Basic Technical Mathematics with Calculus, SI Version, Canadian Edition, 12th edition

Published by Pearson Canada (January 15, 2024) © 2025

  • Allyn J. Washington Dutchess Community College
  • Richard Evans Corning Community College
  • Michelle Boué Trent University
  • Elizabeth Fabbroni Martin Mohawk College of Applied Arts & Technology

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The student-friendly, acclaimed best seller in technical math

This tried-and-true text from Allyn Washington builds on the author's highly regarded approach to technical math, while enhancing its pedagogy with full-colour figures and boxes that warn students of Common Errors. Appropriate for a two- to three-semester course, Basic Technical Mathematics with Calculus, SI Edition shows how algebra, trigonometry and basic calculus are used on the job. It covers applications in a vast number of technical and pre-engineering fields, including statics, electronics, solar energy, laser fiber optics, acoustics, fluid mechanics, and the environment. Known for its exceptional problem sets and applied material, the book offers practice exercises, writing exercises, word problems and practice tests. The SI Version is enhanced with a mix of Canadian and global examples, a reorganized Statistics chapter and updated notation that reflects standard engineering practice in industry.

Hallmark features of this title

  • Practice Exercises. Throughout the text, there are practice exercises in the margin. They are included so that a student is more actively involved in the learning process and can check his or her understanding of the material to that point in the section. They can also be used for classroom exercises. The answers to these exercises are given at the end of the exercise set for the section.
  • Chapter Introductions. Each chapter introduction illustrates specific examples of how the development of technology has been related to the development of mathematics. These introductions show that past discoveries in technology led to some of the methods in mathematics, whereas in other cases mathematical topics already known were later very useful in bringing about advances in technology.
  • Special Explanatory Comments. Throughout the book, special explanatory comments in colour have been used in the examples to emphasize and clarify certain important points. Arrows are often used to indicate clearly the part of the example to which reference is made.

New to this Edition

  • As the world shifts to a greater reliance on digital media, it is appropriate that this resource evolves as well. This twelfth edition is the first fully digital version of Basic Technical Mathematics, SI Version. Instructors and students will find that although the medium has changed, the content is fully consistent with prior editions.
  • Diversity, Equity, and Inclusion.We conducted an external review of the text's content to determine how it could be improved to address issues related to diversity, equity, and inclusion. The results of that review informed this revision.
  • Chapter Introductions and Margin Notes. All chapter introductions and some margin notes point out relevant historical events in the development of mathematics, science, and technology. In this edition, we have expanded our discussions to include more achievements of women, people of colour, Indigenous people, and other people from minority groups who have made significant contributions to these disciplines.
  • Increased Breadth and Relevance of Applications. The text features many new applications in the examples and exercises. We have included new material related to several engineering technologies and to everyday life, and have made an effort to replace some situations which are not very relevant for students (such as missiles or rockets). We have also updated real-world data and scenarios to make them current.
  • Graphing Technologies. We continue our flexible approach to technology, encouraging students to solve problems using any graphing utility, including the many free online graphing calculator and CAS apps available. In this edition, we have replaced most of the graphing calculator displays with displays obtained with the graphing calculator app GeoGebra (www.geogebra.org)

Digital Assets in MyLab Math

  • GeoGebra Graphing. GeoGebra Graphing Exercises are gradable graphing exercises that help students demonstrate their understanding. Assignable alongside our MyLab Math homework exercises, they enable students to interact directly with the graph in a manner that reflects how students would graph on paper.
  • Exercises. The number of assignable algorithmic exercises has increased by about 260. Of these new exercises, about 210 are based on existing textbook exercises. The remaining 50 or so are applications written especially for this revision by the US edition's author, Rich Evans. These new problems (which do not appear in the book) are labelled EXTRA in MyLab. Existing exercises were also modified to improve clarity.
  • Videos. This edition's MyLab includes greatly increased video coverage, adding 195 new example videos to bring the total to 630. Many of the new videos feature the US edition's author, Rich Evans. Also new to this edition's MyLab is the Guide to Video-Based Assignments, which makes it easier for you to create assignments containing video by showing which MyLab questions relate to each video.
  • Mindset. Mindset videos and corresponding assignable, open-ended exercises foster a growth mindset in students. This material encourages them to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as learning opportunities - so often a hurdle for math students.
  • Personal Inventory Assessments. Personal Inventory Assessments are a collection of online exercises designed to promote self-reflection and engagement in students. These 33 assessments include topics such as a Stress Management Assessment, Diagnosing Poor Performance and Enhancing Motivation, and Time Management Assessment.
  • Online Graphing Calculator Handbook Although this edition does not rely on the use of graphing calculators, instructors and students who wish to use TI-84 or TI-89 calculators can follow the instructions provided in the online handbook. This handbook was created specifically for the US edition by Benjamin Rushing (Northwestern State University).
  • Student Solutions Manual. Contains fully worked solutions to odd-numbered exercises. Available for download from within MyLab Math.
  1. Basic Algebraic Operations
  2. Geometry
  3. Functions and Graphs
  4. Trigonometric Functions
  5. Systems of Linear Equations; Determinants
  6. Factoring and Fractions
  7. Quadratic Functions
  8. Trigonometric Functions of Any Angle
  9. Vectors and Oblique Triangles
  10. Graphs of Trigonometric Functions
  11. Exponents and Radicals
  12. Complex Numbers
  13. Exponents and Logarithmic Functions
  14. Additional Types of Equations and Systems of Equations
  15. Equations of Higher Degree
  16. Matrices; Systems of Linear Equations
  17. Inequalities
  18. Variation
  19. Sequences and The Binomial Theorem
  20. Additional Topics in Trigonometry
  21. Plane Analytic Geometry
  22. Introduction to Statistics
  23. The Derivative
  24. Applications of the Derivative
  25. Integration
  26. Applications of Integration
  27. Differentiation of Transcendental Functions
  28. Methods of Integration
  29. Partial Derivatives and Double Integrals
  30. Expansion of Functions in Series
  31. Differential Equations

About our authors

The late Allyn J. Washington received his Master's Degree from Brown University. He was Professor of Mathematics at Dutchess Community College (Poughkeepsie, New York) where he served as the Mathematics Department Head as well as Dean of the College. Allyn was a founding member of the New York State Mathematics Association of Two-Year Colleges and a founding member of the American Mathematics Association of Two-Year Colleges. He was awarded an Honorary Doctorate Degree by State University of New York. He is listed in Who's Who in America. The Allyn J. Washington Center for Science and Art Building is named in his honor at Dutchess Community College.

Richard Evans received a Master's Degree in mathematics from Binghamton University (Binghamton, New York). He is currently a professor of mathematics at Corning Community College, where he has taken an active role in the college's governance system, including having chaired the mathematics department as well as the College Association. He is a long-standing member of the New York Mathematics Association of Two-Year Colleges and has attended and presented at many of these annual conferences. Rich has a strong background in applied mathematics and has taken two sabbatical leaves involving real-world applications of math in business and industry. In his free time, Rich enjoys spending time with his family, playing guitar, and boating in the Finger Lakes.

Michelle Boué holds M.Sc. and Ph.D. degrees in Applied Mathematics from Brown University. She has more than 30 years of experience teaching mathematics and statistics at different colleges and universities in Canada, the United States, and Mexico. Her current interests are in mathematics and science education. She enjoys teaching future teachers, and is a presenter for Scientists in School.

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