Shop Essentials (Applied Mathematics)

Machine shop employees need essential skills to perform their duties. Careful interpretation, use, and analysis of numbers and drawings help create and maintain an efficient manufacturing process.

These classes will explain essential skills required in today’s machine shop. The content is for individuals who need to maintain and acquire fundamental manufacturing skills. Content covers math, drawings, and manufacturing processes for all levels of the shop.


Class Functional Area Format Difficulty Version Department
123
Classes 1 to 10 of 22
Math Fundamentals 101

The class Math Fundamentals covers basic arithmetic operations, including addition, subtraction, multiplication, and division. Additionally, it introduces the concept of negative numbers and integers. The class concludes with an overview of the order of operations and grouping symbols.Basic mathematical operations ...

Related 1.0 Class:
Math: Fundamentals 100
Foundational Online Beginner 2.0 Shop Essentials (Applied Mathematics)
Applied and Engineering Sciences 110

This class provides an overview of the key concepts of physics and works through practical mathematic application.

Foundational Online Beginner 1.0 Shop Essentials (Applied Mathematics)
Math: Fractions and Decimals 111

Math: Fractions and Decimals provides the methods used to perform basic mathematical operations using fractions, decimals, and percentages. The class covers addition, subtraction, multiplication, and division with fractions and decimals. It also discusses conversions between fractions, decimals, mixed numbers, and ...

Related 1.0 Class:
Math: Fractions and Decimals 105
Foundational Online Beginner 2.0 Shop Essentials (Applied Mathematics)
Units of Measurement 112

The class Units of Measurement provides a thorough explanation of the English and Metric systems and how conversion between them occurs. The common base units of measurement are length, area, volume, mass, and temperature. The English system uses inches, feet, ...

Related 1.0 Class:
Math: Units of Measurement 115
Foundational Online Beginner 2.0 Shop Essentials (Applied Mathematics)
Manufacturing Process Applications: Part I 124

This class introduces common metal shaping operations, including sheet and bulk metal processes, extrusion, forging, casting, and powder metallurgy.

Foundational Online Beginner 1.0 Shop Essentials (Applied Mathematics)
Manufacturing Process Applications: Part II 125

This class will introduce you to common finishing and coating processes, printed circuit board fabrication, and common material handling methods.

Foundational Online Beginner 1.0 Shop Essentials (Applied Mathematics)
Algebra Fundamentals 141

Math: Algebra Fundamentals provides a detailed overview of the basics of algebra, including the operations needed to solve a single variable equation. Basic algebra is used constantly in manufacturing, from the production floor to the accounting department.Any time a number ...

Related 1.0 Class:
Shop Algebra Overview 200
Foundational Online Beginner 2.0 Shop Essentials (Applied Mathematics)
Geometry: Lines and Angles 151

The class Geometry: Lines and Angles discusses the basic building blocks of all geometry: the line and the angle. Every print used in manufacturing is composed of lines and angles which must be interpreted to manufacture the depicted part. Though ...

Related 1.0 Class:
Geometry: Lines and Angles 155
Foundational Online Beginner 2.0 Shop Essentials (Applied Mathematics)
Geometry: Triangles 161

The class Geometry: Triangles discusses triangles and the specific mathematical operations unique to them. While the triangle is a very basic shape, it can be found as a part of more complex shapes. Triangles are often used as the basic ...

Related 1.0 Class:
Geometry: Triangles 165
Foundational Online Beginner 2.0 Shop Essentials (Applied Mathematics)
Shop Geometry Overview 170

This class presents a general overview and refresher for the the most common rules of geometry.

Foundational Online Beginner 1.0 Shop Essentials (Applied Mathematics)
FormatFunctional AreaDepartment IDDepartmentClass IDClass NameDescriptionDifficultyVersionLanguageRelated Classes
OnlineFoundational800Shop Essentials (Applied Mathematics)120010 Math Fundamentals 101 The class Math Fundamentals covers basic arithmetic operations, including addition, subtraction, multiplication, and division. Additionally, it introduces the concept of negative numbers and integers. The class concludes with an overview of the order of operations and grouping symbols.Basic mathematical operations are the foundations upon which all math relies. Mastery of these foundational tasks will ease a student into more complicated mathematics, such as algebra and geometry, both of which are commonly used in a variety of manufacturing environments.Beginner2.0English(800100) Math: Fundamentals 100
OnlineFoundational800Shop Essentials (Applied Mathematics)912110 Applied and Engineering Sciences 110 This class provides an overview of the key concepts of physics and works through practical mathematic application.Beginner1.0English
OnlineFoundational800Shop Essentials (Applied Mathematics)120015 Math: Fractions and Decimals 111 Math: Fractions and Decimals provides the methods used to perform basic mathematical operations using fractions, decimals, and percentages. The class covers addition, subtraction, multiplication, and division with fractions and decimals. It also discusses conversions between fractions, decimals, mixed numbers, and improper fractions.Almost any manufacturing print uses fractions and decimals in its measurements. Knowing how to handle these numbers and convert between them is an essential part of the basic skills needed to work in a manufacturing environment.Beginner2.0English(800105) Math: Fractions and Decimals 105
OnlineFoundational800Shop Essentials (Applied Mathematics)120020 Units of Measurement 112 The class Units of Measurement provides a thorough explanation of the English and Metric systems and how conversion between them occurs. The common base units of measurement are length, area, volume, mass, and temperature. The English system uses inches, feet, yards, and miles to measure length, while the Metric system uses the meter, millimeter, centimeter, and kilometer. Metric conversion requires simply knowing the equivalent number of units and moving the decimal point accordingly. When converting between Metric and English units, use a reference chart, multiply, or divide, depending on the conversion. Units of measurement are used every day in a production environment. Converting between units is often required, especially for businesses dealing internationally. After taking this class, users should be able to perform calculations involving common English units, metric units, and conversions between the two systems.Beginner2.0English(800115) Math: Units of Measurement 115
OnlineFoundational800Shop Essentials (Applied Mathematics)912120 Manufacturing Process Applications: Part I 124 This class introduces common metal shaping operations, including sheet and bulk metal processes, extrusion, forging, casting, and powder metallurgy.Beginner1.0English
OnlineFoundational800Shop Essentials (Applied Mathematics)912125 Manufacturing Process Applications: Part II 125 This class will introduce you to common finishing and coating processes, printed circuit board fabrication, and common material handling methods.Beginner1.0English
OnlineFoundational800Shop Essentials (Applied Mathematics)120050 Algebra Fundamentals 141 Math: Algebra Fundamentals provides a detailed overview of the basics of algebra, including the operations needed to solve a single variable equation. Basic algebra is used constantly in manufacturing, from the production floor to the accounting department.Any time a number is unknown, algebra can be used to determine that missing value. Although algebra uses the same basic operations as other mathematics, there are several new operations used to find missing variables in problems. After taking this class, users will be able to simplify, factor, and balance basic equations, as well as calculate for missing values in equations with only one variable. The user will also be able to use algebra to create an equation based on a simple story problem.Beginner2.0English(800200) Shop Algebra Overview 200
OnlineFoundational800Shop Essentials (Applied Mathematics)120060 Geometry: Lines and Angles 151 The class Geometry: Lines and Angles discusses the basic building blocks of all geometry: the line and the angle. Every print used in manufacturing is composed of lines and angles which must be interpreted to manufacture the depicted part. Though part geometry can be incredibly complex, all geometric prints can be broken down into simpler lines and angles. The relationships between the various angles formed when lines intersect can be used to solve geometry problems and interpret blueprints. An understanding of lines and angles is fundamental to learning and applying geometry as well as trigonometry and calculus. After taking this class, users should have a grasp on the types of lines and angles used in geometry, the angles that are formed by intersecting lines, and tranversals. An understanding of the basics of geometry is necessary in various fields including inspection, part program applications, and other important areas of manufacturing.Beginner2.0English(800155) Geometry: Lines and Angles 155
OnlineFoundational800Shop Essentials (Applied Mathematics)120063 Geometry: Triangles 161 The class Geometry: Triangles discusses triangles and the specific mathematical operations unique to them. While the triangle is a very basic shape, it can be found as a part of more complex shapes. Triangles are often used as the basic shapes that compose three-dimensional CAD designs. Right triangles also form the basis of trigonometry. Since triangles are so commonly used, an understanding of the types of triangles and the methods for calculating missing information from them is essential to users.After taking this class, users will be able to categorize triangles by their sides and angles, calculate missing angles based on the measurements of other angles, and determine the area of a triangle.Beginner2.0English(800165) Geometry: Triangles 165
OnlineFoundational800Shop Essentials (Applied Mathematics)800170 Shop Geometry Overview 170 This class presents a general overview and refresher for the the most common rules of geometry.Beginner1.0English
OnlineFoundational800Shop Essentials (Applied Mathematics)120065 Geometry: Circles and Polygons 171 Geometry: Circles and Polygons covers the specifics of geometry involving circles and polygons with any number of sides. The class includes a discussion on the internal angles of a circle as well as the method to calculate the circumference and area of a circle. Additionally, this class covers the calculation of missing angles in any polygonCircles and polygons, along with triangles, are the basic building blocks of any geometric figure. Knowledge of the calculations and uses of circles and polygons can prove useful when working with prints in any number of manufacturing capacities.Beginner2.0English(800185) Geometry: Circles and Polygons 185
OnlineFoundational800Shop Essentials (Applied Mathematics)120070 Trigonometry: The Pythagorean Theorem 201 Trigonometry: The Pythagorean Theorem provides an explanation of the Pythagorean theorem and how it is used to solve various math problems involving and using right triangles. The class covers the use of powers and roots and the process that is used to solve for unknown dimensions on blueprints.The Pythagorean theorem is used to solve for the lengths of sides of right triangles. To find missing measurements in a print with a right angle, manufacturers can find or create right triangles and use the Pythagorean theorem. After taking this class, users will be able to use the Pythagorean theorem to calculate missing lengths in right triangles and solve for missing dimensions on various types of blueprints by utilizing right triangles where appropriate.Beginner2.0English(800205) Trig: Pythagorean Theorem 205
OnlineFoundational800Shop Essentials (Applied Mathematics)800210 Shop Trig Overview 210 This class presents a general overview and refresher for the rules of trigonometry.Intermediate1.0English
OnlineFoundational800Shop Essentials (Applied Mathematics)120073 Trigonometry: Sine, Cosine, Tangent 211 The class Trigonometry: Sine, Cosine, and Tangent discusses the three basic ratios that are the basis for trigonometry. Trigonometry is based on the specific relationships between the sides and angles of right triangles. Using trigonometry, a person can determine the missing angle and side measurements of a right triangle based on the information present in a drawing. Although solving trigonometric ratios often requires a calculator, users must know which ratios to apply to a particular problem and how to calculate them. In situations where parts are being manufactured, this knowledge is crucial to effective production of parts that require specific dimensions and angles.After taking this class, a user should be able to define the various trigonometric ratios, and use them to solve various problems, including calculating a taper angle on a print.Beginner2.0English(800215) Trig: Sine, Cosine, and Tangent 215
OnlineFoundational800Shop Essentials (Applied Mathematics)120075 Trigonometry: Sine Bar Applications 221 Trigonometry: Sine Bar Applications discusses sine bars and the trigonometry required to use them. Sine bars are used when an angle needs to be machined, measured, or inspected. Sine bars are used with gage blocks to set a workpiece at an angle. To find the necessary measurements for the gage blocks or the sine bar angle, trigonometric ratios are used. These ratios include sine, cosine, and tangent. Gage pins are sometimes used with sine bars and gage blocks to increase the range of measurements.After taking this class, a user should be able to make the necessary calculations for setting up a specific workpiece angle using a sine bar.Beginner2.0English(800225) Trig: Sine Bar Applications 225
OnlineFoundational800Shop Essentials (Applied Mathematics)800230 Interpreting Blueprints 230 This class provides an overview of common features found in prints and describes how to properly inspect them. Includes an Interactive Lab.Intermediate1.0English
OnlineFoundational800Shop Essentials (Applied Mathematics)120080 Statistics 231 Statistics provides a good overview of the various terms and methods commonly used for statistical analysis. In modern manufacturing, statistics are used as part of continuous improvement methods to analyze the data gathered during inspections to determine the quality of a product and examine the processes used to make it.Every person in a manufacturing environment should have an awareness of what statistical terminology and be able to use statistical concepts in the workplace. After taking this class, a user will be able to calculate the mean, median, and mode for a set of data. The user will also be able to explain the difference between natural and unnatural variation, the use histograms and bell curves, and the meaning of standard deviation.Beginner2.0English(800220) Statistics 220
OnlineFoundational800Shop Essentials (Applied Mathematics)800310 Concepts of Calculus 310 This class covers the basic concepts of calculus.Advanced1.0English
Instructor-LedFoundational800Shop Essentials (Applied Mathematics)915103 GD&T To better define a product, geometric dimensioning and tolerancing (GD&T) is often used as a symbolic way of showing specific tolerances on drawings. GD&T is a valuable language that communicates the design intent to manufacturing and inspection. It is governed by the technical standard ASME Y14.5-2009. This course covers all aspects of GD&T. In addition to learning the theory, participants will see numerous examples that demonstrate specific applications. Participants are welcome to bring sample prints to the class for discussion or private consultation.  English
Instructor-LedFoundational800Shop Essentials (Applied Mathematics)915108 Print Reading Engineering drawings (often still called blueprints) are the means of communicating the necessary requirements of a product or assembly. While much of a drawing is devoted to the different visual views, there is a great deal of other information to understand. This one-day course covers the basic areas of interpreting mechanical drawings, from the details found in a title block to the meaning of different line types to a proper method for visualizing a part from the two-dimensional images. Participants will also learn how to interpret dimensions and tolerances, and review several sample drawings throughout the day.  English
Instructor-LedFoundational800Shop Essentials (Applied Mathematics)915104 GD&T Overview Geometric dimensioning and tolerancing (GD&T) is a three-dimensional international engineering language used by design, production, and engineering staff. Proper interpretation and application of the language may mean the difference between quality products with excellent cycle time or defective products and extended time to market. This course will provide an overview on the general concepts of GD&T, the benefits of its use, and the cost of implementation.  English
Instructor-LedFoundational800Shop Essentials (Applied Mathematics)915102 GD&T for DFM This course will show how a product's functional requirements are converted into designs which have the highest level of functionality, manufacturability, and assembly, but at the lowest cost. This will be accomplished by integrating many different support tools, the most important of which is geometric dimensioning and tolerancing (GD&T). GD&T will be demonstrated as the only tool which has the versatility to convey functionality, design intent, fixturing requirements, and verification techniques, making it the only common language uniting designers, manufacturing engineers, and quality control personnel.  English