In my Teaching Statement , I discussed about my teaching philosophy and the various methods I like to use in my classes. You are welcome to look at it if you are interested in learning more about it!

Fall 2024, University of North Florida, MAC2313 - Calculus III

Fall 2024, University of North Florida, MAS3105 - Linear Algebra

Summer 2024, Simmons University, STAT 118 - Introduction to Statistics

Content of the course: Data, Categorical and Quantitative Variables, Models, Mean, Median, Quartiles, Standard Deviation, Frequency tables, Pie Charts, Bar Charts, Histograms, Density plots, Contingency Tables, Boxplots, Conditional Distributions, Scatterplots, Association, Correlation, Linear Regression, Probability, Conditional Probability, Independence, Bayes' Rule, Sampling Distribution, Confidence Interval, Central Limit Theorem, Hypotheses, P-Values.

Spring 2024, Simmons University, MATH 121 - Calculus II

Content of the course: Functions, Antiderivatives, Integral of a real-valued function, Fundamental Theorem of Calculus, Substitution rule, Integration by parts, Partial fractions, Improper Integrals, Areas between curves and areas, Volumes, Sequences, Series, Power Series, Taylor Series, Differential Equations.

Additional: Introduction Chapter1 (with Exercises, Limit1, Derivative1) Chapter2 (Exercises, Homework1 (with solutions)) Chapter3 (Exercises, Hyperbolic, Homework2 (with solutions), Midterm1) Chapter4 (Exercises, Homework3 (with solutions)) Chapter5 (Exercises, Homework4, Midterm2, Convergence1) Chapter6 (Exercises, Midterm3, Homework5, Exponential1) FinalExam

Spring 2024, Simmons University, MATH 220 - Multivariable Calculus

Content of the course: Parametric curves, Length of a curve, Vectors in R2 and R3, Dot product, Polar coordinates, Spherical coordinates, Limits and continuity, Partial derivatives, Directional derivatives, Gradient, Clairaut's theorem, Local minimum/maximum, Integration, Fubini's theorem, Least square method, Applications to PDEs.

Additional: Introduction Chapter1 (with Exercises, Homework1 (with solutions)), PythonRiemann, PythonCurves) Chapter2 (Exercises, Homework2 (with solutions), Midterm1) Chapter3 (Exercises, Homework3 (with solutions), Laplace1) Chapter4 (Exercises, Midterm2, Extrema1) Chapter5 (Exercises, Homework4, Sphere1) FinalExam 

Fall 2023, Simmons University, MATH 123 - Single Variable Calculus

Content of the course: Functions, Graph of a function, Limit of a function, Continuity, Inverse functions, Exponential and logarithm functions, Derivative of a function, Maximum and minimum values, Mean value Theorem, Newton’s method, Antiderivatives, Integral of a real-valued function, Fundamental Theorem of Calculus, Improper Integrals, Sequences, Series, Power Series, Taylor Series, Vectors in R2, Dot product, Polar Coordinates. For additional informations concerning the course, see MATH 123 - Syllabus. 

Additional: Preliminaries (with Solutions) Chapter1 (with Python1, Exercises, Solutions, Homework1 (with Solutions)) Chapter2 (with Exercises, Homework2 (with Solutions), Midterm1) Chapter3 (with Exercises) Chapter4 (with Exercises, Howemork3 (with Solutions)) Chapter5 (Python2, Exercises, Homework4 (with Solutions), Midterm2, Homework5 (with Solutions)) Chapter6 (Homework6 (with Solutions)) FinalExam

Fall 2023, Simmons University, MATH 323 - Real Analysis

Content of the course: Construction of real numbers, Upper bound and lower bound, Cauchy sequences, Limit of a sequence, Series and convergence tests (alternating series test, Ratio and root test), Riemann integral, Fundamental theorem of calculus, Improper integrals, Sequences and series of functions, Power series and Fourier series. For additional informations concerning the course, see MATH 323 - Syllabus. 

Additional: Chapter1 (with Solutions, Homework1 (with Solutions)) Chapter2 (with Exercises, Solutions, Homework2 (with Solutions)) Chapter3 (with Exercises, Homework3 (with Solutions)) Chapter4 (Python, Homework4-PartI (with Solutions), Homework4-PartII (with Solutions)) Chapter5 (Homework5 (with Solutions)) FinalExam

Winter 2023, Undergraduate course, University of Ottawa, MAT 1741  - Introduction to Linear Algebra

Content of the course: Review of vector and scalar products, orthogonal projections. Introduction to vector spaces, linear independence, bases, correspondence between linear maps and matrices, Kernel and Image of a linear transformation. Solution of systems of linear equations, matrix algebra, determinants, eigenvalues and eigenvectors. Applications to geometry and differential equations) For additional informations concerning the course, see MAT1741 - Syllabus.

The lecture notes of the course can be found here.

Additional: Midterms MT1-V1 MT1-V2 MT2-V1 MT2-V2 (with solutions MT1-V1 MT1-V2 MT2-V1 MT2-V2), Final Exam FE (with solutions FE), Exercices EX1 EX2 EX3 EX4 EX5 EX6 EX7 (with solutions EX1 EX2 EX3 EX4 EX5 EX6 EX7).

Fall 2022, Undergraduate course, University of Ottawa, MAT 2742 - Applied Linear Algebra

Content of the course: Review of vector spaces, Basis of a vector space, Linear maps, Matrix algebra, Determinant and inverse of a matrix, Eigenvalues and eigenvectors, Diagonalization, Linear discrete dynamical systems, Constant-recursive sequence, System of differential equations, Stochastic matrices and Markov chains, Simplex method, Inner products, Orthogonality, Projections, Gram-Schmidt process, Quadratic forms, Least squares approximation and statistics, Diagonalization of symmetric matrices, Singular value decomposition. For additional informations concerning the course, see MAT 2742 - Syllabus. 

The lecture notes of the course can be found here  (the correction of some exercices can be found here). 

Additional: Homeworks HW1 HW2 (with solutions HW1 HW2), Midterms MT1 MT2 (with solutions MT1 MT2), Final Exam FE (with solutions FE).

Winter 2022, Undergraduate course, University of Ottawa, MAT 2525  - Elementary Real Analysis 

Content of the course: Construction of real numbers, Upper bound and lower bound, Cauchy sequences, Limit inferior and limit superior, Series and convergence tests (alternating series test, Ratio and roor test), Topology in Rn, Compact sets and Heine-Borel theorem, Riemann integral, Fundamental theorem of calculus, Improper integrals, Sequences and series of functions, Taylor series and Fourier series. For additional informations concerning the course, see MAT 2525 - Syllabus. 

The lecture notes of the course can be found here.

Additional: Homeworks HW1 HW2 (with solutions HW1 HW2), Midterms MT1 MT2 (with solutions MT1 MT2), Final Exam FE (with solutions FE), Exercices EX1 EX2 EX3 EX4 EX5 EX6 EX7.

Winter 2020, Phd Supervision course, National University of Singapore, MA 6292 - Character of quasi-simple representations 

The goal of this course was to study 5 papers of Harish-Chandra. We first introduced the notion of quasi-simple representations and their properties (Representations of semisimple Lie group on a Banach space I), proved that such representation has a distributions character (Representations of semisimple Lie group III) and that is given by a locally integrale function on G, analytic on the set of regular points (Invariant Eigendistributions on a Semisimple Lie Group). Moreover, we gave an explicit formula of the character for discrete series representation (Discrete series for semisimple Lie groups I and Discrete series for semisimple Lie groups II). At the end of the course, we studied some results on orbital integrals and Kirillov conjecture, and worked on some open problems on characters such that the transfer of characters in the theta correspondence.

The lectures notes of the course can be found here. 

• May 2020: Jury for the Singapore Science & Engineering Fair (SSEF) 

• 2014 - 2016: Proposition of research projects for high school students for Math.En.Jeans (check this website for more details)