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Welcome to the England University page. The goal of this resource is to provide example driven content for all courses related to the engineering disciplines. It is currently a work in progress and will continue in that fashion. The contributors to this work consist of myself and those hard working students of mine who have dedicated their time and energy to help add content over the years.

Because of the volunteer basis of the work force, please be forgiving/constructive when it comes to omissions, typos and the like. It is important to reiterate that this is a work in progress. The goal is to provide an easy to read / follow description of individual lectures for the engineering disciplines. The primary emphasis will be examples provided at the end of each section. Many mathematical texts are structured in the standard rigorous form of, Definition, Proof, Corollary, etc... Given the goal of this work, that will be neglected for now and more rigor will be added in future revisions for structure.

Current Status: Refining Differential Equations

The work put forth on this site is slow but in constant progress. As mentioned previously, is done by volunteers and as such, may contain omissions, errors. Please let us know if you have any suggestions. All suggestions should be directed to, TheEnglandUniversity@gmail.com.

Please be as explicit and detailed as you can with regard to identification of typos, errors, etc..

Example: In MAT 275, Section 2.4, Example Section, Problem 7, third line down, there is a missing integral limit / comma / variable / sign / etc...

If you are looking for some finished / polished Calculus specific resources I strongly encourage you to go to the following sites.

Paul's Online Math Notes http://tutorial.math.lamar.edu/

Kahn Academy https://www.khanacademy.org/

And with very little searching I am confident you can find others.

Mathematics

Active Content:

The following content for differential equations was put together a year ago. It is relatively complete with regard to lectures, content, and examples.

• MAT 275: Modern Differential Equations (First Revision)

The following link is to the second iteration. The goal here will be to make an all encompassing resource for differential equations that goes further than the standard text and includes more MATLAB. For example, Numerical Techniques beyond RK, brief overview of PDEs and separation of variables, more time spent on linearization, and more engineering examples. I will make notes next to each subsection heading to indicate if I feel it is finished enough such that it would be worth reading further.

• MAT 275: Modern Differential Equations B (Second Revision)

Somewhat Active Content:

The following three courses have example problems and lecture content for most sections, however, there are missing sections and examples towards the latter end of the course. Additionally, the example problems were uploaded / modified by students and these are very preliminary first iterations. If you notice any errors, please let us know. As it stands I am not teaching these courses this semester and therefore have no plans to revise them. Revisions will most likely come over the Summer / Fall of 2019.

• MAT 242: Elementary Linear Algebra (In Progress)
• MAT 266: Calculus II for Engineers (Old)
• MAT 266: Calculus II for Engineers (New)
• MAT 267: Calculus III for Engineers (In Progress)

Delayed Content

• Differential Calculus Differentiation (No content yet)

Physical Sciences

• University Physics Mechanics (No content yet)
• University Physics Electricity & Magnetism (No content yet)
• Chemistry (No content yet)

Engineering Mechanics

• Statics (No content yet)
• Dynamics (No content yet)
• Deformable Solids (No content yet)

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