Introduction to Proof Writing for University Students

From 23.6 £ /h

What you will learn here is to reason, write, and read like a mathematician. The book we follow is Velleman's "How To Prove It", which provides a systematic attempt to reason with proofs. The book will cover Logic, Sets, Proofs, Relations, Functions, Induction, and Infinite Sets, and they are the basis for all mathematical literature. The background of calculus is not needed rather only algebra & trigonometry, and a determined, and humble, spirit.

Extra information

Bring your own laptop for note taking and coding, handwritten notes can be used via smartphones.

Location

Use Ctrl + wheel to zoom!

At teacher's location :

Discovery Bay Road, Discovery Bay, Hong Kong

Online from Hong Kong

About Me

I graduated as a Statistics & Data Scientist with a knack of programming and mathematics, plus I can speak some basic Cantonese, a dialect of Chinese. I am currently a freelance tutor teaching mathematics, programming, and statistics, and before that I was a software engineer with 3-4 years experience. I teach students to learn how to neatly write mathematics and challenge the reason their steps as well as provide guidance and insight to what they are doing, and these are the key to understanding mathematics.

In a bit of a personal note I had failed mathematics back in high school, so I can sympathise with struggling the students on its difficulty. However, given where I stand I believe anyone can learn mathematics, even if they failed high school like I did. The only thing they need is time, patience, and humility if they learn these three wisdom they can learn anything, and not just mathematics, and statistics, but all subjects.

Education

The Hong Kong Polytechnic University School of Professional Education and Executive Development, Bachelor of Science in Applied Science Major in Statistics & Data Science, 09/2015-08/2018.

Experience / Qualifications

Work:
12/2023 -- Present, Tutor for Accountable Education Centre, Kwai Fong, Part-time.
08/2021 – 02/2023, Programmer (Data Science) for ASL Holdings Limited, Sha Tin, Full-time.

Certificates:
10/2029 - The Hong Kong University of Science & Technology, Matrix Algebra for Engineers
10/2019The University of Sydney, Introduction to Calculus

Age

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

30 minutes

60 minutes

120 minutes

The class is taught in

English

Chinese

Skills

Logic

Proofreading

Math

Availability of a typical week

(GMT -05:00)

New York

At teacher's location and via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Raef

4.74

(129)

Experienced for more than 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French patent program, secondary and Terminales or international program in English (Grade 8 , 9, 10, 11, 12) or competitions and medical university preparatory classes or 1st and 2nd university years for the academic year 2022/2023 either at home or by internet online by virtual class method.
The online method is easily done through a link that serves as a shared interactive writing, typing and projection board more than Skype we talk to. This method is very modernized and reliable and guaranteed.
The results of my students and in particular the students of Terminale are superb with successes in mention very good, good and sometimes excellent. I give my students the working technique to get the best grades.
Homework help for CNED students.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Andrea

4.74

(129)

SERVICES
I can offer my assistance with Statistics, Mathematics, Econometrics and Data Analysis/Science and other Business-related subjects (with coding and programming if you are interested in it).
I understand that there are different kinds of learning methods, so as long as you can find your style and the appropriate method, I believe that you can get twice the result with half the effort. I have been told to be good at breaking down complex scientific concepts, explaining them in diagrams, and also relating them to their uses in our daily lives. I can help you to understand statistics, mathematics and econometrics (linear regression, forecast modelling, statistical modelling, advanced statistical modelling, AP statistics, quantitative methods, analysis, linear equations, inequalities, quadratic functions, sequences, vectors, geometry, trigonometry, logarithms, differentiation, integration, linear algebra, matrix transformations and so on) as well as introducing you to the fast-growing field of Data Analysis and Data Science.

- Mathematics
- Statistics
- Probability
- Linear Regression
- Statistical Modelling
- AP Statistics
- Linear Algebra
- Arithmetic
- Game Theory
- Analysis
- Calculus
- Geometry
- Trigonometry
- Data Analysis/Science
- Modelling
- Forecasting model
- Time Series Analysis
- Inequalities
- Matrices and Vectors
- Quantitative Methods

EXPERIENCE AND EDUCATION
-- PhD graduate in Finance, with 5 years of research experience and scientific contribution in the field of empirical asset pricing with focus on equity factor models, machine learning for asset pricing, regime switching models, sentiment analysis, and portfolio construction
- Freelance tutor and consultant in Finance, Data Science, Python, Statistics, and Econometrics for 3 years with 1500+ hours delivered to 150+ students and customers internationally
- Former financial analyst with 4 years of experience in design and realization of prototypes of several financial algorithms of a proprietary software for portfolio management, analysis, and consulting
- Experienced in written and oral communication to various audiences, from academic students to financial industry leaders and professionals through reviewing, editing, teaching, consulting, and oral presentations
- Former University Teaching Assistant, strong analytical background with extensive classroom and online teaching experience, MSc in Quantitative Finance, Bachelor of Science in Economics and Finance
- Excellent material available including slides, videos, tutorials and reading material. Extensive experience in research methods and software including Python, Jupyter notebook, Matlab, Sas, Stata, R, SQl/Oracle and Excel.
- I thoroughly enjoy helping others, as my patience and friendly nature makes it easier to be in an educational environment.
- I have learnt to adapt to different needs and learning styles according to the student, in order to optimise their success in turning their weaknesses into strengths.
- I'm patient, friendly and understanding. I am proficient in research and development and it’s my day to day work. I am a photography enthusiast and an insatiable learner.

KEYWORDS
Mathematics | Statistics | Statistics | Data Analysis | Programming | Python | Pandas | Excel | Powerpoint | Matlab | SQL | Assignment | Project | Thesis | Dissertation | Presentation | Essay | Paper | Research Proposal | Case Study | Research Paper |

GREETINGS
My goal is also to inspire further study that will lead to an interesting and successful career. If you need further information about myself or my services, please do not hesitate to contact me. Feel free to send me a message and I'd be happy to give you an informal consultation.

Feel free to contact me.
Thank you for looking at my profile and hope to hear from you soon,
Andrea

Georgios

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Award-winning European Chemistry Graduate and Educator with 25 years experience in teaching in Greece and Hong Kong, offers private tutoring, training, and support to high school and college-level students in Mathematics, Chemistry, and Science. For information please write to me on Apprentus.

Virag

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Secondary Students:
Maths: Algebra, Trigonometry, Geometry, Probability, Statistics, etc.
Other subjects negotiable.

University Students:
Advisory services for reports, final year projects, dissertations, and theses, including proofreading and feedback.

Jam

4.74

(129)

Mathematics can sometimes be hard. Therefore, my teaching style is to help make your journey easier by providing you with explanations of fundamental concepts and then, we shall drill down on practice questions to make your concept firm.
Computer Science and Programming languages have become a necessity for people to survive in STEM subjects. Therefore, I can help you with Python, Java, C++ and JavaScript. It is very important to understand concepts such as Object-Oriented Programming and therefore, I will make sure that you are able to gain a firm understanding of these concepts. In addition, I can teach Algorithms and by that, help you get good marks in your exams.

Enrique

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(129)

Don't settle for anything less than excellence.
I am an Aerospace Engineer with a Master's degree in Quantum Physics and have completed Ph.D. work at the University of Cambridge in Computational Physics. Additionally, I have 4 years of experience developing MATLAB and possess deep programming skills in MATLAB/Simulink family, C/C++, Fortran, and Python.

With over 12 years of tutoring experience, I have successfully guided more than 50 students worldwide to achieve distinction in various fields. Consistent results are my priority, and I strive for excellence in all aspects of my teaching.

My lessons are customized to meet each student's unique needs and are designed to be engaging and insightful.

Whether you are at a school level or require advanced or professional-level instruction, I offer support in the following areas:
- Preparation for IB/IA, A-Levels, GCSE, University Entry, or equivalent.
- Experience in preparing students to access world-class schools and universities, including Cambridge University, Oxford, Ivy League and other top institutions in the UK and US.
- University levels (undergraduate and postgraduate).
- High school studies and diploma programs.
- Assistance with specific projects at a professional level, including job interview preparation.
- Extensive experience working with children.

Every lesson is meticulously planned in advance to ensure that it aligns with your goals and targets areas for improvement.
I prioritize a dynamic and interactive learning experience, with one-on-one sessions tailored to your individual requirements. Lessons will be conducted via webcam, enabling you to connect from anywhere.

I have a highly flexible schedule and can adapt to accommodate your needs.
If you have any questions about my teaching method, availability, or pricing, please don't hesitate to reach out. I am here to assist you and provide the support you need.

Milica

4.74

(129)

I specialized in tutoring IB mathematics.
I tutor AA SL (analysis and approaches standard level) IB MYP and DP.

I work through past paper questions for IB DP AA SL Mathematics with my students.
Where necessary, I provide additional explanations of the topics that need to be mastered, based on my assessment of the student’s knowledge.

Jonathan

4.74

(129)

Experienced with preparation for IGCSE, IB DP, IB MYP, A-Levels, Middle School, SATs and other university entrance exams including Oxbridge. Also experienced in tutoring for math competitions and university students.

I'm originally from the UK and an international school teacher with a First Class degree in Mathematics from Oxford and 14 years experience tutoring students ranging from 10-19 years old of all abilities. I am sociable, warm and welcoming, with the ability to put students at ease so that they are able to learn in a positive environment. Being passionate and enthusiastic about Mathematics also helps impart the same to students. My teaching methods are tailored to suit each student in order to achieve the greatest results. I have a proven track record of helping students obtain grades above what they have originally been predicted. Parent references available on request.

Galib

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(129)

My tutoring approach is enthusiastic and sincere. In order to encourage enthusiasm for learning, I
adopt an entertaining, engaging, and dynamic style of teaching. My approachable and frequently light-hearted demeanor aids in winning my students' trust. Because of this vital connection, I am able to design my classes such that they address the student's flaws and concerns as well as their unique talents and particular interests. Individuals' capacity and zeal for independent study increase as this crucial academic confidence grows inside them. Incorporating my own experiences excelling at IGCSE, IAL and finally making it to HKU with a full scholarship, I can provide the best helping hand to students looking to shine in the future.

Seonkyung

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(129)

Hello I am a korean who is fluent on speaking korean. I could teach you korean with various sources and interesting contents. I can also teach you english and math. However, if someone who really want to learn korean, I would help you directly.

Vinita

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(129)

Mathematics is a subject that deals with numbers, shapes, logic, quantity and arrangements. Mathematics teaches to solve problems based on numerical calculations and find the solutions.
Biology is a natural science concerned with the study of life and living organisms. Modern biology is a vast and eclectic field composed of many specialized disciplines that study the structure, function, growth, distribution, evolution, or other features of living organisms.
Science is the process of learning about the natural world through observation and experimentation.

Ken

4.74

(129)

Degree in Applied Mathematics and Economics

I can teach
- AP Math up to Calculus
- AP Microeconomics
- AP Macroeconomics
- AP Physics (e.g. classical, mechanics, electricity & magnetism)
- AP Biology
- AP Computer Science
- AP Chemistry

Also able to teach French and English as well.

Fahad

4.74

(129)

Welcome to my tutoring profile! I am an experienced and enthusiastic teacher with a strong commitment to education. With a background in teaching English as a second language (ESL) and a year of practical experience, I have refined my ability to effectively assist students in a variety of subjects, including maths, science, and English. My approach to tutoring entails developing engaging and personalised lessons that address each student's specific needs. Using my strong communication and interpersonal skills, I strive to create a positive and supportive learning environment. I am fluent in English and dedicated to assisting students in improving their academic performance and achieving their goals. Let us go on a rewarding learning journey together!5

Glen

4.74

(129)

Hi, my name is Mr. Glen D'Silva. I live in Tai Wai.

With an experience of over 8 years as a Math teacher, I offer to teach students ranging from PYP to MYP (All kinds of boards upto grade 9). Can help with Science and English also

Benefits that a student would have:
-Personalized Learning Experience
-Reinforce Classroom Learning
-Homework Review
-Overcome math anxiety and Gain Confidence

I strive to make learning Math accessible and engaging for students of all levels. I am adept at explaining Mathematical concepts to students in a way that is easy to understand.

I am patient with students and have also worked with students who have special needs. I love the challenge of helping students learn and succeed. Thus I am confident in helping students reach their goal.

The way I approach teaching of Math is as follows:

-Creating an environment that is open for discussion
-Introducing the topic using multiple examples
-Implement tasks that promote reasoning and problem solving
-Supporting productive struggle in learning

Looking forward to connecting with you!

Besides, I also offer to teach Science and English and can coach in Chess for beginner and intermediate levels

Cliff

4.74

(129)

Each of the classes will be tailored to meet the needs of the student. I have many years experience teaching in Hong Kong international schools and can use my knowledge of exam classes to help provide stimulating lessons for each individual student. I am happy to teach face to face at a student’s home or online. Whichever suits you the most.