This page contains links to **notes**, **equation sheets**, and **recommended exercises** for topics in elementary engineering mathematics. The material covers the **application** of **mathematics** to introductory engineering problems. Topics include mechanical and electrical engineering applications using **algebra** and **trigonometry**, **vectors**, **sinusoids** and **harmonic functions**, **systems of equations** and **matrices**,** simple derivatives** and

**integrals**, and

**simple linear differential equations**.

**The course material is intended to help students:**

- Learn to apply mathematics in the solution of introductory engineering problems
- Learn how mathematics is used throughout their engineering curriculum
- Strengthen their basic mathematical skills

These course materials were developed based on EGR 101 Introductory Mathematics for Engineering Applications; a course taught at Wright State University. EGR 101 was developed under a Course, Curriculum and Laboratory Improvement (CCLI) grant from the National Science Foundation (NSF). In Phase 3 of this project entitled “A National Model for Engineering Mathematics Education,” similar courses were developed and taught in engineering programs at various universities.

**Notes**

**Applications of Algebra**

**Applications of Two-Dimensional Vectors**

Application of 2D Vectors in Statics, Mechanics of Materials, Elementary Dynamics

**Application of Complex Numbers**

**Applications of Systems of Equations and Matrices**

**Applications of Harmonic and Exponential Functions**

- Exponential and Natural Logarithm Functions
- Sine and Cosine Functions of Time
- Application of Sine, Cosine, and Exponential Functions in Control Systems
- Application of Sine and Cosine Functions in Electrical Engineering

**Applications of Derivatives**

- Introduction to Derivative of a Function
- Derivatives of Functions as Functions
- Application of Derivatives in Statics, Mechanics of Materials
- Application of Derivatives in Electrical Engineering

**Applications of Integrals**

- Introduction to Integrals of Functions
- Integrals of Functions as Functions
- Application of Integration in Elementary Dynamics
- Application of Integration in Statics, Mechanics of Materials
- Application of Integration in Electrical Engineering

**Applications of Differential Equations**

Introduction to Differential Equations in Mechanical Engineering

**Equation Sheets**

- Algebra and Trigonometry
- Vectors and Complex Numbers
- Systems of Equations and Exponential, Sine, and Cosine Functions
- Spring-Mass-Damper Systems
- Electric Circuits
- Derivatives and Differentiation
- Integrals and Integration
- Differential Equations for Spring-Mass-Damper Systems

**Exercises**

- Algebra – Lines (Answers)
- Algebra – Quadratic Equations (Answers)
- Geometry/Trigonometry (Answers)
- Two-Dimensional Vectors (Answers)
- Complex Numbers (Answers)
- Two-Dimensional Vectors & Simultaneous Equations (Answers)
- Exponential, Natural Log, and Trigonometric Functions (Answers)
- Derivatives #1 (Answers)
- Derivatives #2 (Answers)
- Integrals (Answers)