## I. General Information

1. Course Title:

Applied Mathematics

2. Course Prefix & Number:

MATH 1500

3. Course Credits and Contact Hours:

**Credits:** 3

**Lecture Hours:** 3

**Lab Hours:** 0

4. Course Description:

Applied Mathematics is designed to be an integral part of a learning community with specific technical programs. This course is specialized for Diesel and Heavy Equipment Technology, Marine and Small Engine Technology, Manufacturing Welding, and Machine Tool Technology. The common topics will include reading measurement devices, manipulation of formulas for specific industry needs, geometric calculations, and small business math with tax implications. Other topics are dependent on program needs and could include applications in hydraulics, trigonometry, electronics, blueprints, tolerancing, angular and gear calculations.

5. Placement Tests Required:

6. Prerequisite Courses:

MATH 1500 - Applied Mathematics

There are no prerequisites for this course.
8. Prerequisite (Entry) Skills:

Students must be able to perform basic math skills involving fractions, decimals, and percentages. Students who need to refresh these skills will be referred to an ABE program.

9. Co-requisite Courses:

MATH 1500 - Applied Mathematics

There are no corequisites for this course.
## II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

3. Prior Learning - the following prior learning methods are acceptable for this course:

Written

## III. Course Purpose

1. Program-Applicable Courses – This course is required for the following program(s):

Machine Tool Technology - Diploma, AAS

Diesel & Heavy Equipment Technology - Diploma, AAS

Marine and Small Engine Technology - Diploma

Manufacturing Welding - Diploma

3. Other - If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:

Non-Transferrable General Education Course

## IV. Learning Outcomes

1. College-Wide Outcomes

College-Wide Outcomes/Competencies |
Students will be able to: |

Analyze and follow a sequence of operations |
Demonstrate ability to use concrete, sequential reasoning to solve industry-related problems. |

Apply abstract ideas to concrete situations |
Apply theoretical ideas to application problems. |

Utilize appropriate technology |
Use appropriate technology for measurement and problem-solving. |

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

- Use manufacturing terminology as it is related to mathematics;
- Demonstrate ability to use appropriate measurement devices accurately;
- Calculate necessary blueprint dimensions;
- Apply mathematical concepts to perform calculations;
- Identify & use industry-specific formulas appropriately;
- Use technology to investigate business options;
- Identify points of tangency;
- Apply geometric concepts to industry-related problems;
- Apply trigonometric functions for machine set-up;
- Work both independently and in groups to complete projects.

## V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

The topics for each class are selected by the program advisory board and instructors and are chosen from the following outline.

- Calculator Usage
- Familiarization with CASIO fx-115MS functions

- Measurement
- Measurement systems / conversions
- Outside Metric micrometers
- Outside & Inside English micrometers [Vernier]
- Depth micrometers
- Steel Ruler

- Industry Formulas [Algebraic Review]
- Torque Wrench Adaptors
- Hydraulics
- Actuation Speeds
- Speeds & Feeds Calculations
- Spur Gear Formulas
- Force / Pressure / Area Applications
- Ratio & Proportion
- Tapering
- Gear ratios
- Differential / compression / transmission
- Total Gear Reduction
- Threads / Pitch / Lead

- Blueprints
- Identify dimension lines and significance
- Finding missing dimensions
- Tolerancing: Clearance & Interference
- Find I & J points utilizing Cartesian coordinates
- Identify points of tangency

- Geometry
- Angular systems and converting between
- Areas and Volumes
- Triangular Measure
- Pythagorean Theorem w/ Applications
- Angular Measurement
- TDC / BDC, Intake, Compression
- Arc Length

- Find length of metal to form part
- Engine timing
- Bending Metal
- Circular Principles
- Cylinder / Engine Displacement

- Trigonometry
- Right Triangle Trigonometric Functions
- Application of trigonometry to blueprints
- Application to Set-Up Process [sine plate]

- Tapering
- Included / Taper Angles
- TPI / TPF Calculations
- Standard Slow Tapers [Brown & Sharpe, Morse, etc]

- Electronics Math
- Identify series, parallel, and series-parallel circuits
- Identify circuit components
- Determine total resistance in each type of circuit
- Use Ohm’s Law
- Use electronics terminology correctly
- Calculate voltage drop at all points in each type of circuit
- Determine current across each resistor

- Small Business Math
- Commissions
- Simple Interest
- Amortization Schedules
- Self-Employment Tax
- Depreciation Issues
- Flat rate vs hourly
- Time systems