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
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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 Student and Tutor practiced solving various word problems, focusing on translating problem statements into algebraic equations. They worked on linear equations and systems of equations involving concepts like the perimeter of a rectangle and age relationships. The Tutor assigned a practice question for homework and asked the Student to determine the next topic for their upcoming session.
Translating Word Problems into Algebraic Equations
Solving Systems of Linear Equations
Strategies for Geometric Word Problems (Perimeter)
Strategies for Age-Related Word Problems
Common Pitfalls in Equation Solving
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
Standard Form of Linear Equations
Practical Application: Solving with Diagrammatic Cross-Multiplication
The Diagrammatic Cross-Multiplication Method
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.
Dividing a Number into Two Parts
Age Word Problems
Solving Word Problems with Ratios
Substitution Method for Linear Equations
Perimeter of Rectangles
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