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 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.
Geometric Progressions (GP) and Their Sums
Trapezium Rule for Numerical Integration
Even Functions and their Integral Properties
Area Enclosed by Curves: Integration Application
Graph Transformations: Shifting
Scaling & Reflecting Functions
Integral Translation Property for Area Simplification
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)
Normal Line to a Parabola & Intersection Points
Stationary Points & Second Derivative Test (Calculus)
Maximizing Triangle Area with Geometric Constraints
Equation of a Circle: Standard Form & Completing the Square
Monic Quartic Polynomials & Remainder Theorem
Solving Simultaneous Equations by Substitution & Factorization
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.
Determining the Number of Real Roots
Graphical Interpretation of f(x) = c
Solving Equations by Rearranging and Substitution
Stationary Points and Second Derivative Test
The student and tutor worked through advanced calculus problems involving finding maximum and minimum values of functions, applying trigonometric identities, and understanding function composition. They practiced problem-solving techniques for cubic functions, recursive functions, and composite functions, with the tutor providing step-by-step guidance and the student asking clarifying questions. Homework was assigned, including specific practice questions related to function analysis.
Maximizing Trigonometric Functions
Finding Extrema of Cubic Functions
Function Composition and Iteration
Recursive Function Definitions and Minimum Values
Solving Inequalities Graphically and Algebraically
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.
Solving Quadratic Inequalities Graphically
Understanding and Expanding Modulus Inequalities
Equation of a Chord of an Ellipse
Trigonometric Identity for Cosine of Double Angle
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
The Ladder Problem and Circular Paths
Similar Triangles and Ratio of Areas
Reflection of a Point Across a Line
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