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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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 methods for solving first-order and second-order differential equations. They practiced techniques such as variable separation, the reverse product rule, and the integrating factor method for first-order equations, along with solving homogeneous and non-homogeneous second-order equations by finding complementary functions and particular integrals. The Tutor assigned practice questions and scheduled the next session for Thursday to begin Chapter 8.
First Order Variable Separable Differential Equations
Second Order Non-Homogeneous Linear Differential Equations (Particular Integral)
Second Order Homogeneous Linear Differential Equations
First Order Linear Differential Equations (Integrating Factor Method)
Differential Equations Solved by Reverse Product Rule
The Student and Tutor worked through a comprehensive session on integral calculus, focusing on hyperbolic functions and advanced integration techniques. They practiced direct integration, u-substitution, applying hyperbolic identities, integration by parts, and specific substitutions for integrals involving square roots. The session involved solving various examples and exercise problems to reinforce these concepts.
Integrating Basic Hyperbolic Functions
U-Substitution for Hyperbolic Integrals
Simplifying Integrands with Hyperbolic Identities
Integration by Parts (UV Rule) for Hyperbolic Functions
Hyperbolic Substitutions for √(x² ± a²)
The Student and Tutor reviewed a wide range of advanced mathematics problems to prepare for an upcoming exam, covering topics such as logarithms, sequences, differential equations, geometric series, and binomial expansions. The Student practiced various problem-solving techniques and is scheduled to take their exam tomorrow, which will lead to them not attending school.
Limits of Sequences and Fixed Points
Arithmetic Progressions with Logarithmic Terms
Polynomial Expansions and Constant Term Extraction
Infinite Geometric Series and Summation Techniques
Solving Advanced Algebraic & Exponential Equations
Logarithm Properties and Factorial Exponents
Differential Equations with Initial Value Problems
The Student and Tutor worked through numerous challenging mathematics problems across various topics, including partial fractions, series, logical fallacies, combinatorics, limits, set theory, function composition, definite integrals, digital roots, quadratic properties, optimization, logarithms, recurrence relations, and combinations. They focused on applying relevant concepts and problem-solving techniques. The Student requested to work on even harder questions in the next session.
Digital Root & Cyclicity of Powers
Arithmetic Mean-Geometric Mean (AM-GM) Inequality
Definite Integral Property: Reflection Identity
Inclusion-Exclusion Principle (for Multiples)
Partial Fractions for Series Summation
Composition of Functions & Periodicity
Student and Tutor worked through a variety of advanced mathematics problems covering topics such as polynomial roots, Vieta's formulas, law of sines, series summation, polynomial division, areas between curves, and logarithmic function graphing. The student practiced applying formulas, identifying patterns, and solving inequalities. They plan to continue with similar problem-solving in the next session, with the tutor offering to send solutions for any lingering questions.
Counting Multiples in a Range
Area of Concentric Rings & Inequality Application
Domain and Range of Logarithmic-Trigonometric Functions
Series Summation through Block Grouping
Law of Sines and Triangle Properties
Vieta's Formulas and Newton's Sums
The session primarily focused on solving a diverse set of mathematics problems covering topics such as logic, algebra, number theory, set theory, logarithms, and inequalities. The Student practiced applying various mathematical concepts and problem-solving strategies, including the principle of contrapositives and inclusion-exclusion. As a follow-up, the Tutor will send a 20-question test on Saturday for the Student to complete.
Principle of Inclusion-Exclusion (for Counting)
Absolute Value Inequalities (Triangle Inequality)
Modular Arithmetic & Properties of Squares
Logarithm Properties
Contrapositive of Conditional Statements
Algebraic Identities & Odd Number Properties
Disproving Universal Claims
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