1. Welcome to the Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals

2. Real-World Example Related to Topic! Electrical engineers commonly use: Electrical signals (e.g., waveforms) Electrical equipment and instrumentation (e.g., oscilloscope) Car Amplifier and Concert Audio Equipment

3. Today's Learning Objectives  After today's lab, students will be able to: 1.Discuss the properties of sinusoids 2.Describe the relationships between sinusoid characteristics 3.Explain sinusoidal addition 4.Use a function generator 5.Obtain measurements using an oscilloscope

4. Sinusoidal Relationships

5. New Equipment  Inductors  Capacitors  Function Generator  Oscilloscope  Data Acquisition System

6. Oscilloscope

7. Reading a Circuit Diagram

8. MATLAB  Functions (e.g., “sqrt”)  Plotting Multiple graphs  Commands (e.g., “hold on”) Line specifiers Legend

9. Important Takeaways  Essential to Engineers: Algebra Linear and quadratic equations Sinusoidal relationships Frequency, period, time shift Electrical equipment and instrumentation Capacitors Inductors Function Generator Oscilloscope Technical Computing  MATLAB

10. Preview of Next Lab  Systems of Equations in Engineering: The Two- Loop Circuit Matrices Cramer’s Rule