EGR 1010 is a 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)

### Class Materials

- Introductory Mathematics for Engineering Application, 1st Edition
- MATLAB: An Introduction with Applications, 5th Edition

### Sample Materials

(Updated 12/16/15)

#### Course Info

#### Lecture Notes

**Week 1**

- Straight Lines in Engineering (PDF)
- Quadratic Equations in Engineering (PDF)
- Algebra and Geometry Handout (PDF)

**Week 2**

**Week 3**

**Week 4**

**Week 5**

**Week 6**

**Week 7**

- Introduction to Derivatives in Engineering (PDF)
- Derivatives in Dynamics (PDF)
- Derivatives Handout (PDF)

**Week 8**

#### 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:

- Matlab: Introduction (Video)
- Matlab: Vector Math (Video)
- Matlab: Plotting (Video)
- Matlab: Matrix Operations(Video)
- Matlab: If...Else Statements (Video)
- Matlab: Function Files (Video)
- Matlab: Sybolics (Video)
- Matlab: Additional Functions (Video)

#### Laboratory Assignments

There are 8 hands-on lab assignments that supplement the course material. Additionally, there are 4 matlab assignments that illustrate a more application based approach to coding.

- 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
- Matlab Supplemental #1: Flight Control System Analysis
- Matlab Supplemental #2: Deflection of Truss Analysis
- Matlab Supplemental #3: Derivative Visualization - Slope at a Point
- Matlab Supplemental #4: Airplane Wing Loads - Bending and Shear Stress

#### Exams