Since September 2024
Instructor since September 2024
Pure Mathematics Applied Mathematics Advanced Mathematics
From 58.3 C$ /h
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.
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.
Location
At student's location :
- Around Tartu, Estonia
At teacher's location :
- Nooruse, Tartu, Estonia
Online from Estonia
About Me
Current medical student. Previous radiographer. Future surgeon.
University of Tartu, Doctor of Medicine, 2024-2030
Hong Kong Polytechnic University, Bachelor in Radiography, 2014-2018
Kings Bournemouth, GCE AL, 2022-2024
Ho Fung College, HKDSE, 2008-2014
HKDSE 5*5*5*55 English Maths Advanced Maths Physics Chemistry
GCE A*AA Maths Biology Chemistry
IELTS 8 C1
PTEA 76 C1
UCAT 2720 Band 1
University of Tartu, Doctor of Medicine, 2024-2030
Hong Kong Polytechnic University, Bachelor in Radiography, 2014-2018
Kings Bournemouth, GCE AL, 2022-2024
Ho Fung College, HKDSE, 2008-2014
HKDSE 5*5*5*55 English Maths Advanced Maths Physics Chemistry
GCE A*AA Maths Biology Chemistry
IELTS 8 C1
PTEA 76 C1
UCAT 2720 Band 1
Education
University of Tartu, Doctor of Medicine, 2024-2030
Hong Kong Polytechnic University, Bachelor in Radiography, 2014-2018
Kings Bournemouth, GCE AL, 2022-2024
Ho Fung College, HKDSE, 2008-2014
Hong Kong Polytechnic University, Bachelor in Radiography, 2014-2018
Kings Bournemouth, GCE AL, 2022-2024
Ho Fung College, HKDSE, 2008-2014
Experience / Qualifications
HKDSE 5*5*5*55 English Maths Advanced Maths Physics Chemistry
GCE A*AA Maths Biology Chemistry
IELTS 8 C1
PTEA 76 C1
UCAT 2720 Band 1
UKMT Math Competition Gold Top 11%
GCE A*AA Maths Biology Chemistry
IELTS 8 C1
PTEA 76 C1
UCAT 2720 Band 1
UKMT Math Competition Gold Top 11%
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
90 minutes
The class is taught in
English
Availability of a typical week
(GMT -05:00)
New York
At teacher's location and via webcam
At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
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