Dr. Theertha Nair A
Personalized one-to-one online Mathematics classes designed to strengthen fundamentals and develop interest towards the subject.
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Dr. Theertha Nair A
Doctorate degree
/ 55 min
Dr. Theertha - Know your tutor
I am Dr. Theertha Nair A. I am currently working as a college lecturer in Kerala, and teaching has always been part of my life. Both my parents are teachers, and from childhood I grew up watching them, slowly dreaming of becoming a college teacher one day—and here I am. While teaching in college, I met many students who struggled even with basic concepts, not because they lacked ability, but because their foundations were weak. I don’t blame students or teachers; both share that responsibility. For me, mathematics is not just numbers—there is a beautiful story behind every concept. I believe teachers should help students see that story and fall in love with the subject. I may not change the world, but if I can make a small positive change for a small group of future learners, that itself is meaningful. And that is why I am here. I started learning maths from scratch and slowly grew into a Doctor of Mathematics, so I know the struggles well. In my class, everything is made to make sense. Instead of only asking “why”, I help students think “why not”. If you want to enjoy maths, understand it deeply, and build real confidence—not just learn formulas—this class is for you.
Meet Dr. Theertha
Dr. Theertha graduated from University of Madras
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15-days refund
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1-yr validity
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Middle School students
None of the above
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Elementary School students
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Class overview
I focus on building strong fundamentals from the very beginning, ensuring students truly understand concepts instead of memorizing formulas. I encourage curiosity and questions, helping students see the story behind every number, and guide them from asking “why” to thinking “why not.” My classes are designed to make learning enjoyable, develop real understanding, and inspire a lasting love for mathematics. Having taught over 200 students, I excel in adapting lessons to different learning levels, using interactive methods, examples from real life, and personalized guidance. I believe every student can excel when their fundamentals are strong, and I aim to build confidence, logical thinking, and problem-solving skills so students not only perform well in exams but also develop a genuine interest and passion for mathematics that lasts a lifetime.
Dr. Theertha also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Dr. Theertha
The Student and Tutor reviewed various graph sketching techniques for different types of functions, including logarithmic, trigonometric, exponential, rational, cubic, and implicit equations. They focused on identifying key features like symmetry, intercepts, asymptotes, and turning points. The session concluded with a discussion of the next chapter, Trigonometry, and the Tutor requested the Student to share the relevant material.
Graphing Logarithmic Functions: `y = log₁₀(x² - 4x + 5)`
Graphing Trigonometric Functions: `y = cos(4x)sin(x)`
Graphing Exponential Functions: `y = 2^(x² - 2x + 5)`
Advanced Graph Transformations: Sequential Reflections
Turning Points of Cubics (Non-Differential Method)
Rational Function Graphing: `y = (x² + 4) / ((x + 1)(x - 3))`
The session focused on various calculus problems, including finding functions from derivatives, solving differential equations, calculating areas enclosed by curves, and comparing definite integrals using inequalities. The Student actively practiced applying integration techniques and algebraic simplification. For follow-up, the Tutor assigned a test for Sunday, incorporating questions similar to TMUA paper one, covering topics discussed.
Antidifferentiation with Initial Conditions
Solving Differential Equations via Substitution
Quadratic Factorization: Splitting the Middle Term
Definite Integrals and Dummy Variables
Area Enclosed by Curves
Comparing Definite Integrals Using Inequalities
The Student and Tutor worked through several advanced mathematics problems, including determining the degree of differential expressions, calculating areas bounded by curves using integral and geometric methods, and comparing trigonometric integrals using specific properties. They also practiced finding real solutions for equations involving definite integrals by analyzing function ranges and graphs. The next session is planned to cover differential equations.
Determining Integral Signs & U-Substitution
Analyzing Solutions for Equations with Integrals
Properties of Definite Integrals for Comparison
Finding Area Bounded by Curves (Circle & Line)
Polynomial Degree after Differentiation
The Student and Tutor worked through several problems related to definite integrals and function properties. They covered graph transformations, calculating the area enclosed by different types of curves, and applying properties of even functions to solve integral problems. The session also introduced the Trapezium Rule for numerical integration and reviewed Geometric Progression concepts as preparation for a new problem.
Graph Transformations: Shifting
Scaling & Reflecting Functions
Area Enclosed by Curves: Integration Application
Integral Translation Property for Area Simplification
Even Functions and their Integral Properties
Trapezium Rule for Numerical Integration
Geometric Progressions (GP) and Their Sums
The Student and Tutor engaged in an intensive session focused on advanced problem-solving across various mathematics topics. They worked through questions involving algebraic manipulation, polynomial theory, coordinate geometry (circles, locus), and calculus (differentiation, optimization). The Student actively applied problem-solving techniques and concepts, with the Tutor providing strategic guidance on approach and simplification. For follow-up, the Student was tasked with sending remaining practice problems from their chapter six materials for review in the next session.
Volume Maximization of an Inscribed Cylinder (Similar Triangles)
Solving Simultaneous Equations by Substitution & Factorization
Monic Quartic Polynomials & Remainder Theorem
Equation of a Circle: Standard Form & Completing the Square
Maximizing Triangle Area with Geometric Constraints
Normal Line to a Parabola & Intersection Points
Stationary Points & Second Derivative Test (Calculus)
The Tutor and Student worked through calculus problems involving stationary points, differentiation, and root-finding for polynomial equations. They practiced algebraic manipulation to prove inequalities and analyzed function graphs to determine the number of real roots, including cases where f(x) equals a constant other than zero. The next session is planned for Sunday, with the student to practice the concepts covered.
Stationary Points and Second Derivative Test
Determining the Number of Real Roots
Solving Equations by Rearranging and Substitution
Graphical Interpretation of f(x) = c
Teaching tools used by tutor
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Interactive lessons
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