Swathy Mugundan
Making mathematics simple and practical. Build strong math foundations with a personalised expert tutor !
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Swathy Mugundan
Masters degree
/ 55 min
Swathy - Know your tutor
With a B.Tech and M.Tech in Computer Science & Engineering, mathematics has been the backbone of everything I've studied and built. I bring 6+ years of online teaching, 2 years of professional classroom experience, and 4+ years in the industry — so I teach math not as a set of formulas to memorize, but as a tool you actually use to think, model, and solve. Topics includes Arithmetic, Algebra, Number Systems, Percentages, Ratios , Geometry, Trigonometry, Mensuration, Coordinate Geometry Higher Math: Calculus (Differentiation & Integration), Matrices & Determinants, Vectors, Complex Numbers, Sequences & Series, Linear Algebra, Probability & Statistics, Discrete Mathematics, Set Theory, Logic, Graph Theory, Permutations & Combinations, Aptitude & Reasoning: Quantitative aptitude and logical reasoning for placements and competitive exams Classes are completely practical and fully customised to each student's level. Every concept is taught through worked problems, step-by-step derivations, and real-world applications, so you understand why a method works before you apply it. Where useful, I demonstrate concepts visually or through tools like Python, Excel, and graphing utilities to make abstract ideas concrete. Who I work with School students strengthening fundamentals and preparing for board exams, college and engineering students tackling higher mathematics, and working professionals brushing up for data, analytics, or competitive exams. Beyond the classroom * Topic-wise assignments and practice sets with detailed feedback * Regular doubt-clearing support between sessions Exam strategy, time management, and problem-solving techniques * One-on-one mentorship and long-term learning plans
Swathy graduated from Pondicherry Engineering College
Specialities of your tutor
Practice Tests
Australian Curriculum (AU)
Advanced Placement (AP) Program (USA)
Learning Plans
Test Strategy
Homework help
Problem Solving
Next Generation Science Standards - NGSS (USA)
International Baccalaureate (IB)
Math Tricks and Hacks
Common Core State Standards - CCSS (USA)
New Zealand Curriculum - NZC (NZ)
CoTutorAI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
Zero Risk Guaranteed
15-days refund
Free tutor swap
No cancel fee
1-yr validity
24/7 support
Student types for classes
Anxiety or Stress Disorders
College students
Middle School students
High School students
Home schooled
Swathy also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Swathy
The tutor introduced and demonstrated the cross-multiplication method for solving systems of two linear equations with two variables. The student practiced applying the formula after converting equations to standard form, with the tutor reinforcing calculation accuracy, particularly with negative numbers. Four practice problems were assigned for independent work.
Cross Multiplication Method Prerequisites
Standard Form of Linear Equations for Cross Multiplication
Cross Multiplication Formula
Step-by-Step Application of Cross Multiplication
The tutor and student worked through several age-related word problems, focusing on setting up and solving linear equations. The student practiced translating word problems into mathematical equations and solving for the unknown ages. The next session will continue with similar problems and may cover cross-multiplication methods.
Age Word Problems: Setting Up Equations
Representing Ratios in Age Problems
Solving Systems of Linear Equations in Age Problems
The tutor and student reviewed methods for solving systems of linear equations, including substitution. They practiced setting up and solving word problems involving ratios, geometry, ages, and number partitions, with a plan to cover more complex equation setups in the next session.
Age Word Problems
Dividing a Number into Two Parts
Perimeter of Rectangles
Substitution Method for Linear Equations
Solving Word Problems with Ratios
The tutor and student worked through various algebraic word problems, focusing on setting up expressions and equations from given information. They practiced solving for unknown variables and applying formulas, with a specific emphasis on algebraic substitution and handling negative numbers in calculations. The next session is planned to cover methods for solving linear equations like cross-multiplication.
Perimeter of a Rectangle
Substitution in Algebraic Expressions
Solving Linear Equations with Multiple Variables
Combining Like Terms
Algebraic Expressions in Word Problems
The Tutor and Student reviewed function concepts, including domain, range, and co-domain, by working through examples of linear, quadratic, and rational functions. They practiced calculating these values from given data and by analyzing function definitions, and discussed the general domain/range characteristics of different function types.
Domain
Range
and Codomain
Types of Functions and Their Domains/Ranges
Set Notation for Domain and Range
The tutor and student reviewed the definition and representation of functions, focusing on domain, range, and co-domain. They practiced identifying these elements from given functions and diagrams, and the student was assigned practice problems to reinforce the concepts for the next session.
Domain and Range
Representing Functions
Co-domain
Functions
Teaching tools used by tutor
Assessment
Practice worksheets
Lesson Planner
Solvers & Calculators
Graphing Tools
Lesson Planning Tools
Math Games
Interactive lessons
Note taking
Parent feedback
Weekend lessons
Open Q&A
Chat for quick help
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Every tutor is interviewed and selected for subject expertise and teaching skill.