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)
GCSE (UK)
Practice Tests
International Baccalaureate (IB)
State-Specific Standards (USA)
Test prep strategies
Problem Solving
Common Core State Standards - CCSS (USA)
Provincial-specific curriculum (CA)
Learning Plans
Quick Math Games
Gamification of Math
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
High School students
Anxiety or Stress Disorders
Home schooled
Middle School students
College students
Swathy also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Swathy
The Student and Tutor reviewed homework on polynomial multiplication, focusing on correcting errors in combining like terms and handling negative signs. The session then introduced and practiced the FOIL method for multiplying binomials, working through several examples. The remaining practice problems using the FOIL method were assigned as follow-up work for the next session.
Polynomial Multiplication Basics
The FOIL Method for Binomial Multiplication
Mastering Signs in Polynomial Multiplication
The Student and Tutor reviewed polynomial addition and subtraction, then delved into polynomial multiplication. They covered the distributive property, the law of exponents, and practiced various multiplication problems, including monomials and binomials. The Tutor assigned 10 practice questions for homework to be reviewed in the next session.
Polynomial Addition & Subtraction Review
Sign Rules for Multiplication
Distributive Property for Polynomials
Combining Like Terms in Multiplication
Law of Exponents for Multiplication
The session focused on practicing the subtraction of polynomials, with the Student working through several problems. The Tutor addressed common errors related to sign changes and provided a comprehensive review of the rules for adding and subtracting signed numbers. The plan for the next class is to cover multiplication and division of polynomials, building on the reinforced understanding of addition and subtraction.
Rules for Adding Integers (Signed Numbers)
Rules for Subtracting Integers (Signed Numbers)
Grouping and Combining Like Terms
Standard Form of Polynomials
Subtraction of Polynomials
The Student and Tutor began the session by introducing polynomials, covering their definition, classification based on the number of terms, and how to determine their degree. They then moved on to polynomial operations, specifically addition and subtraction, practicing several addition problems. The plan for the next session includes practicing subtraction and then proceeding to multiplication and division of polynomials.
What are Polynomials?
Classifying Polynomials by Number of Terms
Understanding the Degree of a Polynomial
Identifying Like Terms
Adding Polynomials
Subtracting Polynomials
Student and Tutor reviewed homework on systems of linear equations, specifically addressing a challenging temperature-related problem and the proper methodology for presenting solutions. The student then took a mini-test on solving word problems using two variables, successfully completing most and reviewing the solution to a complex elevator problem. For the next session, they planned to begin studying polynomials and factoring.
Deconstructing Word Problems into Systems of Linear Equations
Applying the Elimination Method Effectively
Structured Solution Presentation for Exams
The Student and Tutor reviewed solving systems of two-variable linear equations, addressing common algebraic errors in manipulation and equation setup. They subsequently practiced forming and solving linear equations derived from various word problems, including those involving ticket sales, animal counts, and financial transactions. Additional word problems were assigned as homework, and the schedule for upcoming sessions was confirmed.
Solving Systems of Linear Equations by Elimination
Interpreting Keywords in Financial Word Problems
Forming Linear Equations from Word Problems
Standard Form and Rearrangement of Equations
Sign Management During Equation Addition/Subtraction
Teaching tools used by tutor
Graphing Tools
Presentations
Math Games
Visualization & Exploration
Lesson Planning Tools
Quizzes
Assessment
Interactive lessons
Note taking
Mobile joining
Record lessons
Open Q&A
Weekend lessons
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Every tutor is interviewed and selected for subject expertise and teaching skill.