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MEC 105
Term 1
3 credits

Technical Mathematics for Automation

MEC 105 equips aspiring automation technicians with the critical mathematical skills necessary for understanding, operating, and maintaining complex electromechanical systems. The curriculum systematically builds upon foundational algebra, progressing through advanced algebraic techniques, geometry, and trigonometry, before delving into vector mathematics. A strong emphasis is placed on unit analysis and conversions, crucial for accuracy in technical applications. Through a blend of theoretical instruction, practical examples, and hands-on laboratory exercises, students will develop the ability to interpret technical specifications, troubleshoot system anomalies, and perform precise calculations related to mechanical motion, forces, and power. This course is designed to foster analytical thinking and computational accuracy, directly applicable to real-world automation scenarios, preparing students for immediate professional impact.

InstructorJacob Calhoun

Course outline

Lectures, virtual labs, and graded assignments — completed in your browser.

01Lesson 1: Review of Algebraic Fundamentals and Operationslecture
02Lesson 2: Solving Linear Equations and Inequalitieslecture
03Lesson 3: Introduction to Functions and Graphinglecture
04Hands-on Lab: Measurement and Unit Conversionlab
05Lesson 5: Introduction to Geometry and Dimensional Analysislecture
06Lesson 6: Basics of Right-Angle Trigonometrylecture
07Lesson 7: Non-Right Triangle Trigonometry and Applicationslecture
08Hands-on Lab: Geometric and Trigonometric Problem Solvinglab
09Lesson 9: Introduction to Vectors and Scalar Quantitieslecture
10Lesson 10: Vector Addition and Subtraction (Graphical and Analytical)lecture
11Hands-on Lab: Vector Components and Resultantslab
12Lesson 12: Applied Trigonometry in Mechanical Systemslecture
13Lesson 13: Advanced Vector Applications in Force and Motionlecture
14Capstone Service Project: Analyzing a Mechanical Systemassignment

Syllabus

["Week 1: Lesson 1: Review of Algebraic Fundamentals and Operations","Week 2: Lesson 2: Solving Linear Equations and Inequalities","Week 3: Lesson 3: Introduction to Functions and Graphing","Week 4: Hands-on Lab: Measurement and Unit Conversion","Week 5: Lesson 5: Introduction to Geometry and Dimensional Analysis","Week 6: Lesson 6: Basics of Right-Angle Trigonometry","Week 7: Lesson 7: Non-Right Triangle Trigonometry and Applications","Week 8: Hands-on Lab: Geometric and Trigonometric Problem Solving","Week 9: Lesson 9: Introduction to Vectors and Scalar Quantities","Week 10: Lesson 10: Vector Addition and Subtraction (Graphical and Analytical)","Week 11: Hands-on Lab: Vector Components and Resultants","Week 12: Lesson 12: Applied Trigonometry in Mechanical Systems","Week 13: Lesson 13: Advanced Vector Applications in Force and Motion","Week 14: Capstone Service Project: Analyzing a Mechanical System"]