The primary objective in the design of Mathematics for Machine Technology is to present those mathematical concepts and practical application of concepts
that are generally required by skilled employees in the
machine trades and related occupations. Presentation
of concepts and their solutions is immediately followed
by realistic industry-related applications. The applications progress from the simple to those whose solutions are relatively complex. The contents of this
text range from general arithmetic processes to complex right and oblique triangle applications, compoundangle problems, and computer numerical control. An
understanding of mathematical concepts through realistic trade applications is stressed in all topics presented.
Many students have a tendency to forget a concept
if it is not used frequently. To help students retain an
idea, most sets of exercises begin with six “Tooling Up”
exercises that use concepts from earlier units. These
“Tooling Up” exercises are in each unit except for Unit
1 and the nine Achievement Review units at the end of
each section.
Throughout the text, the student is required to
work with illustrations, tables, and charts such as those
found in machine trade handbooks and on engineering
drawings. Student activities are similar to those actually required on the job. In Section I—Common Fractions and Decimal Fractions, general arithmetic processes are presented with many practical applications.
Section 2—Ratio, Proportion, and Percentage, is
next presented in order to provide a unified approach
to teaching percent and to lay a foundation for unit
conversion and unit analysis.
Following these first two sections, both customary
and metric units of measure are presented in the topics, examples, and problems. Upon completion of the
text, students should be equally familiar and proficient
with both systems of measure as they relate to machine trade applications. An ample number of customary and metric problems are given. Content may be
selected and problems assigned based on the degree of
emphasis to be placed on each system.
The scientific calculator is introduced in the Preface. Further instruction and examples are given
throughout the text wherever calculator applications
are appropriate to the material presented. Calculator
information and sequencing in examples and practical
applications have been updated and expanded in this
editon. The use of the calculator is left as an option to
the instructor. Naturally, students may be permitted
to solve problems using calculators at the discretion of
the instructor. The individual instructor is best able
to identify student needs and the computational skills
developed with his/her unique group of students.
Section 3—Linear Measurement: Customary (English) and Metric was developed to enable students
to use customary and metric units with equal facility
when computing tolerances, clearances, and interferences. A unit was added on metric calipers and height
gages and a unit was added on metric micrometers.
Because electronic, digital instruments are replacing
hand-read/analog instruments, two units were added
to acquaint student with using electronic, digital instruments. One unit was added on digital calipers and
height gages and a unit was added on digital micrometers.
The content in Section 4—Fundamentals of Algebra was selected and developed to provide the learner
an adequate base for working with handbook formulas
and for subsequent computations required in practical
geometry and trigonometry applied problems. The algebra concepts presented are those actually needed for
the vast majority of situations encountered on the job.
Therefore, concepts such as types of factoring, complex fractional equations, systems of equations, and
quadratic equations were purposely excluded from the
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