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The goal of this mathematics course is to provide high school students and college freshmen an introduction to basic mathematics and especially show how mathematics is applied to solve fundamental engineering problems. The aim of the course is to show the students why mathematics is important in an engineering career by demonstrating how simple engineering problems can be mathematically described and methodically analyzed to find a solution.

A number of applied examples from various engineering disciplines will be introduced, analyzed and solved.

Web Sites for Engineering Math

• American Mathmatical SocietyFounded in 1888 to further mathematical research and scholarship.
• Association of Professional Engineers of Nova Scotia
• Canadian Mathematical SocietyThe Canadian Mathematical Society (CMS) was originally conceived in June 1945, and has as its goal to promote and advance the discovery, learning and application of mathematics.
• Engineers Without Borders, International
• Math2.orgThis general math site offers reference material on a host of math topics, plus a math message board and links to relevant material online.
• Society for Industrial and Applied MathematicsSIAM exists to ensure the strongest interactions between mathematics and other scientific and technological communities through membership activities, publication of journals and books, and conferences.
• Wolfram MathWorldUpdated daily, MathWorldTM claims to be the web’s most extensive mathematical resource, provided as a free service to the world’s mathematics and internet communities as part of a commitment to education and educational outreach by Wolfram Research.

Apps & Websites For Teaching Math Online

1. Khan Academy

Khan Academy is a completely free personalized learning resource with online courses, videos, and exercises. Students can complete daily reviews and keep track of their progress within the platform’s learning dashboard. The math tutorials are categorized by subject and by grade level for easy navigation and utilize specialized content—with the help of organizations like NASA, California Academy of Sciences, and The Museum of Modern Art—to bring the lessons to life.

What teachers love: Practice problems provide hints one step at a time, so students can get help when they’re stuck at a specific point, but don’t necessarily need help with the entire problem. This allows them to work things out for themselves and learn at their own pace.

2. YouTube University

Many students are already familiar with YouTube, but we’re guessing they don’t frequent the site’s University channel. The Mathematics playlist has more than 30 videos with problem-solving lessons and real-life examples of math in action. Students can also subscribe to individual courses, teachers, universities, and organizations—like Khan Academy—to get notifications when new math-related videos are posted.

What teachers love: YouTube is a familiar platform for students so it’s easy for them to search for the help they need. Plus, many of the videos are relatable and fun (check out Math Antics’ channel, for instance).

3. IXL

While IXL is a subscription-based learning site, it does offer free daily math practice problems. Students can complete ten free questions (in each subject) per day and grow their math skills. The subscription membership includes unlimited practice questions, analytics, certificates, and personalized skill recommendations.

What teachers love: If a student gets a problem incorrect, the program shows all the steps to complete the problem so they can see where they went wrong and learn from their mistakes.

4. Math is Fun

Just as the name implies, Math is Fun aims to make math enjoyable and entertaining. The site uses puzzles, games, quizzes, worksheets, and a forum to help guide students through their learning.

What teachers love: The problems and solutions are all explained in simple language, making it easier for students to learn on their own without the necessity of an adult or teacher to “translate.”

5. Wolfram MathWorld

MathWorld is a free online resource for everything related to mathematics. The site includes interactive GIFs and demonstrations, downloadable notebooks, and “capsule summaries” for various math terms. Students can explore the more than 13,000 entries to strengthen their math foundation and build up their understanding.

What teachers love: The site allows older and more advanced students to really dig deep into mathematics, with topics and articles in several different math-related subjects for a variety of background and ability levels.

6. Art of Problem Solving

With the Art of Problem Solving, students have three different avenues to get help and resources related to math. The Online School is a gateway for students to enroll in additional math classes and AoPS’ Bookstore offers challenging, in-depth textbooks so students can further explore the subject.

7. Desmos

Desmos is a free online graphing calculator that students can use to graph functions, plot data and evaluate equations. The site also includes math examples and even creative art—so students can get the most out of the calculator.

What teachers love: The website and program are extremely user-friendly, with an extensive help center; and with Desmos, families don’t have to worry about purchasing a pricey graphing calculator.

Grade levels: 6-12; secondary

8. Prodigy Math Game

Grade levels: K-8

9. Numberphile YouTube Channel

Grade levels: 6-12; secondary

10. edX

Grade levels: 6-12; secondary

11. MIT OpenCourseWare

Grade levels: 6-8

Mathematics studies numbers, structure and change and draws its origins from early philosophy. This ancient discipline is commonly used for calculations, counting and measurements. However, mathematics is a complex field which also involves theories, discovery of patterns, development of law, nicknamed of “The queen of sciences” .

Throughout history, a significant amount of mathematicians such as Galileo Galilei, Albert Einstein, Pythagoras, Archimedes and many others brought innovations in mathematics and gave birth to new theories and solutions to analytical problems. Mathematical principles can also be found in disciplines such as medicine, natural sciences, engineering, finance and social sciences.

Students who hold a Bachelor’s degree in mathematics can turn to applied mathematics, statistics, physics or engineering, if they wish to continue their studies. Such a programme develops skills such as knowledge of arithmetic, algebra, trigonometry and strong deductive reasoning. After graduating a Master’s degree in mathematics, students have the choice to be employed as operational researchers, statisticians, aerospace engineers, accountants, software testers or teachers.

Mathematics

The students of this program should grasp the basic theories and knowledge of mathematics solidly and systematically and be familiar with the development status, trends and frontiers of the research direction of mathematics. The graduates would be able to engage in independent research in the field of this subject or related subject, use mathematical knowledge and computer technology to analyze and solve some problems in natural science and engineering technology, and have good scientific research quality and strong innovation ability. The graduates would master a foreign language. They are required to be able to read the foreign language information of the major, and have a certain ability to write foreign language academic papers.

Admission requirements

1. 18 – 45 years old
2. With Bachelor Degree certificate
3. Good health

Target Audience

Bachelor graduate

Program content

Main Courses

• Numerical computation Technique
• Real analysis
• Fourier Analysis
• Nonlinear partial differential equations
• Theory of Hp spaces
• Operator theory in function spaces
• Neural Networks and Deep learning
• Optimization Theory and Methods
• Matrix Analysis
• Graph Theory
• Combinatorial Algebra
• Algebra and Optimization
• Modern Numerical Analysis
• Techniques of Big-data Processing
• Machine Vision and Image Processing

Engineering Simulation Calculation and Statistic

This project is an academic degree master of the second disciplines approved by the state’s independent setting, which is the cross discipline consisting of applied mathematics, computational science, financial and statistics, simulation technology, management decision-making, engineering economy, civil engineering and other fields.

The discipline is studying the applied mathematics problems with engineering background, studying of generic technology in the engineering technology or key technology. The theories and methods of these studies will be directly applied to the practical problems in the field of engineering.

This project adopts the English teaching and guidance. The training objective includes: students mastering firm basic theories and systems expertise, engaging in scientific research, teaching work or expertise work independently, using the model to solve practical problems of engineering and financial engineering, application of computer simulation and big data processing, applying project management statistical methods for engineering project risk forecast and control, and so on.

Admission requirements

1. 18 – 45 years old
2. With Bachelor Degree certificate
3. Good health

Target Audience

Bachelor graduate

Program content

Main courses

• Engineering Modeling and Simulation
• Computer Simulation Technology
• Numerical Calculation Method
• Engineering Database
• Advanced Statistical
• Complex System Analysis and Application
• Mathematical Finance
• Project Investment
• Engineering Economy
• Risk Management and Control

Major Specialties

1. The theory and application of Engineering mathematics. To study the mathematical model of engineering problems in Applied Mathematics, engineering mechanics, building physics and mathematical statistics with the direction. For example, engineering transportation and transportation allocation model, security network model, input output and decision model, risk control and countermeasure model, etc..
2. The numerical calculation and Simulation of engineering. The direction including engineering calculation, numerical analysis, structural analysis and numerical simulation, numerical simulation, structure CAD and engineering design and construction process of data processing, visualization, engineering structure simulation experiment. The numerical simulation is realized on the computer, and has the advantage of repeatability. The application platform through numerical calculation and simulation technology for engineering design and theoretical analysis to provide visualization.
3. Statistics and its application in engineering. The study of engineering economics, financial engineering, management statistics, etc., study the statistical model, statistical forecast, risk assessment and control of engineering management.
4. Quantum information and quantum computing, which focuses research orientations on the following topics: efficient quantum algorithms, construction of quantum hardware and devices, quantum measurement and control, quantum communication and error correction, as well as quantum metrology.
5. The study of micro- and nano- optics with research topics of design and fabrication of micro/nano optical devices, development and application of micro/nano systems, micro/nano optical printing and application.

Tuition fees

Local/EU and International/Non-EU students: RMB 25,000

Career opportunities

The working area of the talents is very wide, including civil engineering, traffic engineering, environmental engineering, hydraulic engineering, construction engineering, urban construction, project management, construction economy, the financial industry, securities investment and industry work. And also can be engaged in financial engineering, computer science, data analysis, computer simulation, project management, engineering economy, risk management, system engineering, economics, statistics, mathematical statistics, graphics, operational research in the fields of research and related work.

PhD Mathematical Sciences

The PhD programme in the Department of Mathematical Sciences is a strategic research collaboration between XJTLU and the University of Liverpool, and is based at XJTLU. Upon successful completion of your programme you will receive a degree from the University of Liverpool, which is recognised by the UK’s Department of Education as well as China’s Ministry of Education.

Students on this programme are formally registered with the University of Liverpool as off-site postgraduate research students. You will carry out research on XJTLU premises under the supervision of the supervisory team.

As a PhD student you will be appointed a designated primary (local) supervisor at XJTLU, who is a full-time member of academic staff. In addition, you will also have a designated secondary supervisor based at the University of Liverpool.

The normal length of full-time PhD programme is three years. At the end of three years’ full-time study, you can apply for an extension of one year to complete the writing of your dissertation. Part-time PhD degrees usually take four to seven years.

As a registered full-time PhD student, you have the opportunity to apply for a research visit to the University of Liverpool for up to three months. Your accommodation and travel fees will be covered by XJTLU and the University of Liverpool. Full-time PhD students are funded to attend local and international conferences during their studies.

1. Chinese universities are up there with the best

Whether we focus only on Asia or we look at it from a global perspective, Chinese universities are among the top providers of higher education. Over 100 universities in China earn their places in the well-respected global rankings, which are updated ever year.

2. The government offers a huge number of scholarships

You know the saying “actions speak louder than words”? The Chinese government is the perfect positive example, at least in terms of attracting international students. Local authorities have not only talked about but also invested heavily into creating an inviting environment for non-locals.

It’s enough to look at the huge number of scholarships and sponsorships available — over 40,000 — to realise the importance that the government places on attracting international talents.

3. Achieve Chinese language proficiency

Chinese isn’t only the most spoken language worldwide, but it is also an in-demand language, one that can help you find well-paid jobs at Chinese companies or subsidiaries all over the world.

Sure, it’s not exactly easy to learn Chinese. But if the passion is there and you’re open to the idea, studying and living in China for a few years will give you all the needed support to master this language.

4. Make your CV stand out with a diploma from China

With so many CVs looking all the same, it’s no wonder that businesses and HR departments are having a hard time finding exceptional candidates. But if you graduate with a diploma from a Chinese university, you won’t have this problem as a future job seeker.

Chinese universities are well-respected, and any HR specialist knows that not anybody has the courage or the personal resources to succeed as a student in the world’ most populous nation.

5. Explore the Chinese culture

China has a unique culture, with an interesting blend of influences, values, and traditions.

From the Confucian beliefs to the national pride, from the emphasis on family to the immensely popular ping-pong (table tennis), from the Chinese calligraphy to kung fu, and from traditional festivals to the passion for tea — few nations can match China’s rich and colourful culture.

Which universities and colleges to attend in China

China has 44 ranked universities in the top 500. Seeing as it can be difficult to go through all of them and decide which is the best to attend, we decided to only list a few we recommend, but remember to keep your options open:

• Zhejiang University
• Tsinghua University
• Peking University
• Fudan University
• Shanghai Jiao Tong University

What is it like to study in China?

In the student reviews on studying in China, a single phrase gets used over and over: great and innovative facilities.

Apparently, universities know how to take care of their students, making their lives easier and taking care of them, offering free access to materials and equipment.

Classes run from 8 to 12, and usually include presentations and debates, while students are encouraged to work in teams and mingle as much as possible, in order to assure a high level of cultural exchange.

Also, sport and extracurricular activities play a huge role in a student’s life, so be prepared to spend a lot of free time on campus, without regretting it.

What to study in China

China covers all fields of education, but it can be hard to decide what to study and what are the most lucrative and popular degrees out there. So, because we’re super helpful and awesome, we made this nifty list of the most popular study options in China. They are:

• Masters in International Relations in China 
• Masters in Finance in China 
• Masters in Business Administration in China 
• Masters in Economics in China 
• Masters in Computer Science in China 
• Masters in Languages in China 

Major cities in China

China is the fourth largest country in the world, so it can be difficult to decide on the city you’re better suited for.

Still, in fairness, nothing compares to the major cities in China, when it comes to universities and student nightlife. So, there’s no wonder pupils flock to study in Beijing in favour of the rest of the cities.

Practical Information

Chinese universities receive a lot of applicants yearly, so there are a lot of auxiliary websites for students to ask for help and manage their applications. These websites are:

• CUCAS – where you can apply by yourself online, and it’s an intermediator between you and the university
• CUAC (China University Application Centre) – where you can apply to a university, but also find awesome advisors and professional guides, that can help you with your studying decision

You can also apply on your own, of course, directly at the university you’ve chosen. However, whichever way you decide to apply, the documents needed are the same, which are:

• A passport photo
• A photocopy of your passport
• A photocopy of your visa
• Your ID
• Your health certificate
• Your criminal record (a clean one, hopefully)
• A Chinese / English language proficiency certificate
• Letter of guarantee (parents or legal guardians sign a declaration by which they assume responsibility that you will abide by the rules and regulations of China and of the university)
• Proof that you can support your studies in China
• Certificate / diploma from your last graduated school
• Academic transcripts from your last graduated school

Helpful ways to make sure you qualify for a Chinese university

Take Preparation Courses

These kinds of courses enable degree-seeking students to get an extra educational boost just before they start their Master’s degree or other post-graduate degree programmes. Try a pre-M.B.A., pre-Law, or pre-Medicine programme, as well as any other foundation or preparation courses that will allow you to study in the degree programme of your choice.

Improve your English through an English-language prep course

If you’re attending a degree programme in China, you will need to prove that your language skills are good enough to participate in the classes and understand the lectures. These courses will also prepare you for any of the English-language tests that universities require.

English-language tests

China has a lot of English Master’s programmes. Still, in order to apply to one of them, you will have to prove your proficiency through an English certificate. The ones accepted by Chinese universities are:

• PTE Academic
• TOEFL
• IELTS

Best Universities for Mathematics on PhDPortal

Universities	Location	Shanghai Jiao Tong University Ranking (2017)	TopUniversities Ranking (2018)	U.S. News & World Report Ranking (2018)
Princeton University	Princeton, United States	1	7	3
New York University	New York City, United States	2	10	7
Sorbonne University	Paris, France	3	51	–
Massachusetts Institute of Technology (MIT)	Cambridge, United States	4	1	4
University of Paris Sud	Orsay, France	5	51	32
University of California, Los Angeles (UCLA)	Los Angeles, United States	6	9	14
University of Cambridge	Cambridge, United Kingdom	7	5	9
Stanford University	Stanford, United States	8	3	2
University of Texas at Austin	Austin, United States	9	22	13
University of Oxford	Oxford, United Kingdom	10	4	6

PhD in Mathematics

Introduction to the Program

The PhD in Mathematics at BIT is a four year PhD degree program taught in English.

About Beijing Institute of Technology

Beijing Institute of Technology (BIT) is a leading University based in Beijing offering a wide range of programs in English to international students.

Entry Requirements

· Master’s Degree in the same major or in the relative field of interest;
· Efficient English language skills (TOEFL 85 or IELTS 5.5)

Application Deadline

The application deadline is July 15, however applications can sometimes still be accepted up to one month later. Students are advised to apply earlier to ensure enough time to process the student visa.

Tuition Fees

The tuition fees are 45,000 RMB per year. The total for the 4 year program is 180,000 RMB.

Curriculum

• Algebra
• Geometry and Analysis
• Applied Mathematics
• Differential Equation
• Operations Research and Cybernetics
• Mathematical Statistics
• Reliability Theory and Application

Accommodation

The accommodation fee is 1350RMB / Month, which is 45RMB/day/bed. Double Room with bathroom, TV set and air conditioner. Public kitchen on each floor.