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 tutor and student reviewed trigonometric formulas related to equilateral triangles and worked through a problem proving a trigonometric identity using double-angle formulas. They also practiced finding the equation of a chord of an ellipse and solving quadratic inequalities, including interpreting absolute value notation.
Trigonometric Identity for Cosine of Double Angle
Equation of a Chord of an Ellipse
Solving Quadratic Inequalities Graphically
Understanding and Expanding Modulus Inequalities
The student and tutor worked through various geometry and coordinate geometry problems, including finding points on lines, reflections, ratios of areas of similar triangles, and the locus of a midpoint. They discussed methods for proving triangle similarity and derived equations for circular paths traced by moving points. The next session will continue with remaining problems and related geometric concepts.
Finding the Closest Point on a Line
Reflection of a Point Across a Line
Similar Triangles and Ratio of Areas
The Ladder Problem and Circular Paths
The session focused on advanced number theory and algebra concepts. The Student and Tutor covered unit digits of products and powers, calculation of trailing zeros in factorials, finding the last non-zero digit in complex products, determining the total number of factors, and applying the binomial theorem to find the greatest coefficient and highest power of x in polynomial expansions. The Student was assigned practice questions from the textbook as homework and was asked to provide the next chapter's material as a PDF for the upcoming class.
Highest Power of X in Complex Polynomial Expressions
Finding the Greatest Coefficient in a Binomial Expansion
Binomial Theorem: General Term & Coefficients
Total Number of Factors (Divisors) of a Number
Unit Digits of Factorial Sums
Trailing Zeros in Factorials
Unit Digits of Powers & Products
The Student and Tutor worked on advanced differentiation techniques including implicit differentiation, trigonometric substitution, and logarithmic differentiation, solving various calculus problems. They also practiced solving exponential equations and number theory problems related to finding factors and multiples. The Student was assigned to complete differential equation questions and review related topics from a textbook.
Counting Factors with Specific Properties (Prime Factorization)
Solving Exponential Equations (Analytical Cases)
Logarithmic Differentiation
Implicit Differentiation
Trigonometric Substitution for Differentiation
The Tutor and Student engaged in an extensive review and practice session on advanced differentiation, covering exponential, logarithmic, and trigonometric functions. They explored the conceptual foundations of derivatives, problem-solving techniques like the chain rule and algebraic manipulation, and the application of derivatives to find gradients and tangent lines. The Student was encouraged to compile a list of derivative formulas and complete assigned textbook problems as homework, with plans to finalize the differentiation topic in the next session.
Secant
Tangent & The Definition of a Derivative
Mastering the Chain Rule for Composite Functions
Differentiation of Exponential and Logarithmic Functions
Differentiation of Trigonometric Functions & Identities
The Derivative as the Gradient of a Tangent Line
The Student and Tutor engaged in a comprehensive session on advanced differentiation techniques. They covered trigonometric, inverse trigonometric, parametric, and implicit differentiation, practicing various rules such as quotient and chain rules. The Student worked through derivations of standard formulas and applied them to example problems, with a plan to continue practicing these concepts.
Differentiating Standard Trigonometric Functions
Second Derivatives and Curve Shape (Concavity/Convexity)
Implicit Differentiation
Parametric Differentiation
Derivatives of Inverse Trigonometric Functions
Applying the Chain Rule for Composite Functions
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