MAST20026 Real Analysis Notes | Assignment Help | Syllabus
University: University Of Melbourne
“This topic introduces the area of mathematical analysis by providing a thorough theoretical foundation as well as a few examples. Many key conclusions are carefully proven, and students are exposed to proof techniques such as mathematical induction and contradiction proof.
The difference between real and rational numbers is stressed, and it is used to justify strict concepts of sequence convergence and divergence, such as the Cauchy criteria. These concepts are expanded to include the theory of infinite series, as well as common convergence and divergence tests. The Mean Value Theorem and Taylor’s Theorem are applications of a similar approach of continuity and differentiability of functions with a single variable. The Riemann integral’s definitions and characteristics allow for a formal demonstration of the Fundamental Theorem of Calculus. The convergence characteristics of sequences and series are investigated, with applications to power series representations of basic functions and Taylor series production. Fourier series are a kind of representation for periodic functions.
Learning outcomes that are expected
After completing this course, students should be able to:
Acquire a sense of mathematical rigor, be able to utilize evidence by induction, proof by contradiction, and epsilon-delta proofs as both a theoretical and approximation technique;
Understand the Riemann integral and improper integrals, as well as their theory and applications.
Know how to calculate the convergence and divergence of infinite series;
Have a thorough understanding of power series expansions and Taylor polynomial approximations in theory and practice; and
Recognize the significance of Fourier series in the representation of periodic functions.
Skills that are universal
Students will have the chance to acquire general abilities that will help them in any future professional path, in addition to acquiring particular skills that will help them in their future jobs in science. These are some of them:
analytical skills: the ability to construct and express logical arguments and work in abstract or general terms to increase the clarity and efficiency of analysis; collaborative skills: the ability to work in a team; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant
Ability to fulfill regular deadlines while managing conflicting obligations is referred to as time management abilities.”
Writing an essay is no simple feat. Every year, students spend hours upon hours poring over books, compiling annotations and looking for pieces of information that can be put in order to create a coherent argument. Essay writing is a long and lengthy
process and not everyone picks it up as easily as others. That’s why many students choose to buy essays online that they can use as study material to help them plan their own university essays. However, not every essay writing service is capable of writing essays to the standard you need.
While there are many different services that allow you to buy an essay, you’re not always guaranteed to get what you expect. Getting cheap UK essays is never going to benefit your grade and you
never know who is writing them or whether or not they are capable of responding to your assignment. Some of the poorer quality essay writing services employ writers that don’t speak English, don’t understand the subject they are writing about
or, worst of all, choose to plagiarise other people’s essays. However, when you buy an essay from us, we guarantee that the work that you will receive is of great quality and worthy of a high grade.
At The Uni Tutor, you can buy an essay from an expert with experience in your field of study and capable of fully researching, sourcing and writing your essay to an exceptionally high standard.
Get an Instant Price. No Signup Required
We respect your privacy and confidentiality!
You don’t get plagiarism here. If you want a cheap & dirty essay, ripped from somewhere else, then go somewhere else to get it
Only English speakers will work on your essay – not some guy who learned English only 10 years ago. When we hire writers, they OWN the English language
With The Uni Tutor,
you don’t get your essay written by some undergrad halfway across the world – all our writers are academics. They KNOW science
Ivy League and Oxbridge academics write for us. No exceptions
100% No-Plagiarism guarantee: we use several specialised scanner
programs to make sure everything is original, every time
Buy Essays Online
We built The Uni Tutor to be the Rolls Royce of custom essay writing services and provide only genuine essays that are top quality and 100% free of plagiarism. We are one of
the top 3 essay writing services that allow you to buy essays online, with a team of talented essay writers, researchers and essay writing tools at our disposal to help you achieve the grade you want. We guarantee that when you buy an essay from
us, it will be correct and delivered on time, with a seven day grace period to make any changes should you need them.
We make it easy and affordable to buy essays online without negating any of the quality. When you buy an essay from us we can have it written and delivered to you in as little time as 24 hours, and you will have full ownership over the work you purchase.
Your essay will never be passed onto anyone else, making it completely original and one of a kind for you to use as a study resource. While it can feel risky to buy essays online, you can rest assured that with our essay writing services, none
of your information will be passed on to any other party, so you can put your trust in us.
So, buy an essay from the Uni Tutor if you’re looking for reliable, high quality work delivered fast.
At The Uni Tutor, you buy essay and assignment help at a
very fair price. You’ll see that in a minute, with the instant quote calculator at the bottom of this page.
Basically, there are four factors that determine the cost when you buy an essay:
- The desired academic grade you want from your assignment or thesis
- The length of the essay
- Delivery date: Rush jobs can often be done, but come at an extra fee
- The subject matter: some subjects are more esoteric than others, meaning we sometimes need to hire a specialist writer for specific topics
The Order Now page tells you instantly how it will turn out for you, and you’ll see it’s not all that expensive to enlist the help of a custom essay writing
Once all your requirements are filled in, check the quote and hit start to buy your essay. That simple.
Please note that in some cases, the writer we assign to your project will offer an all-inclusive fee for your project, irrespective of the result from the calculator. He or she is, however, not allowed to quote more than our systems calculate.
Why not check our rates right now? You might be surprised how affordable it is to get your coursework or essay help from a proper researcher.
- Completely original, custom written essays, dissertations and assignments, free of plagiarism
- Correctly annotated and referenced
- Can be delivered as fast as 24 hours after receipt of payment
- Thoroughly researched academic work
- Written to your exact requirements
- Whatever subject you need written
Want to buy an essay? Here is our prices:
Our team of writers is thoroughly experienced in researching and writing for all levels of academic essays, coursework and dissertations.
Whatever the subject that you need researched, our academic writers are up to the task to write your undergraduate essay and help you get terrific grades. In 24 hours, or in two or four weeks, entirely up to you, and with guaranteed on-time
delivery, or your money back.
You tell us the precise level of research and the word count you require, and we give you the best essay writing services and employ the best academic writing experts that will definitely get you the grades you deserve.
That’s how simple. And don’t forget: Our 7-day grace period allows you to request any changes you would like to see.
If you’re studying for your Masters degree and you need help writing an essay or dissertation, you’ll be happy to know that all of our writers are experts in writing essays for
MA, MBA, LLM, MSC essays and coursework.
If you get one of our writers to work for you, your coursework and essays will be completed to a Pass, Merit, or Distinction standard.
Your writer himself will be a Distinction Grade degree holder – what more could you want?
You tell us the precise level of research and the word count you require, and we get you essay help and academic writing that will definitely get excellent grades. That’s how simple. And don’t forget: Our 7-day grace period allows you to request
any changes you would like to see.
- No Plagiarism: we use several programs to scan for plagiarism and we include a report when we approve and deliver your essay or assignment
- 7 Days of unlimited alterations grace period for any changes to your coursework
- Full ownership and intellectual property rights transferred to you when payment is completed: You will own all copyrights to the work once payment is complete. Nobody will ever be allowed to share, publish or distribute this work
unless you give personal permission
- Fully referenced and with correct and checked bibliography
- Guaranteed to never be resold or published anywhere else
- Top quality: We’re confident we are the best essay writing service and we will deliver a top quality essay to you. If your custom essay is not of the standard you ordered, your next essay comes free of charge. (One-time only for
each purchased work)
- Privacy and Confidentiality: We promise that neither your contact details nor your work will be passed to any other party whatsoever. We respect your privacy under all UK and US laws
- On Time Delivery: We promise that you will receive your assignment, essay, dissertation or other coursework on time. If you do not receive your ordered works on the day we promise, you will receive your money back
With The Uni Tutor, you can’t go wrong. Check your quote, and get the best possible academic essay writing you could wish for.
|Included||Standard Service||Elite Service|
|Your original and fully referenced work|
|Standard 7 day period to request your researcher make changes to your work.|
|Extended 90 day period to request your researcher make changes to your work.|
|Researcher fully qualified in your subject area and to your level of study.|
|One of the top 5 researchers fully qualified in your subject area and to your level of study.|
|Personal account manager as your main point of contact.|
|Quality report that details all of the quality checks carried out on your work.|
|Plagiarism report that highlights any instances of plagiarism within your work.|
We’ve been featured in…
I’m [student name removed] from [school name removed] and I’m here to share some of my experiences with The Uni Tutor with you. Before I
found The Uni Tutor I literally spent months trying to find research material for my dissertation but I was seriously struggling to establish a proper logical structure and argument. My deadline was looming. I was panicking. A friend of mine said
that he had used The Uni Tutor. She said they were amazing and helped her obtain a 1st Degree. So I gave them a call.
I’m writing to thank The Uni Tutor team. My writer David Franzi wrote an amazing essay. It helped
me in gaining a top grade. The order came on time, and was plagiarism free. I’ve now been a customer for over 10 essays.
Buying an essay couldn't be simpler
Order your dissertation with our three step order form. Once your form is complete you’ll be on the way to getting where you want to be. When we receive your order it is
matched to a writer with a minimum 2.1 degree in your subject, has English as a native language, and has experience in writing professionally. This writer will then start writing your dissertation to your specific instructions. Once your order
is complete our team will check that it meets all of our guarantees, including being plagiarism-free and to the grade that you ordered, before delivering it to you on time.
There are multiple ways to pay for your order, they are listed below.
Pay by Card
We use a secure payment system, and we never store any of your card details. We accept many payment cards inclusing; Visa, Mastercard and Delta
Pay by PayPal
We take online card payments via PayPal, but you do not require an account with PayPal in order to pay with your credit or debit card.
Pay by Bank Transfer
Please note that, in using this option, we will only start your order when payment has cleared which can take 3 – 5 days.
How the order process works
- Order Your Work Online
- Tell us your specific requirements
- Pay for your order
expert will write your work
- You log in and download your work
- Order Complete