Math & Calculus tutor

 19 May 2011

Mathematics is fundamental in the study of life and nature and thus one of the essential tools to understand events in our life and universe. In addition, math is also a necessary tool in  applied science. Based on Logical reasoning, set theory, number system, algebra, and space (geometry) study, high school math is supposed to provide us adequate basic foundation for the further study or required entry level skills to enter real life work place. 

By studying the basic mathematics students will also become well rounded persons, good citizens of the world and our future, be reasonable, be open to many other different ways of seeing and willing to understand the events, and open to further discovery and experiences. The study will also help improve your mind and brain work in intuitive and logic-based processes and at the same time instill the love for more discovery.

Some of the problem solving skills developed in school and college math include:

- Understanding the problem, given information and conditions or circumstances, and unknown information to be found 

- Making reasonable assumptions, translating words into geometric and algebraic representations

- Dividing the problems into smaller and easily solvable parts if necessary and when possible

- Producing additional constructions algebraically or geometrically to make progress in thinking

- Finding the relationships between the variables (unknown and known)

- Recalling related theories, formulas, mathematical properties, methods or techniques from past experiences, etc. 

- Selection of suitable ways/methods and apply them to get to the solutions

- Inspecting the solutions to find if they are possible

- Recording both successes and failures for future use

You should give sufficient time and effort to understand the mathematical ways of seeing the events, and to apply the techniques you learn in the real life situations to discover the beautiful solutions. Some of these solutions will become amazing new methods for further problem solving. 

Students read the books, listen to the lectures, take part in the discussions and practice solving problems. Many students make two kinds of notes.

(1) Important notes such as tips, definitions, theories, properties of objects and formulas that become his/her tool box

(2) Worked solutions

Starting from what is given students move to next steps in the process. Every time a new step is about to be made there must be a reason: why you do this ? Reasons must be logical.  Practice also must include neat and clear writing of mathematical statements such as formulas, equations, inequalities, etc. Student writing must be understandable to any reader with no ambiguity.  As in the study of Physics, proper & correct understanding of definitions and properties of elements of Mathematics is very important.

Take interest in Math. It is a beautiful wonder world.

- updated 05 September 2016 - 

As usual I will focus on clear understanding of concepts and theorems, thinking with logical reasons. Then we will go on to understanding of the problems and , when necessary, translating the problems (textual statements) into Mathematical forms so we can use the Mathematical theories to find the possible solutions. Creating neat and proper diagrams, as well as strong foundation of basic Math will always be important.

My tutoring services are available for

- Math 10, Precalculus 11 & 12, IB Math

- Calculus I, II & III

- Linear algebra first course

- Introduction to ordinary differential equations

- Introductory Statistics

One on one fees for fall 2022:

All high school and university 1st year math courses: $34 per hour

Introductory statistics: $34 per hour

All math courses from 2nd year university level and up: $38 per hour

For the work related math study please contact me for the rate.

Each online tutoring session is minimum one hour, and each in-person tutoring session shall be minimum two hours.

If you want to take up one on one tutoring on Mathematics please drop me an email to text me and I will reply to you.

Please include the grade or course you are studying at, your contact details and some information about the course outline. I will be more than happy to do my best in assisting you in the study of Mathematics.

External links (open in new window):

- Number system

- Elementary Arithmetic and Arithmetic

- Elementary Algebra

- Sets & Algebra of Sets

- Functions

- Quadratic functions

- Equation

- Inequalities

- Absolute value

- Composite functions & Inverse functions

- Polynomial functions

- Sequence

- Series (Mathematics)

- Axiom

- Logic

- Mathematical logic

- Mathematical proof

- Inductive reasoning

- Deductive reasoning

- Mathematical Induction

- Euclidean Geometry and Analytic Geometry

- Linear Algebra

- Exponential functions

- Logarithms

- Trigonometric functions

- Metric and Determinant

- Elementary Linear Algebra

- Graph of a function

- Asymptote

- Discrete Mathematics (Lecture notes)

- Permutation

- Combination

- Pascal's triangle

- Statistics

- Calculus

- Limits

- Vectors (Euclidean Vector/Geometric Vector)

- Mathematical constants (∏, e, etc.)

- List of Mathematical symbols