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
Australian Curriculum (AU)
Common Core State Standards - CCSS (USA)
Learning Plans
A-Levels (UK)
Practice Tests
Gamification of Math
Math Tricks and Hacks
Advanced Placement (AP) Program (USA)
Homework help
Next Generation Science Standards - NGSS (USA)
Test Strategy
Problem Solving
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
Home schooled
Anxiety or Stress Disorders
College students
High School students
Middle School students
Swathy also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Swathy
The Student and Tutor reviewed the Student's upcoming math syllabus and focused on practicing age-related word problems involving ratios. The Student worked through several problems, refining their ability to set up equations and apply cross-multiplication. For follow-up, the Student is to share new school-taught content for the next session.
Distinguishing Timelines in Age Problems
Solving Age Word Problems with Sums and Past Relationships
Mastering Cross Multiplication for Ratio Equations
Setting Up Age Word Problems with Ratios
Student and Tutor worked on solving systems of linear equations using the cross-multiplication method. They reviewed how to standardize equations and practiced a new diagrammatic technique to avoid common calculation errors. The next session will focus on interpreting and forming equations from word problems.
Identifying Coefficients for Linear Systems
The Diagrammatic Cross-Multiplication Method
Practical Application: Solving with Diagrammatic Cross-Multiplication
Standard Form of Linear Equations
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.
Standard Form of Linear Equations for Cross Multiplication
Cross Multiplication Formula
Step-by-Step Application of Cross Multiplication
Cross Multiplication Method Prerequisites
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.
Representing Ratios in Age Problems
Solving Systems of Linear Equations in Age Problems
Age Word Problems: Setting Up Equations
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.
Solving Word Problems with Ratios
Dividing a Number into Two Parts
Age Word Problems
Perimeter of Rectangles
Substitution Method for Linear Equations
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
Teaching tools used by tutor
Solvers & Calculators
Visualization & Exploration
Graphing Tools
Presentations
Lesson Planning Tools
Digital whiteboard
Practice worksheets
Interactive lessons
Parent feedback
Note taking
Open Q&A
Record lessons
Chat for quick help
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