicholas. Janet Hunter. Jacqui Hargreaves.
Functions and Their Graphs - Table of Contents
- 1. Functions and Fundamental Definitions
- 2. More about Functions and Graph Transformations
- 3. Piecewise Functions and Solving Inequalities
- 4. Polynomials and Higher-Degree Curves
- 5. Solutions to Exercises and Practice Problems
What You Will Learn in Functions and Their Graphs
Functions and Their Graphs by Jackie Nicholas, Janet Hunter, and Jacqui Hargreaves is an exceptional pedagogical text developed at the Mathematics Learning Centre of the University of Sydney, designed to bridge the gap between secondary school algebra and university-level calculus. This text emphasizes visual understanding and practical application, covering core topics such as Linear, Quadratic, and Polynomial Functions, Rational Functions and Asymptotes, Exponential and Logarithmic Models, Trigonometric Functions and Periodicity, and Introduction to Limits and Rates of Change.
This book serves as an invaluable guide for undergraduate science, engineering, and commerce students as well as self-study learners who need to strengthen their foundational math skills before tackling advanced calculus. The authors employ a step-by-step explanatory framework supported by clear graphs, annotated examples, and practice exercises to build student confidence.
Due to its clear instructional design and focus on graphical literacy, it is widely recognized as an outstanding preparatory text for university mathematics and calculus. Rather than relying purely on rote memorization, it fosters deep analytical thinking and visual problem-solving skills essential for higher-level quantitative studies and scientific modeling.
Book Details & Specifications
Title:
Functions and Their Graphs by Jackie Nicholas. Janet Hunter. Jacqui Hargreaves.
Publisher:
University of Sydney
Year:
1997
Pages:
77
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
University Educational Resource
Amazon:
Amazon
About the Author: Jackie Nicholas
The author Jackie Nicholas
, Janet Hunter, and Hargreaves are distinguished mathematics educators and senior academic staff associated with the Mathematics Learning Centre at the University of Sydney. They have dedicated their careers to developing specialized bridging courses and supporting students in mastering core mathematical concepts.
Through Functions and Their Graphs, the authors synthesize years of classroom and tutorial experience into a highly structured, intuitive resource. Their clear visual methodology and student-friendly explanations make this text a masterpiece guide for understanding mathematical functions and graphical analysis.
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