About Me

Full Name

Rajan Kanagasabai

Bio

Rajan Kanagasabai is a dedicated professional with over 21 years of experience as a High School and University Math & Physics Tutor. Since September 2002, Rajan has been providing personalized tutoring services in Brampton, Ontario, through Splash Tutor. With a passion for teaching and a deep understanding of mathematics and physics, Rajan has helped countless high school and university students excel in their academic pursuits.


Through Splash Tutor, Rajan offers comprehensive tutoring sessions tailored to meet the individual needs of each student. Whether it's clarifying complex mathematical concepts, solving physics problems, or preparing for exams, Rajan provides personalized attention and support to ensure students achieve their goals. His patient demeanor, clear explanations, and effective teaching strategies have earned him a reputation as a highly effective tutor.


Rajan's commitment to education extends beyond the classroom, as he continuously seeks to enhance his teaching skills and stay updated on the latest educational trends and methodologies. His dedication to helping students succeed academically has made him a trusted resource for those seeking to improve their math and physics skills.


Overall, Rajan Kanagasabai's extensive experience as a Math & Physics Tutor, combined with his passion for education and commitment to student success, makes him a valuable asset to the academic community in Brampton, Ontario, and beyond.


Rajan holds both a Master of Engineering (M.Eng) and Bachelor of Engineering (B.Eng) in Structural Engineering from Technische Universität Darmstadt, Germany. He completed his studies from 1986 to 1994. These degrees are recognized as equivalent to Canadian Masters and Bachelors degrees in Engineering, as assessed by the University of Toronto in 1996.


During his academic tenure at Technische Universität Darmstadt, Rajan focused on innovative approaches to structural engineering design. He utilized Genetic Programming (GP) methodology, where computer programs evolve to find solutions to engineering problems. Additionally, Rajan developed graphical computer software using FORTRAN 77, which enabled the comparison of results between Genetic Programming (GP) and Genetic Algorithm (AP) methods.


Prior to his education in Germany, Rajan pursued studies in Physical Science at the University of Jaffna. This foundational education provided him with a strong understanding of scientific principles, which he later applied and expanded upon during his engineering studies.


Combining his academic background in engineering and physical science with his practical experience as a tutor, Rajan Kanagasabai brings a wealth of knowledge and expertise to his role as a High School and University Math & Physics Tutor. His dedication to education and innovative problem-solving approaches make him a valuable asset in both academic and professional settings.

0 Enrolled Courses
0 Active Courses
0 Completed Courses
245 Total Students
57 Total Courses
47 Total Reviews

Courses Taken

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Expert

Calculus 1 – Integrals and Differentials (Final Exam)

Are you currently taking Calculus 1 at university and struggling …

$40.00$80.00

-50%
Expert

Calculus 1 – Applications of Differentiation (Mid-Term 3)

Are you currently taking Calculus 1 at university and struggling …

$40.00$80.00

-50%
Expert

Calculus 1 – Derivatives (Mid-Term 2)

Are you currently taking Calculus 1 at university and struggling …

$40.00$80.00

-50%
Expert

Calculus 1 – Functions and Limits (Mid-Term 1)

Are you currently taking Calculus 1 at university and struggling …

$40.00$80.00

Expert

IB AA Math 12 – Functions

LINES (or LINEAR FUNCTIONS) QUADRATICS (or QUADRATIC FUNCTIONS) FUNCTIONS, DOMAIN, …

$70.00

IB AA Math 12 – Functions

20 Lessons
10 hours
Expert
What you'll learn
1. Lins
2. Quadratics
3. Functions Domain Range Graph
4. Composition and Inverse Function
5. Transformations
6. Asymptotes
7. Exponential Function
8. Logarithms
-50%
Expert

Physics 12 – The Wave Nature of Light

The Wave Nature of Light This unit explores the fundamental …

$35.00$70.00

Expert

IB AA Math 12 – Statistics and Probability

1 BASIC CONCEPTS OF STATISTICS 2 MEASURES OF CENTRAL TENDENCY …

$70.00

IB AA Math 12 – Statistics and Probability

26 Lessons
10 hours
Expert
What you'll learn
1. Statistics - Basic Concepts
2. Linear Regression
3. Probability I (Venn Diagram)
4. Probability II (Tree Diagram)
5. Discrete Distributions in General
6. Binomial Expansion & Theorem
7. Binomial Distribution
8. Normal Distribution
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Expert

Physics 12 – Gravitational Electric and Magnetic Field

Here’s a course description for Physics 12 – Gravitational, Electric, …

$35.00$70.00

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Expert

Physics 12 – Energy and Momentum

This unit explores the fundamental concepts of energy and momentum …

$35.00$70.00

Physics 12 – Energy and Momentum

13 Lessons
10 hours
Expert
What you'll learn
Linear Momentum & Impulse
Conservation of Momentum
Work
Types of Energy
Conservation of Energy
2.6 Collisions
-50%
Expert

Physics 12 – Mechanics

The Mechanics unit of the Grade 12 Physics course in …

$35.00$70.00

Physics 12 – Mechanics

22 Lessons
16 hours
Expert
What you'll learn
Motion in One Dimension
Acceleration as a Vector
Relative Motion
Projectile Motion
Newton’s Laws in 2 Dimensions
The Inclined Plane
String and Pulley Problems
Uniform Circular Motion
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Splash Tutor

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9 Lessons
All Levels
-50%
Intermediate

Physics 11 – Electricity & Magnetism

This unit introduces students to the fundamental principles of electricity …

$30.00$60.00

-50%
Intermediate

Physics 11 – Waves & Sound

In this engaging and interactive physics course designed for Grade …

$30.00$60.00

Physics 11 – Waves & Sound

21 Lessons
Intermediate
What you'll learn
Introduction to Sound
Breaking the Sound Barrier
The Doppler Effect
The Principle of Superposition
Standing Waves and Interference
Resonance and Music on Strings
Resonance and Music in Tubes
-50%
Intermediate

Physics 11 – Energy

In this unit, students will explore the various forms and …

$30.00$60.00

Physics 11 – Energy

19 Lessons
8 hours
Intermediate
What you'll learn
Introduction to Work and Energy
Power & Efficiency
Kinetic Energy
Potential Energy
Conservation of Energy
Thermal Energy and its Transfer
Heat Exchange
Latent Heat
Introduction to Nuclear Physics
-50%
Intermediate

Physics 11 – Dynamics

Physics 11 – Dynamics is designed to introduce students to …

$30.00$60.00

Physics 11 – Dynamics

27 Lessons
10 hours
Intermediate
What you'll learn
Newton’s Law s
Net Forces
Free Body Diagrams
Gravity
The Normal Force
Friction
Tension and Pulley
-50%
Intermediate

Physics 11 – Kinematics

Physics 11 – Kinematics is designed to introduce students to …

$30.00$60.00

Physics 11 – Kinematics

29 Lessons
8 hours
Intermediate
What you'll learn
Measurement in Physics
Distance, Position & Displacement
Speed and Velocity
Acceleration
Graphs of Linear Motion
Five Fundamental Equation
Vectors & Algebra
Relative Velocity
Projectile Motion
-50%
Beginner

Math 9 – Measurement

Grade 9 Math – Measurement: Area, Perimeter, Volume, and Surface …

$20.00$40.00

Math 9 – Measurement

21 Lessons
8 hours
Beginner
What you'll learn
Apply the Pythagorean Theorem
Perimeter and Area of Composite Figures
Surface Area and Volume
Surface Area and Volume of a Cone
Surface Area and Volume of a Sphere
-50%
Beginner

Math 9 – Analyses of Data

In the Analyses of Data course for Grade 9, students …

$20.00$40.00

(3)

Math 9 – Analyses of Data

5.0/5
(3 ratings)
11 Lessons
8 hours
Beginner
What you'll learn
Key Statistical Concepts
Measuring The Centre of Data
Measuring The Spread of Data
Boxplots
-50%
Beginner

Math 9 – Analyses of Linear Relations

Analyses of Linear Relations is designed to provide ninth-grade students …

$20.00$40.00

Math 9 – Analyses of Linear Relations

10 Lessons
7 hours
Beginner
What you'll learn
The Equation of a Line in Slope y-Intercept Form y = mx + b
The Equation of a Line in Standard Form Ax + By + C = 0
Graph a Line Using Intercepts
Parallel and Perpendicular Lines
Find an Equation for a Line Given the Slope and a Point
Find an Equation for a Line Given Two Points
-50%
Beginner

Math 9 – Modelling With Graphs

Course Overview This course introduces students to the principles of …

$20.00$40.00

Math 9 – Modelling With Graphs

9 Lessons
8 hours
Beginner
What you'll learn
Direct and Partial Variation
Slope
Slope as a Rate of Change
Line on a Cartesian Plane
Finding Slope
-50%
Beginner

Math 9 – Relations

ourse Description: This course provides a comprehensive introduction to the …

$20.00$40.00

Math 9 – Relations

9 Lessons
8 hours
Beginner
What you'll learn
Hypotheses and Sources of Data
Sampling Principles
Use Scatter Plots to Analyses Data
Trends, Interpolation, and Extrapolation
Linear and Non-Linear Relations
-50%
Beginner

Math 9 – Equation

This unit introduces students to the foundational principles and methods …

$20.00$40.00

Math 9 – Equation

9 Lessons
8 hours
Beginner
What you'll learn
Solve Simple Equation
Solving Multi-Step Equation
Solving Equation Involve Fraction
Modeling with Formula
Modelling with Algebra
-50%
Expert

Math 12 : Rates of Change

This course delves into the dynamic world of advanced functions …

$35.00$70.00

Math 12 : Rates of Change

5 Lessons
Expert
What you'll learn
Determining Average Rate of Change
Estimating Instantaneous Rates of Change
Solving Problems Involving Rates of Change
-50%
Beginner

Math 9 – Algebra

Unit Overview: In the 9th grade Algebra unit, students embark …

$20.00$40.00

Math 9 – Algebra

10 Lessons
8 hours
Beginner
What you'll learn
Communicate with Algebra
Collect Like Terms
Adding and Subtracting Polynomials
The Distribute Property
-50%
Beginner

Math 9 – Number Operation

Overview: In this unit, students will delve into the foundational …

$20.00$40.00

Math 9 – Number Operation

19 Lessons
10 hours
Beginner
What you'll learn
Real Number System
Add & Subtract Integers
Multiplying and Dividing Integers
Lowest Common Denominator
Multiply and Divide Fractions
Distribute Property
Order of Operations
Precents & Powers
-50%
Intermediate

Math 11 – Trigonometric Ratios

Trigonometric ratios, also known as trigonometric functions, are mathematical functions …

$30.00$60.00

Math 11 – Trigonometric Ratios

31 Lessons
8 hours
Intermediate
What you'll learn
Trigonometric Ratios, Sine Law and Cosine Law (10 Review)
Solving Three-Dimensional Problems by Using Trigonometry
Evaluating Trigonometric Ratios for Special Angles
Evaluating Trigonometric Ratios for Any Angle (CAST Rule)
Trigonometric Identities
Sine Law – The Ambiguous Case
-50%
Intermediate

Vectors 12 – Equations of Lines and Planes

The Equations of Lines and Planes in Vectors course focuses …

$35.00$70.00

Vectors 12 – Equations of Lines and Planes

19 Lessons
8 hours
Intermediate
What you'll learn
Vector and Parametric Equations of a Line in R2
Cartesian Equation of a Line
Vector, Parametric, and Symmetric Equations of a Line in R3
Vector and Parametric Equations of a Plane
The Cartesian Equation of a Plane
-50%
Expert

Vectors 12 – Applications of Vectors

Vectors are powerful mathematical tools that find applications in various …

$35.00$70.00

Vectors 12 – Applications of Vectors

24 Lessons
8 hours
Expert
What you'll learn
Vectors as Forces
Vectors as Velocity
The Dot Product of Two Geometric Vectors
The Dot Product of Algebraic Vectors
Scalar and Vector Projections
The Cross Product of Two Vectors
Applications of the Dot Product and Cross Product
-50%
Expert

Vectors 12 – Introduction to Vectors

The Introduction to Vectors course offers students an entry-level exploration …

$35.00$70.00

Vectors 12 – Introduction to Vectors

38 Lessons
10 hours
Expert
What you'll learn
An Introduction to Vectors
Vector Addition and Subtraction
Multiplication of a Vector by a Scalar
Properties of Vectors
Vectors in R2 and R3
Operations with Algebraic Vectors in R2
Operations With Vectors in R3
-50%
Expert

Calculus 12 – Derivatives of Exp. and Trig. Functions

Course Overview: Calculus 12: Derivatives of Exponential and Trigonometric Functions …

$35.00$70.00

Calculus 12 – Derivatives of Exp. and Trig. Functions

17 Lessons
8 hours
Expert
What you'll learn
Derivatives of Exponential Function y=e^x
The Derivative of the General Exponential Function y=b^x
The Derivatives of y=sin(x) and y=cos(x)
The Derivative of y=tan(x)
Application of Trigonometric Function
The Derivative of Logarithmic Function
-50%
Expert

Calculus 12 – Curve Sketching

The course on Curve Sketching in Calculus provides a concise …

$35.00$70.00

Calculus 12 – Curve Sketching

16 Lessons
8 hours
Expert
What you'll learn
A Increasing and Decreasing Functions
Critical Points, Local Maxima, and Local Minima
Vertical and Horizontal Asymptotes
Concavity and Points of Inflection
An Algorithm for Curve Sketching
-50%
Expert

Calculus 12 – Applications of Derivatives

The course on Applications of Derivatives in Calculus explores the …

$35.00$70.00

Calculus 12 – Applications of Derivatives

12 Lessons
Expert
What you'll learn
Higher-Order Derivatives, Velocity, and Acceleration
Maximum and Minimum on an Interval
Optimization Problems
-50%
Expert

Calculus 12 – Derivatives

The course on Derivatives in Calculus provides a concise introduction …

$35.00$70.00

Calculus 12 – Derivatives

12 Lessons
10 hours
Expert
What you'll learn
The Derivative Function
The Derivatives of Polynomial Functions
The Product Rule
The Quotient Rule
The Derivatives of Composite Functions
-50%
Expert

Calculus 12 – Introduction to Calculus

Calculus is a branch of mathematics that deals with the …

$35.00$70.00

Calculus 12 – Introduction to Calculus

18 Lessons
8 hours
Expert
What you'll learn
Radical Expressions Rationalizing Denominators
The Slope of a Tangent
The Limit of a Function
Properties of Limits
Continuity
-50%
Expert

Math 12 – Combinations of Functions

Combinations of functions involve combining two or more functions to …

$35.00$70.00

(1)

Math 12 – Combinations of Functions

5.0/5
(1 rating)
13 Lessons
8 hours
Expert
What you'll learn
Exploring Combinations of Functions
Combining Two Sums and Differences
Combining Two Functions Products
Exploring Quotients of Functions
Composition of Functions
-50%
Expert

Math 12 – Exponential and Logarithmic Functions

Exponential functions and logarithmic functions are two important types of …

$35.00$70.00

(2)

Math 12 – Exponential and Logarithmic Functions

5.0/5
(2 ratings)
20 Lessons
8 hours
Expert
What you'll learn
Exploring the Logarithmic Functions
Transformations of Logarithmic Functions
Evaluating Logarithms
Laws of Logarithms
Solving Exponential Equations
Solving Logarithmic Equations
Solving Problems with Exponential and Logarithmic Functions
-50%
Expert

Math 12 – Trigonometric Identities and Equations

Trigonometric identities are equations that relate trigonometric functions and are …

$35.00$70.00

(2)

Math 12 – Trigonometric Identities and Equations

5.0/5
(2 ratings)
11 Lessons
8 hours
Expert
What you'll learn
Exploring Equivalent Trigonometric Functions
Compound Angle Formulas
Double Angle Formulas
Proving Trigonometric Identities
Solving Trigonometric Equations
-50%
Expert

Math 12 – Trigonometric Functions

Trigonometric functions are mathematical functions that relate angles of a …

$35.00$70.00

(3)

Math 12 – Trigonometric Functions

5.0/5
(3 ratings)
15 Lessons
8 hours
Expert
What you'll learn
Radian Measure
Radian Measure and Angles on the Cartesian Plane
Exploring Graphs of the Primary Trigonometric Functions
Transformations of Trigonometric Functions
Exploring Graphs of the Reciprocal Trigonometric Functions
Modelling with Trigonometric Functions
-50%
Expert

Math 12 – Rational Functions Equations and Inequalities

Rational functions, equations, and inequalities involve expressions that are ratios …

$35.00$70.00

(3)

Math 12 – Rational Functions Equations and Inequalities

5.0/5
(3 ratings)
17 Lessons
8 hours
Expert
What you'll learn
Graphs of Reciprocal Functions
Exploring Quotients of Polynomial Functions
Graphs of Rational Functions
Solving Rational Equations
Solving Rational Inequalities
-50%
Expert

Math 12 – Polynomial Equations and Inequalities

Polynomial equations and inequalities involve expressions with polynomial functions and …

$35.00$70.00

(7)

Math 12 – Polynomial Equations and Inequalities

5.0/5
(7 ratings)
6 Lessons
8 hours
Expert
What you'll learn
Solving Polynomial Equations
Solving Linear Inequalities
Solving Polynomial Inequalities
-50%
Expert

Math 12 – Polynomial Functions

Polynomial functions are mathematical functions that consist of a sum …

$35.00$70.00

(8)

Math 12 – Polynomial Functions

4.88/5
(8 ratings)
17 Lessons
10 hours
Expert
What you'll learn
Exploring Polynomial Functions
Characteristics of Polynomial Functions
Polynomial Functions in Factored Form
Transformation of Cubic and Quartic Function
Dividing Polynomials
Factoring Polynomials
-50%
Expert

Math 12 – Functions Characteristics and Properties

Functions in mathematics possess various characteristics and properties that describe …

$35.00$70.00

(10)

Math 12 – Functions Characteristics and Properties

5.0/5
(10 ratings)
16 Lessons
8 hours
Expert
What you'll learn
Functions
Exploring Absolute Value
Properties of Graphs of Functions
Inverse Relations
Piecewise Functions
-50%
Intermediate

Math 11 – Financial Applications

Sequences and series have various financial applications, particularly in the …

$30.00$60.00

Math 11 – Financial Applications

8 Lessons
Intermediate
What you'll learn
Simple Interest
Compound Interest
Annuities
-50%
Intermediate

Math 11 – Sequences and Series

The Sequences and Series course for Grade 11 provides an …

$30.00$60.00

Math 11 – Sequences and Series

19 Lessons
8 hours
Intermediate
What you'll learn
Creating Rules to Define Sequences
Arithmetic Sequences
Geometric Sequences
Exploring Recursive Sequences
Arithmetic Series
Geometric Series
Pascal's Triangle and Binomial Expansions
-50%
Intermediate

Math 11 – Sinusoidal Functions

Sinusoidal functions, also known as sine and cosine functions, are …

$30.00$60.00

Math 11 – Sinusoidal Functions

18 Lessons
8 hours
Intermediate
What you'll learn
Periodic Functions and Their Properties
Investigating the Properties of Sinusoidal Functions
Transformations of Sinusoidal Functions
Modelling with Sinusoidal Functions
Solving Problems Using Sinusoidal Models
-50%
Intermediate

Math 11 – Exponential Functions

An exponential function is a type of mathematical function where …

$30.00$60.00

Math 11 – Exponential Functions

13 Lessons
8 hours
Intermediate
What you'll learn
Working with Integer Exponents and Algebraic Expressions Involving Exponents
Working with Rational Exponents
Exploring the Properties of Exponential Functions
Transformations of Exponential Functions
Applications Involving Exponential Functions
-50%
Intermediate

Math 11 – Quadratic Functions

A quadratic function is a type of function in mathematics …

$30.00$60.00

Math 11 – Quadratic Functions

16 Lessons
Intermediate
What you'll learn
Properties of Quadratic Functions
Determining Maximum and Minimum Values of a Quadratic Function
The Inverse of a Quadratic Function
The Zeros of a Quadratic Function
Families of Quadratic Functions
Linear – Quadratic Systems
-50%
Intermediate

Math 11 – Equivalent Algebraic Expressions

Equivalent algebraic expressions are expressions that have the same value …

$30.00$60.00

Math 11 – Equivalent Algebraic Expressions

19 Lessons
7 hours
Intermediate
What you'll learn
Radical Expressions
Adding, Subtracting and Multiplying Polynomials
Factoring Polynomials
Simplifying Rational Functions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
-50%
Intermediate

Math 10 – Trigonometry of Acute Triangles

Trigonometry of acute triangles deals with the relationships between the …

$25.00$50.00

Math 10 – Trigonometry of Acute Triangles

12 Lessons
8 hours
Intermediate
What you'll learn
The Sine Law
The Cosine Law
Solve Problems Using Trigonometry
-50%
Intermediate

Math 10 – Trigonometry of Right Triangles

Trigonometry of right triangles is a branch of mathematics that …

$25.00$50.00

Math 10 – Trigonometry of Right Triangles

13 Lessons
8 hours
Intermediate
What you'll learn
Investigate Properties of Similar Triangles
Use Similar Triangles to Solve Problems
The Sine Cosine and Tangent Ratios
Solve Problems Involving Right Triangles
-50%
Intermediate

Math 10 – Quadratic Equations

Quadratic equations are polynomial equations of degree 2, which can …

$25.00$50.00

(1)

Math 10 – Quadratic Equations

5.0/5
(1 rating)
16 Lessons
8 hours
Intermediate
What you'll learn
Maxima and Minima
Solve Quadratic Equations
Graph Quadratics Using the x-Intercepts
The Quadratic Formula
Solve Problems Using Quadratic Equations
Quadratic Equation Review and Test Paper
-50%
Intermediate

Math 10 – Quadratic Expressions

Quadratic expressions are algebraic expressions that involve quadratic terms, which …

$25.00$50.00

(1)

Math 10 – Quadratic Expressions

5.0/5
(1 rating)
14 Lessons
6 hours
Intermediate
What you'll learn
Multiplying Binomial
Factoring Quadratic Expression
-50%
Intermediate

Math 10 – Quadratic Relations

Quadratic relations are algebraic relationships involving quadratic equations. A quadratic …

$25.00$50.00

(1)

Math 10 – Quadratic Relations

5.0/5
(1 rating)
17 Lessons
6 hours
Intermediate
What you'll learn
Quadratic relations are algebraic relationships involving quadratic equations.
A quadratic equation is a polynomial equation of degree 2, which can be written in the general form y= a(x-h)^2+k
Negative and Zero Exponents
-50%
Intermediate

Math 10 – Geometric Properties

In coordinate geometry, various geometric properties can be analyzed and …

$25.00$50.00

(1)

Math 10 – Geometric Properties

5.0/5
(1 rating)
12 Lessons
8 hours
Intermediate
What you'll learn
Investigate Properties of Triangles
Verify Properties of Triangles
Investigate and Verify Properties of Quadrilaterals
Properties of Circles
-50%
Intermediate

Math 10 – Analytic Geometry

Analytic geometry, also known as coordinate geometry, is a branch …

$25.00$50.00

(1)

Math 10 – Analytic Geometry

5.0/5
(1 rating)
22 Lessons
8 hours
Intermediate
What you'll learn
Midpoint of a Line Segment
Length of a Line Segment
Apply Slope, Midpoint, and Length Formulas
Equation for a Circle
-50%
Intermediate

Math 11 – Introduction to Functions

Introduction to Functions is designed to provide students with a …

$30.00$60.00

Math 11 – Introduction to Functions

23 Lessons
8 hours
Intermediate
What you'll learn
Properties of quadratic relations
Transformations of quadratic relations
-50%
Intermediate

Math 10 – Linear Systems

Linear systems refer to a mathematical concept that deals with …

$25.00$50.00

(2)

Math 10 – Linear Systems

5.0/5
(2 ratings)
22 Lessons
8 hours
Intermediate
What you'll learn
By the end of this course, students will model and solve problems involving the intersection of two straight lines;
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