We in EnergyBeta provide you information and free downloadson renewable energy and related topics. Our mission is to spread the use of renewable energy in a global scale. We cover topics from general renewable energy concepts to the different types of renewable energy, like solar power, wind power, geothermal power, and ocean energy including tidal power. You can simply browse our articles by following the links to your right. You will also find articles related to different technologies related to alternative energy and some articles on new ideas.
Below is a brief introduction to Renewable Energy and Few Renewable Energy sources.
Click Here to Lean More About Solar Energy
Sun is our main energy source. Solar power will not end, or in another sense, we will not live to see the end of our sun. Solar energy is one of the most important sources of renewable energy. It sends us unimaginable amount of power everyday hidden in its rays.
According to research data currently available, the Sun radiates 174 Petawatts (Pw) of solar energy every day. Out of this roughly 30% of energy is reflected back to space, and another major share is absorbed by our atmosphere. Even if we get only 10% of this energy which is about 17.4 Pw per day, it is still more than the whole daily energy requirement worldwide.
Do you want to learn more about Solar Power? Visit our Solar Power Section. You can also download the Renewable Energy Guide for more information 100% free. This eBook covers the subject of solar energy in more detail.
Click Here to Learn More About Windmills. Download "The Renewable Energy Guide" Free"
Wind energy has been converted to other forms of useful energy, especially mechanical form even long time back. Energy stored in Wind is used to turn a windmill and then to used to grind grains and other stuff.
Unlike solar power, wind energy is always present, day and night alike. This is a very important advantage of using wind power. Wind power is comparatively cheap to produce. It takes little space when compared with solar panels. Today Europe, especially Germany is leading the way in Wind energy.
There are number of ways to use the power of wind. The wind mill is the common choice. Nowadays windmills are almost always used to produce electricity. If you want to learn more about wind energy visit our wind energy archive. Our free eBook renewable energy guide has a complete section on using wind energy. You may download it for free, by following this link.
Click Here to Learn More About HydroPower. Download "The Renewable Energy Guide" Free
Just like Wind Power, people from ancient world knew how to use the power of flowing water to do something useful.
like turning a waterwheel and grinding their grains. Hydropower today though is mainly discussed with electricity generation. There are thousands and thousands of dams built around the world to convert energy stored in water flow into electricity.
Unlike, solar or wind, hydropower is more stabilized. Most countries use hydropower in big scale to produce electricity and achieve some other benefits is create like irrigating the lands and controlling floods. Currently micro hydro plants are gaining in popularity. Small hydroelectric plants are used to power up small communities.
You need higher capital investment to build a hydropower plant though. But hydroelectric plants are very much cost effective to operate in long run. More information about hydropower can be found here on our archive. We have a dedicated section on hydropower in our free eBook the renewable energy guide. You can download this eBook 100% free by following this link.
Learn More About Geothermal Energy. Download "The Renewable Energy Guide" Free
Earth crust is heated and its molten rocks forms lava. This heat is a great energy source. Earth’s heat is available regardless of the place, and it is available 24 hours a day and 7 days a week. This makes geothermal energy a great reliable renewable energy source.
Obviously, building geothermal power plant will cost more, as it is little complex to build. But it works almost on autopilot. Only little maintenance is needed. This makes the operational costs of the plant low.
Iceland is the leader in geothermal energy. Nearly 18% of their energy comes from geothermal while US has a great potential too. You can read more about geothermal energy here. Renewable energy guide contains very informative section on geothermal energy. You can download the eBook 100% free by following this link.
Learn More About Biomass Energy. Download "The Renewable Energy Guide" Free
Biomass is the most commonly used source of renewable energy. Even the ancient man knew how to use wood to cook their food using firewood. But today, biomass energy mainly refers to burning or using materials like wood and different types of seeds to produce electricity.
Biomass has created a separate market by substituting the traditional oil with the biofuel or biodiesel. This energy sector is becoming. Ability to make your own biodiesel in your own backyard is another reason for the resent popularity behind biodiesel.
There are diverse opinions about using biomass excessively. We have discussed them on this site as well as on the renewable energy guide. You can see our biomass section for more details. You can download our free eBook renewable energy guide for even more information.
Learn More About Tidal Energy. Download "The Renewable Energy Guide" Free
Tides are a great source of renewable energy. Tides are created due to gravitational pull of earth, moon and sun. This is a complex natural behavior. Rising water levels provides a great opportunity to generate reliable renewable energy.
Unlike other sources, tidal waves can produce large amount of electricity with a high degree of reliability. This makes tidal energy a key competitor in commercial renewable energy sector. Building a tidal renewable energy plant needs large sums of capital. Also the technology is costly and relatively new.
Tidal waves are only one form of ocean energy. There are other ways we can use the vast amount of energy hidden in the oceans. These are discussed in our free eBook renewable energy guide. You may download this by following this link. You can learn more about the tidal waves by reaching our tidal energy archive.
There are more renewable energy sources emerging. But what listed above are more stable technologies.
In summary, we have many options open to go green with renewable energy. We can save lots of money if we tap into these alternative energy sources. In addition we will find solutions for the global environmental problems we are facing today.
Today, we have an option to use these alternative sources to produce energy. But tomorrow, we will not have an option; we will have to optin to renewable energy sources whether we like it or not. Ever decreasing oil and coal reserves and environmental crisis we are facing even today will leave us no other option. So act today, go green.
Lecture:   MWF 3:10–4pm in          Barrows 20
Office hours:   Tues. 2–3:30pm and Fri. 1:30–3pm in 857 Evans
RRR week office hours: Monday, Tuesday, Wednesday from 1–3pm in Moffitt 102
Piazza:   For discussion boards etc. you can find a Piazza signup link here.
Course control number:    54227
Prerequisites:    Math 53, Math 54
Textbook:   Partial Differential Equations, An Introduction, Walter Strauss
Additional reference:   Partial Differential Equations, Lawrence C. Evans
Both of these books are on reserve in the Mathematics Statistics Library.
Syllabus:    The official course description includes the following topics: waves and diffusion,
initial value problems for hyperbolic and parabolic equations, boundary value problems for
elliptic equations, Green's functions, maximum principles, a priori bounds, Fourier transform.
We will cover these topics and more. A rough outline is as follows:
- Laplace/heat/wave equations
- Homework - eleven assignments, lowest score dropped
- Midterm 1 - in class, Monday October 6
- Midterm 2 - in class, Monday November 10
- Final exam - Tuesday, December 16 at 7pm
- Homework (20%), Midterm 1 (20%), Midterm 2 (20%), Final (40%)
- Homework (20%), Midterm 1 (20%), Final (60%)
- Homework (20%), Midterm 2 (20%), Final (60%)
- Homework (20%), Final (80%)
- You cannot pass this course without taking the final exam.
- Any conflicts due to religious creed or extra-curricular activities must be addressed
by the end of week two (September 12, 2014).
- No make-up exams will be given for missed midterms.
- You are free to collaborate on homework assignments and/or seek outside sources;
however, in order to receive credit you must write up solutions in your own words and
cite any sources you use. (Read this handout for a discussion of academic honesty.)
- Questions or complaints regarding the grading of an assignment or midterm must be
addressed within two weeks of the date the assignment or midterm is returned to the class.
- Late homework assignments will not be accepted.
Please check the course webpage for information before writing.
Class notes:   I will maintain some notes here, which will supplement the material presented in class.
It may be better not to print the notes, as they will be updated often and early versions may contain typos.
Class schedule:    The following table will be updated throughout the semester.
|Date  ||Lecture  ||Topics  ||References  ||Remarks  |
|8/29||1||Introduction (derivation of some common PDE) |
|9/3||2||Background (calculus, topology)  || Strauss A.1, A.3   |
Evans C.2, C.3
|9/5||3 ||Background (convolution, distributions) ||Strauss 12.1 |
|9/8||4 ||Laplace/Poisson (fundamental solution) || Strauss 6.1, 7.2,   |
|9/10||5 ||Laplace/Poisson (Green's functions) ||Strauss 7.3 |
|Homework 1 Due |
|9/12||6 ||Laplace/Poisson (Green's functions, mean value property) || Strauss 7.4, 7.1   |
Evans 2.2.4, 2.2.2
|9/15||7  ||Laplace/Poisson (maximum principle, uniqueness) || Strauss 6.1, 7.1 |
Evans 2.2.3 (a)
|9/17||8  ||Heat Equation (fundamental solution)  || Strauss 2.4 |
|Homework 2 Due  |
|9/19||9 ||Heat Equation (mean value property)  ||Evans 2.3.2  || |
|9/22||10  ||Heat Equation (maximum principle, uniqueness)  || Strauss 2.3 |
|9/24||11 ||Wave Equation (fundamental solution in 1d) || Strauss 2.1, 2.2 |
|Homework 3 Due |
|9/26||12 ||Wave Equation (solution in 3d) || Strauss 9.1, 9.2 |
|9/29||13 ||Wave Equation (solution in 2d)|| Strauss 9.1 |
Evans 2.4.1, 2.4.3
|10/1||14 ||Wave Equation (energy methods) ||Evans 2.4.3 || |
|10/3|| ||Review || ||Homework 4 Due  |
|10/6|| ||Midterm 1  || ||Midterm 1 |
|10/8||15 ||Separation of variables, Fourier series ||Strauss 1.4, 4.1, 4.2  || |
|10/10||16  ||Separation of variables, Fourier series  ||Strauss 5.1, 5.2, 5.3, 5.4 || |
|10/13||17  ||Separation of variables, Fourier series  ||Strauss 5.1, 5.2, 5.3, 5.4 || |
|10/15||18 ||Fourier transform  || Strauss 12.3 |
|Homework 5 Due |
|10/17||19 ||Fourier transform  || Strauss 12.3|
|10/20||20 ||Fourier transform  || Strauss 12.3, 12.4 |
|10/22||21  ||Tempered distributions  ||Strauss 12.1, 12.3 ||Homework 6 Due |
|10/24||22 ||Duhamel's principle  ||Strauss 3.4  || |
|10/27||23  ||Method of characteristics ||Evans 3.2  || |
|10/29||24  || Method of characteristics|
Scalar conservation laws
| Evans 3.2, 3.4, |
|Homework 7 Due  |
|10/31||25 ||Scalar conservation laws || Evans 3.4, |
|11/3||26 ||Calculus of variations || Strauss 7.1, 11.1, 14.3|
|11/5||27 ||Calculus of variations || Strauss 7.1, 11.1, 14.3 |
|11/7|| ||Review  || ||Homework 8 Due |
|11/10|| ||Midterm 2  || ||Midterm 2 |
|11/12||28  ||Numerical methods  ||Strauss 8.1, 8.2 || |
|11/14||29  ||Numerical methods  ||Strauss 8.3, 8.5  || |
|11/17||30 ||Classical mechanics  || || |
|11/19||31  ||Quantum mechanics  ||Strauss 9.4, 9.5 ||Homework 9 Due |
|11/21||32  ||Quantum mechanics  ||Strauss 9.4, 9.5 || |
|11/24||33  ||Quantum mechanics ||Strauss 10.3, 10.6 || |
|11/26||34  ||Quantum mechanics ||Strauss 10.3, 10.6 ||Homework 10 Due |
|12/1||35  ||Electromagnetism  ||Strauss 13.1 || |
|12/3||36 ||Elementary particles  ||Strauss 13.5  || |
|12/5|| ||Conclusion and review || || |
|12/8|| ||RRR Office hours || || Moffitt 102, 1–3pm|
Homework 11 Due
|12/9|| ||RRR Office hours || ||Moffitt 102, 1–3pm|
|12/10|| ||RRR Office hours || ||Moffitt 102, 1–3pm|
- Homework 1 - due Wednesday, 09/10
- Homework 2 - due Wednesday, 09/17
- Homework 3 - due Wednesday, 09/24
- Homework 4 - due Friday, 10/03
- Homework 5 - due Wednesday, 10/15
- Homework 6 - due Wednesday, 10/22
- Homework 7 - due Wednesday, 10/29
- Homework 8 - due Friday, 11/07
- Homework 9 - due Wednesday, 11/19
- Homework 10 - due Wednesday, 11/26
- Homework 11 - due Monday, 12/08