1. Welcome to the Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 1 – Application of Algebra in Engineering: The One-Loop Circuit

2. Real-World Example Related to Topic! Electrical engineers commonly use: Fundamental laws of electricity Electrical equipment and instrumentation Smartphone Circuit Board

3. Today's Learning Objectives  After today's lab, students will be able to: 1.Perform basic algebraic manipulations with linear equations. 2.Perform basic algebraic manipulations with quadratic equations. 3.Measure and understand the relationship between voltage, current, and resistance. 4.Apply basic functions in MATLAB toward the solution of engineering equations using the command window. 5.Use MATLAB for plotting data.

4. Fundamental Laws  Ohms’ Law: V R = IR  Kirchhoff’s Voltage Law: ∑Voltage Rises = ∑Voltage Drops V S = V R = IR

5. Equipment  Breadboard  Resistors  Ammeter  Voltmeter  Watt-meter

6. Reading a Circuit Diagram

7. Wattmeter Demonstration

8. MATLAB  Arrays  Defining Variables  Plotting

9. Important Takeaways  Essential to Engineers: Algebra Linear and quadratic equations Fundamental laws of electricity Ohm’s Law (voltage, current, resistance) Kirchhoff’s Law Electrical equipment and instrumentation Breadboard Resistors Technical Computing MATLAB

10. Preview of Next Lab  Trigonometric Relationships: One and Two-Link Planar Robots Reference Angle Law of Cosines