Pasan Perera
Fun, interesting dive into the world of mathematics and calculus! Learn from the best




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Pasan Perera
Bachelors degree
/ 55 min
Pasan - Know your tutor
I am pasan and I look forward to be your calculus tutor. Calculus is the heart of mathematics and I will show you how the foundations of maths tie into the real world. I am an easy going tutor and I enjoy seeing you progress with your understanding. My lessons are highly personalised and will adjust to your learning speed. My specialities include exam preparation and teaching you the foundations before tackling harder problems. I am a practical tutor and will always try to tell you why we do certain things, instead of glossing over the details. The exam prep is dependant on your abilities and my objective is for you to feel confident in maths. I always like to make my lessons engaging and a interactive instead of a one way conversation. I strongly believe that when you teach something, you can retain the knowledge for long period of time. Hence, I always make it a habit for my students to tesch me what i have taught them. I find it valuable for the student such that they can master concepts they never thought was possible. I look forward being your tutor and lets conquer calculus together. It is a great area of study, some find it majestic based on the proofs that come out of it. I am to make you better at this topic.
Pasan graduated from Macquarie University

Specialities of your tutor
Test Strategy
Australian Curriculum (AU)
Homework help
Test prep strategies
Advanced Placement (AP) Program (USA)
AI modules
Summary
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Learnings
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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
Learning Disabilities

Mathematics concepts taught by Pasan
The Student and Tutor engaged in a detailed discussion covering key academic concepts for an assignment, focusing on financial strategy. They analyzed risks related to geographic expansion, optimal dividend policy, and critical considerations for mergers and acquisitions. The Student received guidance on structuring their answers and was provided with real-life business examples for their assignment, which will be drafted and reviewed in a follow-up session.
Risks of Geographic Expansion
Strategic Dividend Policy & Shareholder Value
Critical Considerations in Mergers & Acquisitions (M&A)
The Student and Tutor discussed the requirements for a finance assignment focused on critically evaluating a company's corporate governance, project evaluation methods, financing strategies, geographic expansion risks, dividend policy, and merger considerations. The Tutor provided academic guidance and real-world examples for each section of the assignment, and the Student plans to draft their responses for review in a subsequent session.
Project Investment Appraisal & Resource Allocation
Merger & Acquisition (M&A) Synergies
Optimal Dividend Policy
Risks of Geographic Expansion
Capital Structure & Financing Strategy
Corporate Governance & Financial Leadership
Student and Tutor discussed HSC trial exam preparation, including the strategy of completing and submitting practice papers for marking. They focused on solving multiple-choice questions related to Economics concepts such as automatic stabilizers, emissions trading schemes, balance of payments, real economic growth, and the graphical analysis of quotas, tariffs, and market failures from negative externalities. The Tutor also informed the Student about their unavailability in August due to personal exams and planned to focus on short answer and extended response questions in the next session.
Impact of Quotas on Supply and Price
Market Failure: Negative Externalities and Corrective Taxes
Real vs. Nominal GDP and Economic Growth
Balance of Payments Identity
Emissions Trading Scheme (Carbon Credits)
Automatic Stabilizers vs. Discretionary Fiscal Policy
The Student and Tutor updated a Weighted Average Cost of Capital (WACC) calculation in Excel, ensuring the bond and bank loan components of debt were weighted and calculated separately. Subsequently, they practiced calculating and interpreting several key financial ratios—current ratio, debt-to-equity ratio, quick ratio, interest coverage ratio, and earnings per share—using provided financial statements to assess liquidity, financial gearing, and investor position. The Student will work on completing the ratio analysis for future review.
Debt to Equity Ratio: Measuring Financial Gearing
Current Ratio: A Snapshot of Liquidity
Earnings Per Share (EPS): Shareholder Profitability Metric
Interest Coverage Ratio: Assessing Debt Servicing Ability
Weighted Average Cost of Capital (WACC) Calculation
Student and Tutor collaborated on an assignment, focusing on financial calculations for a company. They reviewed the methodology for determining the market values of equity and debt, capital structure, and the Weighted Average Cost of Capital (WACC). The session also covered the appropriate use and limitations of WACC as a discount rate.
Application & Limitations of WACC
Market Value of Debt (MVD)
Weighted Average Cost of Capital (WACC) After Tax
Market Value of Equity (MVE)
Capital Structure & Component Weights
The Student and Tutor reviewed the Student's past Economics assignment results and discussed current overall academic progress. They explored effective exam preparation strategies and then collaboratively worked through multiple-choice questions from a 2024 Economics HSC paper, covering various core economic concepts. For future sessions, the Tutor suggested the Student source trial papers and outlined plans to focus on short-answer and essay questions.
Monetary Policy: Objectives and Conflicts
Labor Force Participation Rate
Marginal Propensity to Consume (MPC)
Implementation Time Lags of Economic Policies
Appreciation of the Australian Dollar
Economic Impact of Local Content Rules
Roles of International Economic Organizations
Teaching tools used by tutor
Assessment
Quizzes
Digital whiteboard
Lesson Planner
Interactive lessons
Weekend lessons
Open Q&A
Parent feedback
Record lessons
Note taking

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