Occupations like those of machinists, tool and die
makers, pattern makers, drafters, and designers require a
fundamental knowledge of general math as well as of more advanced
topics like oblique trigonometry, compound angles, and numerical
control.
The author effectively combines math concepts with
the relevant machine applications so that readers fully understand
the value of what they are learning. Industry-specific examples,
realistic illustrations, and actual applications further enhance the
theory-to-application connection.
Preface.
COMMON FRACTIONS & DECIMAL FRACTIONS: Introduction to
Common Fractions & Mixed Numbers. Addition of Common Fractions &
Mixed Numbers. Subtraction of Common Fractions & Mixed Numbers.
Multiplication of Common Fractions & Mixed Numbers. Division of
Common Fractions & Mixed Numbers. Combined Operations of Common
Fractions & Mixed Numbers. Introduction to Decimal Fractions.
Rounding Decimal Fractions & Equivalent Decimal & Common
Fractions. Addition & Subtraction of Decimal Fractions.
Multiplication of Decimal Fractions. Division of Decimal
Fractions. Powers. Roots. Table of Decimal Equivalents & Combined
Operations of Decimal Fractions. Introduction to Electronic
Calculations. Achievement Review - Section 1.
LINEAR MEASUREMENT: ENGLISH & METRIC: English & Metric
Units of Measure. Degree of Precision & Greatest Possible Error.
Tolerance, Clearance, & Interference. English & Metric Steel
Rules. English Vernier Calipers & Height Gages. Metric Vernier
Calipers & Height Gages. English Micrometers. Metric Micrometers.
English & Metric Gage Blocks. Achievement Review - Section 2.
FUNDAMENTALS OF ALGEBRA: Symbolism. Signed Numbers. Algebraic
Operations of Addition, Subtraction, & Multiplication. Algebraic
Operations of Division, Powers, & Roots. Introduction to
Equations. Solution of Equations by the Subtraction, Addition, &
Division Principles of Equality. Solution of Equations by the
Multiplication, Root & Power Principles of Equality. Solution of
Equations Consisting of Combined Operations & Rearrangement of
Formulas. Ratio & Proportion. Direct & Inverse Proportions.
Applications of Formulas to Cutting Speed, Revolutions Per Minute,
& Cutting Time. Applications of Formulas to Spur Gears.
Achievement Review - Section 3.
FUNDAMENTALS OF PLANE GEOMETRY: Introduction to
Geometric Figures. Protractors - Simple & Caliper. Angles.
Introduction to Triangles. Geometric Principles for Triangles &
Other Common Polygons. Introduction to Circles. Arcs & Angles of
Circles. Fundamental Geometric Constructions. Achievement Review -
Section 4.
GEOMETRIC FIGURES, AREAS AND VOLUMES: Achievement Review
- Section 5
TRIGONOMETRY: Introduction to Trigonometric Functions.
Analysis of Trigonometric Functions. Basic Calculations of Angles
& Sides of Right Triangles. Simple Practical Machine Applications.
The Cartesian Coordinate System. Oblique Triangles: Law of Sines &
Law of Cosines. Achievement Review - Section 6.
COMPOUND ANGLES: Introduction to Compound Angles.
Drilling & Boring Compound-Angular Holes: Computing Angles of
Rotation & Tilt Using Given Lengths. Drilling & Boring
Compound-Angular Holes: Computing Angles of Rotation & Tilt Using
Given Angles. Machining Compound-Angular Surfaces: Computing
Angles of Rotation & Tilt. Computing Compound Angles Made by the
Intersection of Two Angular Surfaces. Computing Compound Angles on
Cutting & Forming Tools. Achievement Review - Section 7.
COMPUTER NUMERICAL CONTROL: (CNC) Introduction to
Computer Numerical Control.
Control Systems, Absolute Positioning. Incremental Positioning.
Binary Numeration System. Achievement Review - Section 8.
Appendix. Answers to Odd-Numbered Applications.
Index.