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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1-yr validity
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Student types for classes
Elementary School students
Middle School students
College students
None of the above
High School 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 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
Applying the Chain Rule for Composite Functions
Derivatives of Inverse Trigonometric Functions
Parametric Differentiation
Implicit Differentiation
Second Derivatives and Curve Shape (Concavity/Convexity)
The Student and Tutor reviewed and practiced advanced differentiation techniques, including the Chain Rule, Product Rule, and Quotient Rule, applying them to various complex functions. They also briefly discussed finding stationary points and the properties of exponential functions. For homework, the Student was assigned several exercises from sections 9D and 9E and requested to share past exam papers for future review.
Exponential Function Range and Stationary Points
Equation of the Normal to a Curve
Derivatives of Logarithmic and Exponential Composite Functions
Product Rule
Chain Rule
Quotient Rule
The Student and Tutor reviewed and practiced differentiation of trigonometric, exponential, and logarithmic functions, including finding stationary points. They derived key formulas using the limit definition and worked through various examples. The Student was assigned homework to practice the derivation of d/dx(cos x) and complete specific problems from the textbook for the next session, scheduled for Friday.
The Essence of Derivatives: Rate of Change and Gradient
Mastering Trigonometric Derivatives
Navigating Stationary Points and Curve Analysis
Demystifying Exponential Derivatives
Decoding Logarithmic Derivatives
Constructing Equations of Tangents and Normals
The session focused on foundational algebraic concepts, including defining algebra, distinguishing between expressions and equations, and solving various types of equations. Student and Tutor practiced solving simple linear equations, consecutive number word problems, age-related word problems, and equations involving algebraic fractions. They also reviewed the rules for manipulating inequalities and the concepts of HCF and LCM, and discussed adjusting future lesson plans based on the Student's syllabus.
Solving Linear Equations: Basic Principles
Fractions in Algebra: HCF
LCM & Operations
Understanding Inequalities: Sign Reversal Rule
Age-Related Problems: Setting Up Equations
Consecutive Numbers & Word Problems
Introduction to Algebra: Variables
Expressions & Equations
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
Conic Sections: Parabola Properties
Vector Geometry: Areas and Volumes
T-Formulae for Double Angle Identities
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.
Euler's Method (Forward Difference Formula)
Simultaneous Equations in Numerical Methods
Numerical Methods for Differential Equations
Second-Order Differential Equations & Numerical Solutions
Teaching tools used by tutor
Digital whiteboard
Solvers & Calculators
Assessment
Practice worksheets
Visualization & Exploration
Interactive lessons
Record lessons
Note taking
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