About

Governor General's Academic Medal for achieving the highest grade average in the school

Bachelor of Mathematics - Honors Statistics (University of Waterloo)

Bachelor of Business Administration - Honors Finance (Wilfrid Laurier University)

-   Graduated with Dean's Honors (graduating average 90%)

-   Leslie Klein Mathematics Scholarship for mathematics excellence (Yr 1 Calculus & Algebra averaging 99%)

-   Rene Descartes Entrance Scholarship (University of Waterloo Descartes Contest score 82%)

Master of Business Administration - Applied Economics (University of Rochester)

-   Entrance Fellowship Grant

GRE/GMAT for Graduate School: Verbal (English) 95 percentile, Quant (Math) 99 percentile

15 years of industry experience in insurance pricing, banking risk management, and data science

Grade 6 Mathematics

Grade 7 Mathematics

Grade 8 Mathematics

Grade 9 Mathematics

Grade 10 Mathematics

Grade 11 Functions

Grade 11 Physics

Grade 12 Advanced Functions

Grade 12 Calculus and Vectors

Grade 12 Data Management

Grade 12 Physics

Calculus I - Year 1

-   Limits and Continuity

-   Derivatives and Differentiation Rules

-   Applications of Differentiation

-   Riemann Integral and Approximation

-   Antiderivatives and the Fundamental Theorem of Calculus

-   Integration Techniques

-   Applications of Integration (Arc Length, Surface Area, Volume of Rotation)

-   Differential Equations

-   Sequence and Series; Convergence Tests

-   Power Series and Taylor Series

-   Parametric Equations and Polar Coordinates

Linear Algebra - Year 1

-   System of Linear Equations

-   Matrix Algebra 

-   Vector Spaces, Subspaces, Nullity, Rank, and Basis

-   Linear (In)dependence, Base and Dimension

-   Linear Transformation and Matrix Representation

-   Matrix Operations, Determinant, Eigenvectors, and Diagonalization

Classical Algebra - Year 1

-   Mathematical Language, Logic, and Proof Techniques

-   Integer and Diophantine Equations

-   Congruence, Divisibility, and Integers Modulo n

-   Function and Bijection

-   Complex Numbers

-   Polynomial Equations and the Fundamental Theorem of Algebra

Principles of Microeconomics - Year 1

-   Economic Foundation - Core Principles

-   Market Dynamics - Supply-Demand, Taxes, Regulations, Market Failure, Trade

-   Externalities

-   Cost Curves and Production Decisions

-   Price Discrimination 

-   Adverse Selection, Moral Hazard, Uncertainty, Risk Aversion, and Game Theory

Principles of Macroeconomics - Year 1

-   Macroeconomic Concepts, GDP, Unemployment, and Inflation

-   AD, AS, Phillips Curve, Keynesian vs Classical approaches, and Fiscal Policy

-   Rate Market, Money Market, Money Multiplier, and Monetary Policy

-   Trade and Foreign Exchange

Calculus II - Year 2

-   Multivariate Limits, Continuity

-   Partial Derivatives, Tangent Plane, Linear Approximation (Jacobian)

-   Gradient Vector, Directional Derivative

-   Max/Min (Hessian), Constrained Optimization using Lagrange Multiplier

-   Double Integrals in Rectangular and Polar Coordinates

-   Triple Integrals in Rectangular, Cylindrical, and Spherical Coordinates 

-   Vector Calculus

Linear Algebra - Year 2

-   Orthogonal Transformation, the Gramm-Schmidt 

-   Least Squares

-   Matrices and Transformations

-   Orthogonal Diagonalization

-   Singular Value Decomposition

Intermediate Microeconomics - Year 2

- Consumer Theory: Preference, Utility, and Budget Constraint

-   Marshallian vs Hicksian Demand Functions

-   Slutsky Equation, Substitution vs Income Effects

-   Production Technology: Cobb-Douglas, Leontief, Linear, and Constant Elasticity of Substitution

-   Producer Theory: Supply, Profit Maximization, and Cost Minimization

-   Game Theory

Financial Management I - Year 2

-   Time Value of Money

-   Bonds

-   Stocks

-   Risk-Adjusted Return, Diversification, and Portfolio Theory

-   Options and Futures

Microeconomics Theory - Year 3

-   Preference and Utility Functions

-   Utility Maximization, Expenditure Minimization

-   Production Theory: Technology, Profit Maximization

-   Monopoly: Production and Pricing Decisions, Price Discrimination, Welfare

-   Game Theory: Simultaneous Move Games, Extensive Form Games, Repeated Games

-   Game Theory Oligopoly Applications: Cournot, Stackelberg, Bertrand

Introductory Econometrics - Year 3

-   Ordinary Least Square Estimator (OLS)

-   OLS Properties and Distribution

-   Multi-Regressor OLS Estimation

-   Causal Inference Using OLS, F-statistic vs. Joint t-statistics

-   Instrument Variable, 2-Stage Least Square Estimation

-   Instrument Variable Tests for Robust Estimation

Financial Management II - Year 3 

-   Capital Budgeting

-   Weighted Average Cost of Capital (WACC)

-   Capital Structure

-   Dividends and Stock Repurchase

-   Free Cash Flow and Discounted Cash Flow (DFC)

-   Mergers and Acquisitions

SAT

GRE/GMAT