# Engineering Mathematics (EGR 1010) Topics and Materials

EGR 1010 is an applied mathematics course taught by the College of Engineering and Computer Science faculty, consisting of lecture, lab, and recitation. All topics are driven by engineering applications taken directly from core engineering courses. The lectures are motivated by hands-on laboratory exercises including a thorough integration with Matlab.

## Topics

• Basic Algebraic Manipulations (1.0 weeks)
• Trigonometry (1.0 weeks)
• 2-D Vectors (1.0 weeks)
• Complex Numbers (1.0 weeks)
• Sinusoids & Harmonic Signals (1.0 weeks)
• Matrices & Systems of Equations (1.0 weeks)
• Basics of Differentiation (3.0 weeks)
• Basics of Integration (3.0 weeks)
• Differential Equations (3.0 weeks)

## Sample Materials

(Updated 01/07/2021)

### Homework

Homework is assigned on a weekly basis from the course textbook (5-6 problems) and the course programming book (3-4 problems).

The following topics are covered in this class:

### Laboratory Assignments

There are 8 hands-on lab assignments that supplement the course material. Additionally, there are 4 self guided Matlab supplemental assignments that illustrate a more application-based approach to coding. The labs below are written as if students are in the lab with equipment. The virtual labs mimic what is done in-person and can be used in lieu of the hands-on labs. As such, while the lab requirements remain unchanged between both the hands-on and virtual labs, the procedures may differ. The included videos below outline the step-by-step process for the virtual labs.

#### Lab #1

Application of Algebra in Engineering - The One Loop Circuit

#### Lab #2

Trigonometry Relationships - One and Two Link Planar Robots

#### Lab #3

Sinusoids in Engineering - Measurement and Analysis of Harmonic Signals

#### Lab #4

Systems of Engineering - The Two Loop Circuit

#### Lab #5

Derivatives in Engineering - Velocity and Acceleration in Free Fall

#### Lab #6

Integrals in Engineering - Work and Stored Energy in a Spring

#### Lab #7

Differential Equations in Engineering - The Leaking Bucket

#### Lab #8

Differential Equations in Engineering - Spring Mass Vibration