facebook
Marko
Trusted teacher
FavouritesAdd to Wish List
FavouritesAdd to Wish List
Trusted teacher
from284.33CNY/ h

College-Level Math Tutoring: Unlock Your Math Potential

Are you struggling with college-level math? Don't let equations and formulas intimidate you anymore! I offer personalized math tutoring sessions designed to help you excel in your college math courses. With a focus on clarity, understanding, and problem-solving techniques, I'll guide you through complex concepts with ease. Whether you need help with calculus (single or multivariable), algebra, or any other math subject, I'm here to support you on your academic journey. Contact me today to schedule your first session and unlock your full potential in math!

Extra information

Classes are held exclusively online using the Zoom video communication service.
Availability times vary, so it's best to contact me before scheduling a class.

Location

Online via webcam

General info

Age:
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level:
Advanced
Duration:
60 minutes
90 minutes
120 minutes
The class is taught in:English, Serbian

About Me

Math enthusiast. My main areas of interest are math applications in various real world problems and also teaching of mathematics in all levels of education while trying to incorporate informational technologies into teaching methods.

Education

Master's degree, Applied Mathematics, Teachings of Mathematics | Faculty of Mathematics, University of Belgrade

Bachelor's degree, Applied Mathematics, Teachings of Mathematics | Faculty of Mathematics, University of Belgrade

International Baccalaureate certificate in teaching and learning,
Yeditepe University, Istanbul

Experience / Qualifications

Certified IB DP Math Teacher

Math and Information Science Teacher | XII Belgrade Gymnasium
(September 2018 - Present)

Graduate Math Courses Assistant Professor | Master Math Prep School
(September 2016 - Present)
Teaching various math graduate subjects: Mathematical Analyisis 1, 2, 3, Multivariable Calculus, Linear Algebra etc.
Gmat/Gre and SAT/ACT exams prep courses. and IB Diploma programme.

Math and Information Science Teacher | Middle School Drinka Pavlović
(September 2015 - August 2018)

Math Teacher Gmat/Gre and SAT/ACT exams | Maryland School
(January 2014 - August 2015)

Math Teacher IB Diploma programme | Private Tutoring
(January 2010 - Present)
Substantial experience teaching IB Diploma curriculum, SAT/ACT and GRE/GMAT prep courses through private tutoring domestic and international students.

Reviews (7)

We are grateful to
We have been very happy with Marko's tutoring. My daughter is in an IB school doing DP, she wanted additional help with the more complicated functions. She found Marko easy to understand and was more confident in her maths as a result.
Marko is patient and has a professional but empathetic connection with the pupil. Definately recommend him.
Excellent
Translated by Google. Click to view original.
The teacher explains in detail and in a variety of ways, always making sure that the student understands.
...
Certified IB DP Math Teacher, dedicated to unlocking the world of numbers and equations for students around the globe. With years of experience in teaching mathematics in an international context, I bring a dynamic and engaging approach to online math education. My extensive background ensures that I am well-equipped to navigate and enhance the learning journey for students in various international programs, including the Cambridge International Programs (IGCSE, AS, A Level). What sets my classes apart is the seamless integration of technology into the learning experience. I conduct my sessions using a graphic tablet, ensuring that the transition to the online format doesn't compromise the quality of education. Each student receives a complete set of materials from the class via email in PDF format. This ensures that you have comprehensive notes and resources at your fingertips, aiding in thorough understanding and revision. My classes are designed to be interactive, fostering student participation and collaboration in the virtual learning environment. I understand the importance of catering to the individual needs and knowledge levels of each student. I adapt my teaching style to meet the unique requirements of my students, ensuring that the material is not only understood but mastered at a pace that suits them. Whether you're a beginner or an advanced learner, my goal is to create a supportive and inclusive learning environment tailored to your specific academic journey.
Certified International Baccalaureate Diploma Programme (IB DP) Math Teacher, dedicated to unlocking the world of numbers and equations for students around the globe. With years of experience and a deep understanding of the IB DP curriculum, I bring a dynamic and engaging approach to online math education. What sets my classes apart is the seamless integration of technology into the learning experience. I conduct my sessions using a graphic tablet, ensuring that the transition to the online format doesn't compromise the quality of education. Each student receives a complete set of materials from the class via email in PDF format. This ensures that you have comprehensive notes and resources at your fingertips, aiding in thorough understanding and revision. As a certified IB DP Math Teacher, I am well-versed in the intricacies of the curriculum, ensuring a comprehensive and structured learning experience. My classes are designed to be interactive, fostering student participation and collaboration in the virtual learning environment. I understand the importance of catering to the individual needs and knowledge levels of each student. I adapt my teaching style to meet the unique requirements of my students, ensuring that the material is not only understood but mastered at a pace that suits them. Whether you're a beginner or an advanced learner, my goal is to create a supportive and inclusive learning environment tailored to your specific academic journey.
Certified IB DP Math teacher. Substantial experience teaching IB (DP, MYP) curriculum as well as Cambridge International (IGCSE, AS, A Level) curriculum. SAT/ACT and GRE/GMAT prep courses through private tutoring for domestic and international students. I also teach college courses such as Calculus, Multivariable Calculus, Linear Algebra, Geometry etc. ***given the current epidemiological situation, classes are held online only, via Zoom platform. Časovi matematike za sve nivoe obrazovanja sa akcentom na internacionalni program i pripremu za SAT/ACT i ostale pristupne testove. ***Uzevši u obzir aktuelnu epidemiološku situaciju, časovi se drže isključivo online, preko Zoom platforme.

Ask a question

Send a message explaining your needs and Marko will reply soon:
The more detail, the better.
Ex. "Hi, when are you available to meet for a lesson?"

Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0              
1              
2              
3              
4              
5              
6  Monday at 6:00  Tuesday at 6:00  Wednesday at 6:00  Thursday at 6:00  Friday at 6:00  Saturday at 6:00  Sunday at 6:00
7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00  Thursday at 7:00  Friday at 7:00  Saturday at 7:00  Sunday at 7:00
8  Monday at 8:00  Tuesday at 8:00  Wednesday at 8:00  Thursday at 8:00  Friday at 8:00  Saturday at 8:00  Sunday at 8:00
9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00  Saturday at 9:00  Sunday at 9:00
10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00  Saturday at 10:00  Sunday at 10:00
11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00  Saturday at 11:00  Sunday at 11:00
12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00  Saturday at 12:00  Sunday at 12:00
13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
14  Monday at 14:00  Tuesday at 14:00  Wednesday at 14:00  Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
15  Monday at 15:00  Tuesday at 15:00  Wednesday at 15:00  Thursday at 15:00  Friday at 15:00  Saturday at 15:00  Sunday at 15:00
16  Monday at 16:00  Tuesday at 16:00  Wednesday at 16:00  Thursday at 16:00  Friday at 16:00  Saturday at 16:00  Sunday at 16:00
17  Monday at 17:00  Tuesday at 17:00  Wednesday at 17:00  Thursday at 17:00  Friday at 17:00  Saturday at 17:00  Sunday at 17:00
18              
19              
20              
21              
22              
23              
from 284.34 CNYOnline via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Online reputation

  • Instructor since February 2020
  • 5 repeat students
  • Phone number verified
  • Google connected

Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0              
1              
2              
3              
4              
5              
6  Monday at 6:00  Tuesday at 6:00  Wednesday at 6:00  Thursday at 6:00  Friday at 6:00  Saturday at 6:00  Sunday at 6:00
7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00  Thursday at 7:00  Friday at 7:00  Saturday at 7:00  Sunday at 7:00
8  Monday at 8:00  Tuesday at 8:00  Wednesday at 8:00  Thursday at 8:00  Friday at 8:00  Saturday at 8:00  Sunday at 8:00
9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00  Saturday at 9:00  Sunday at 9:00
10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00  Saturday at 10:00  Sunday at 10:00
11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00  Saturday at 11:00  Sunday at 11:00
12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00  Saturday at 12:00  Sunday at 12:00
13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
14  Monday at 14:00  Tuesday at 14:00  Wednesday at 14:00  Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
15  Monday at 15:00  Tuesday at 15:00  Wednesday at 15:00  Thursday at 15:00  Friday at 15:00  Saturday at 15:00  Sunday at 15:00
16  Monday at 16:00  Tuesday at 16:00  Wednesday at 16:00  Thursday at 16:00  Friday at 16:00  Saturday at 16:00  Sunday at 16:00
17  Monday at 17:00  Tuesday at 17:00  Wednesday at 17:00  Thursday at 17:00  Friday at 17:00  Saturday at 17:00  Sunday at 17:00
18              
19              
20              
21              
22              
23              
from 284.34 CNYOnline via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Share

You are here


Arianit
Mathematics (Applied Math, Calculus, Linear Algebra, Geometry, IBM Exams, Entrance Exams): Primary/High School/Bachelor/Master Students
Mathematics is all about learning basic elements with which you can create explosions, interactions and much more desired computations. It is the heart of every science known and without it, even the text that I am writing right now would not work (recall binary numbers). I have always been passionate about Math and during primary and high school I attended many Regional Math Olympiads where I usually won the top 5 places. During this period, I got the chance to be trained by university professors and gained knowledge of many complex math concepts at a really young age. This made it possible for me to afterward be able to explain these concepts in a brief and clear manner to my fellow students. I aspire to visualize everything with everyday life and when students see this connection, the puzzle is finally solved. We can cover all of the branches of mathematics together at the desired level and degree level. Starting from Algebra, Geometry, Calculus, Probability, Trigonometry and much more, we will build that mathematic intuition in no time!

Mohamed
Need to improve your math grades? Trust an experienced teacher, more than 11 years of public education!
As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college. My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject. With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way. By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge. In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Sarah
General School level and IB Math AAHL, IGCSE, GCSE tutoring
Hey! I’m a recent IB graduate with a top score in Math AAHL. My tutoring is suitable for all students looking to advance their problem solving skills or to improve their grade. Right now, I’m looking to teach current Ib Math AAHl students but I could also do it for lower grades just as effectively. Contact me for more info :)

Pia
University Mathematics (Algebra, Calculus, Analysis, Number Theory, Linear Algebra,...)
You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts. The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working. Topics include, but are not limited to: -Linear Algebra -Calculus -Trigonometry -Geometry -Set Theory and Metrics -Analysis -Algebra -Numerical Analysis -Number Theory -Probability -Logic and Proofs -Galois Theory If you have another topic in mind that you really need help with, just send me a message! Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions! The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Medo
Over 12 years of teaching high school mathematics. I offer math support lessons
As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college. My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject. With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way. By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge. In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Oyewunmi Samuel
Mathematics Tutorials Class for Beginners, Intermediate Students.
The science and study of quality, structure, space, and change is known as mathematics. Mathematicians use rigorous reasoning from carefully selected axioms and definitions to identify patterns, generate new hypotheses, and establish the veracity of their findings.

Med
Prepare for the Brevet: Special 3rd Year Math Course to Shine!
A passionate mathematics teacher with solid experience, I offer support lessons focused on mental arithmetic with soroban, the traditional Japanese Abacus. Give your children a unique opportunity to strengthen their mathematical skills, stimulate their concentration and develop their mental agility. Thanks to interactive teaching methods adapted to each student, my lessons aim to make mathematics more captivating and accessible. Invest in your children's mathematical future today by opting for these enriching and fun courses! The soroban, also known as the Japanese Abacus, is an ancient mental arithmetic instrument that embodies the elegance of simplicity. Made up of movable bars and beads, the soroban allows complex arithmetic operations to be performed with remarkable speed and precision. Each bead represents a decimal value, providing a visual and tactile method for performing calculations. Traditionally used in Japan, the soroban is not only a mathematical tool, but also a way to teach concentration, logic and discipline. Its learning promotes the development of mental skills, offering a unique and enriching approach to exploring the fascinating world of mathematics.

Nyimbili
AS AND A LEVEL MATHEMATICS IGCSE AND O LEVEL CAMBRIDGE
I have a full Outstanding knowledge of mathematical formulas and concepts. In-depth knowledge of using various teaching and learning aids. Ability to pay extra attention to the slow learning students. Exceptional verbal and written communication skills. My classes are handled with full sense of responsibility and care with every student. I have a Home work Policy via Google classroom and strictly business with the students Outstanding hands-on construction management professional who successfully maintains highest degree of quality and control over all facets of multiple projects. Twenty-Five years' experience as a Mathematics Teacher in a wide variety of large- scale commercial and civil construction projects. Consistently meets the time schedule and budget demands of mathematics syllables by utilizing highly effective management, engineering and troubleshooting. Such as Exam my Exams. Problem-solving is the ability to identify and solve problems. As a math teacher, it's my responsibility to help my students find solutions when they struggle with solving equations or completing assignments. You can use problem-solving skills in your classroom by asking students to explain their thought processes as they work through challenging tasks. This allows Me to assess whether students are using effective strategies and provides an opportunity for them to learn from their mistakes. Am Confident and organized educational professional with over 8 years of teaching experience at the high school level. Adept at communicating complex mathematical concepts to adolescents in a fun and engaging manner. Drafted homework assignments and exams for three different levels of math courses Passionate math teacher with 8+ years of experience in high school and middle school environments. Designed integrated lesson plans and incorporated authorial college prep elements to the state curricula. In my previous role prepared and run after-school tutoring for students with learning difficulties that helped improve their final test results by 30%. A winner of Teaching for Progress state award, seeking to leverage math and communication skills.

Carmen
Math Tutor from 7th grade to 12th grade
I'm Carmen and I'm a mathematician. I'm currently a teacher at a high school in Madrid from 7th to 12th grade. I can help you with any branch of mathematics (algebra, calculus, statistics, etc.). In Spain I'm a math tutor for several students. The classes I teach go from 1pm to 5pm. I teach in Spanish although I can speak English since I studied in the United States during my junior and senior years of high school.

Francisco
MATHS made easy with PhD student in Geophysics with 7+ years experience
With 7+ years' experience in education, I have coached over 50 students to improve their academic results and boost their confidence in math and physics. My tutoring services always include a personalized plan for each student. This plan is established during the first session where I like to meet the student, better understand their difficulties and get to know their schedule. In the first session, we will: - Get to know each other. - Understand the student's strengths and identify areas for improvement. - Understand the student's needs and difficulties. - Get to know the student's schedule. - Create a tutoring plan Typically, sessions take place as follows: i. Theoretical review of complex concepts in simple terms ii. Tips for solving problems iii. Abundance of exercises from my databases (exams, exercises) If you are interested in my services, please provide the following information when contacting me: - School system (French Bac, Matu, IB, A-levels) - Location of tutoring (or video tutoring if applicable) - Number of sessions per week and preferred days and times of the week (this can also be discussed after the first session, if you prefer) Check out my profile if you want to know more about me :) See you soon, Francisco

Yanan
All-level Math lesson, secondary math, A-level, IB, GMAT
During my teaching career, I've seen so many students claiming that they "hate" math because it is difficult. This makes me feel sad as math is reduced to boring numbers, formulas, and theories that need to be memorized only for the sake of exams. So to change this, I'll help you understand and appreciate the beauty of math by explaining the logics behind every theory and every technique, by connecting theories to their applications, and by taking baby steps to build a solid foundation. I teach all-level math (A-level, IB), GMAT/GRE math. And lessons can be delivered in either English or Chinese. The length of one lesson is typically 1h. Lessons will be tailored to your needs. Tell me before class what troubles you or how you'd like the lessons to go, and then I'll design the class and materials to clear all your confusion, and help you practice until you have a good grasp of this chapter.

Vikash
❤️ Master Algebra, Geometry, and Calculus with Ease: Expert Online Tutoring Tailored to Your Needs!
I am a passionate educator dedicated to creating an engaging and inclusive learning environment for all my students. With a solid educational background and seven years of teaching experience, I am committed to helping students achieve their academic goals and develop a lifelong love for learning. I really happy to teach people who will really want to part of my lesson. My teaching style is the step by step oriented. We will start from basic and move towards advanced topics. A very warm welcome my students on apprentus.com Wish you all the best.

Jerzy
Mathematics: Calculus, Algebra, Abstract Algebra, Geometry, Analysis, Probability and Statistics
Hello, I am a mathematics masters student specializing in algebra, geometry and number theory. I have graduated from the university of Groningen with a bachelor in mathematics. As such, I've spent a great deal of time studying mathematics at a higher level and have become acquainted with a broad range of mathematical disciplines such as algebra, geometry, analysis, calculus, probability, optimization and more, this of-course includes any high school mathematics. During my studies I working as a teaching assistant whenever possible so I have some experience teaching. In mathematics there are often many ways to come to the same conclusion and it varies from person to person what they consider easiest to understand. As such I try to get to know the student first and figure out how they may learn best. Personally, I rely a lot on intuition and deep understanding of concepts and so i try to convey to students the most essential and fundamental ideas before moving on, as well as, giving them interpretations of what is happening so that they may becomes easier to imagine and more tangible. In solving any problem, I think it is important to first sit back and understand what is going on before embarking on any calculation or proofs. In a typical class I would first survey what the student already knows and discuss the concepts with them making sure they understand them very well then we would move on to discussing examples and non-examples (this would take most of the class). Finally we would solve problems together discussing them as we go along. This of course can vary from student to student, their level and time available.

Bibek
Calculus and Linear Algebra (High School and University Level)
Hi! Welcome! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 4+ years in Physics and Mathematics to both high school and university-level students. This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra. Outline of the course: 1. Calculus: 1.1 Limits of functions 1.2 Continuity, types of discontinuities, intermediate value theorem 1.3 Differentiation (or derivative), slope, secant, tangent 1.4 Rules and theorems for differentiation, power rule, product rule, chain rule 1.5 Derivatives of exp, log, and trigonometric functions 1.6 Implicit differentiation and derivative of inverse functions 1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function 1.8 First and second derivative tests, inflection points 1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts 1.10 Definite integral and its application (area between curves, application in physics)\ 1.11 Optimization and linear differential equations 2. Linear Algebra: 2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product 2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension 2.3 Linear transformations, coordinates, and representation of linear transformations by matrices 2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate 2.5 Systems of linear equations, Gaussian elimination 2.6 Eigenvalues and eigenvectors 2.7 Range, kernel, and rank-nullity theorem and many more... *Note that the sessions will be held online (via Skype/Zoom/Microsoft Teams).

Sherman Siu Man
Pure Mathematics Applied Mathematics Advanced Mathematics
Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature or—in modern mathematics—purely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to prove properties of objects, a proof consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory under consideration.[1] Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation. Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other areas are developed independently from any application (and are therefore called pure mathematics) but often later find practical applications.[2][3] Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements.[4] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra[a] and infinitesimal calculus were introduced as new fields. Since then, the interaction between mathematical innovations and scientific discoveries has led to a correlated increase in the development of both.[5] At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method,[6] which heralded a dramatic increase in the number of mathematical areas and their fields of application. The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics.