Swathy Mugundan
Score higher in AP Calculus, Algebra and CS with customised, concept-driven coaching from an expert Mentor !
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Swathy Mugundan
Masters degree
/ 55 min
Swathy - About your AP tutor
I'm a B.Tech and M.Tech graduate in Computer Science & Engineering with 6+ years of online teaching, 2 years of professional classroom experience, and 4+ years in the software industry. I help AP students master both the rigour of the exam and the reasoning behind it. AP Calculus (AB & BC) Limits and continuity, derivatives and their applications, related rates, optimization, integration techniques, Fundamental Theorem of Calculus, differential equations, series and polar/parametric topics for BC. Algebra & Precalculus Functions and transformations, polynomial and rational expressions, exponential and logarithmic functions, systems of equations, sequences, trigonometry, matrices and vectors — the foundation every AP Calculus student needs solid before Unit 1. AP Computer Science (A & Principles) Java fundamentals, objects and classes, inheritance, arrays and ArrayLists, 2D arrays, recursion, sorting and searching algorithms, plus the CSP pillars — data, algorithms, abstraction, the internet, and the Create Performance Task. How I teach Classes are completely practical and customised to each student's level. I start with a diagnostic, map the gaps, and build a plan around them. Every concept is taught through worked FRQ-style problems and past-paper MCQs, with live coding in real IDEs for CS. Students get topic-wise assignments, detailed feedback, doubt support between sessions, and full exam strategy — pacing, scoring rubrics, and calculator technique.
Swathy graduated from Pondicherry Engineering College
AP tutor test prep specialities
Concepts learning
College Credit
AP Scoring Insights
Test taking techniques
Study Plans
Grade improvement
CoTutorAI modules
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Learnings
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1-yr validity
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Swathy - also teaches
AP Calculus AB
AP Calculus BC
AP Computer Science A
AP Computer Science Principles
AP Precalculus
AP Statistics
AP concepts taught by Swathy
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
Algebraic Expressions in Word Problems
Combining Like Terms
Solving Linear Equations with Multiple Variables
Substitution in Algebraic Expressions
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.
Functions
Domain and Range
Co-domain
Representing Functions
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
Mastering Signs in Polynomial Multiplication
The FOIL Method for Binomial 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)
Subtraction of Polynomials
Standard Form of Polynomials
Rules for Subtracting Integers (Signed Numbers)
Grouping and Combining Like Terms
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AP Assessments
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Effective AP classes
Record lessons
Parent feedback
Open Q&A
Mobile joining
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