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
Specialities of your tutor
Homework help
Math Tricks and Hacks
Test prep strategies
Practice Tests
Problem Solving
CoTutorAI modules
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1-yr validity
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Student types for classes
High School students
Middle School students
Elementary School students
None of the above
College students
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 session focused on advanced mathematics topics including differentiation, conic sections (parabolas and tangents), trigonometry using t-formula, and vectors. Student and Tutor practiced problem-solving techniques for finding derivatives and tangent equations, and reviewed vector formulas for area and volume. The Student was assigned specific textbook questions for revision ahead of an upcoming exam, particularly focusing on areas of past difficulty like conic sections and linear transformations.
Implicit Differentiation (Total Differentiation)
Equations of Tangents and Normals
T-Formulae for Double Angle Identities
Vector Geometry: Areas and Volumes
Conic Sections: Parabola Properties
The Tutor and Student worked through numerical methods for solving differential equations, practicing Euler's method, the midpoint method, and forward difference approximations. They also covered numerical solutions for second-order differential equations and complex problems requiring simultaneous equations, with plans for a test on these topics.
Simultaneous Equations in Numerical Methods
Second-Order Differential Equations & Numerical Solutions
Numerical Methods for Differential Equations
Euler's Method (Forward Difference Formula)
The Student and Tutor practiced solving various advanced mathematics problems covering vectors, parabolas, and hyperbolas, including calculating areas and volumes, deriving equations of lines and tangents, and applying integration techniques. The Student was assigned homework to solve two specific problems and observe how graph variations occur with changes in constants, with a deadline of 24 hours.
Volume of a Parallelepiped
Rectangular Hyperbola: Invariant Properties
Tangent Equations for Conic Sections
Parabola Fundamentals: Focus
Directrix
& Chords
Vector Area of a Triangle
The student and tutor reviewed and practiced trigonometric identities, specifically focusing on the t-substitution method (t = tan(theta/2)) for solving trigonometric equations. They worked through several problems involving algebraic manipulation and application of these formulas, and planned to continue practicing similar problems in the future.
Trigonometric Identities with 't-substitution'
Trigonometric Identities and Their Derivations
Solving Trigonometric Equations with 't-substitution'
Factorization of Trigonometric Expressions
The tutor and student reviewed and solved advanced problems in trigonometry, coordinate geometry, and conic sections. They practiced techniques for solving trigonometric equations, finding tangents to circles, and deriving parabola equations. The next session will continue with t-formulae, and the student will submit a solved homework problem.
Solving Trigonometric Equations with Substitution
Tangents to Circles: Discriminant Method
Parabola: Cartesian Equation from Focus and Directrix
Trigonometric Identities and the t-formulae
The tutor and student reviewed concepts related to normal distribution, including Z-scores, percentiles, and the approximation of binomial distributions using normal distributions. They practiced solving problems involving these concepts and touched upon hypothesis testing for sample means, with the tutor offering to clarify specific areas of confusion.
Normal Distribution & Standardisation
Percentiles and Inverse Normal Distribution
Approximating Binomial with Normal Distribution
Teaching tools used by tutor
Graphing Tools
Digital whiteboard
Lesson Planner
Visualization & Exploration
Assessment
Interactive lessons
Note taking
Open Q&A
Chat for quick help
Parent feedback
Weekend lessons
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