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Mathematics reviews

At the start of each semester, the Mathematics Help Centre (MHC) organizes sessions to review basic mathematics concepts found in quantitative courses offered at HEC Montréal.

 

Below, you will find the schedule of review sessions and a brief description of their content. If you do not feel at ease with some of these concepts, we strongly recommend that you attend the corresponding review session. Other reviews are available: see the registration site for more details. 

To ensure that there is sufficient space, we invite you to register for each of the review sessions in which you would like to participate. 

 

Registration site

 

IMPORTANT: The registration site specifies the schedule, rooms and the documents used in the review sessions, if applicable.

All the review sessions are given in french.

 

Bachelor of Business Administration (B.B.A) Courses 

+  Modélisation et optimisation (1-611-09)

  • Linear, quadratic, exponential, logarithmic functions
  • Derivatives concepts
  • Solving equations
  • Graphical representation of a 2D function with Excel
  • Matrix (definition, identifying sign of a matrix)

+  Mathématiques financières (1-612-96)

  • Geometric sequences
  • Properties of exponents and logarithms
  • Interest rate calculation and conversion of interest rate
  • geometric series
  • Using Excel in financial mathematics

+  Statistiques (1-620-07)

  • Review of the Probability course (1-613-07)
  • Random variable, distribution, variance, standard deviation, expectation value, average, correlation coefficient, median
  • Mathematical symbols and statistics often used
  • Specific Excel functions

+  Analyse microéconomique (1-803-07)

  • The line
  • Derivatives concepts
  • Application to Microeconomics

+  Analyse macroéconomique (1-804-07)

  • Exchange rates, growth rate, inflation rate
  • Line and slope
  • Quadratic function
  • Solving equations

+  Finance (2-200-96)

  • Properties of exponents and logarithms
  • Isolate a variable in an equation
  • Compound interest, annuities, cash flows, equivalent rat, bond value
  • Using the Excel Solver

+  Éléments de recherche opérationnelle (2-651-10)

  • Using the Excel Solver
  • Solving a linear programming model and a network problem

+  Gestion des risques

  • Normality, non-normality, skewness coefficient
  • Log-Normal function v. Normal function
  • Brownian motion, modeling in finance
  • Monte Carlo simulation

+  Modèles probabilistes et stochastiques de la gestion (3-602-09)

First reminder: Integrals

  • Simple integrals
  • Integration by change of variables, partial fractions, by parts
  • Gamma function
  • Double integrals
  • Exercises

Secondreminder: Multiple integrals

  • Reminder on simple integrals
  • Double integrals (partition of R2, elementary regions, the relationship between single and double
  • Integrals in the calculation using a surface)
  • Triple integrals

Third reminder: Matrices

  • Particular matrices
  • Elementary operations (scalar multiplication, addition, multiplication, transpose, trace of a matrix, determinant)
  • Echelon form and reduced-rank of a matrix
  • Inverse matrix
  • Solving a system of linear equations (eg Markov chain)
  • Exercises

 

Certificates courses

+  Analyse de marchés (30-115-94)

  • Solving equations
  • Formulation and calculation of ratio
  • Index calculation
  • Growth rate and inflation rate

+  Méthodes quantitatives en finance et en gestion (30-610-94 + 30-620-92)

First reminder

  • Geometric sequences (application to financial mathematics)
  • Properties of exponents and logarithms
  • Interest calculation
  • Conversionof interest rate
  • Solving equations
  • Using the financial calculator

Second reminder

30-610-94

  • Calculation of descriptive measures (mean, standard deviation, median)
  • Using Excel to do these calculations

30-620-92

  • The line
  • System of equations with two unknowns
  • Inequations
  • Optimization problems

+  Méthodes quantitatives et micro-informatique (30-615-97)

  • Algebraic operations
  • Descriptive Statistics
  • Summation sign
  • Operations on fractions
  • The line

+  Outils pour la gestion de projet (30-635-10)

  • Operations on fractions
  • Exponential notation
  • Properties of exponents and logarithms
  • Solving equations (2 inconnes system)
  • Summation sign
  • The line

+  Mathématiques en gestion 30-650-03

  • Functions (linear, quadratic , properties of exponents)
  • System of equations (one or two variables, linear and nonlinear equations)
  • Excel (Figure 2D, with discontinuities, by parts)

 

D.E.S.S.  courses 

+  Finance (4-230-94)

  • Solving equations
  • Properties of exponents and logarithms
  • Quadratic, exponential and logarithmic functions

+  Économie managériale (4-830-94)

  • The derivatives
  • Optimization problems
  • Equation of the line, graphical representation
  • Price elasticity
  • Marginal cost

+  Modèles d'aide à la décision (4-600-04)

  • Properties of exponents and logarithms
  • Introduction to Excel specific to this course: Risk Solver, Analysis ToolPak, Solver

 

Master courses

+  Propédeutique en finance (70-200-00)

  • Exponents properties
  • Solving equations
  • Exponential and logarithmic functions
  • Using the compound interest equation
  • Reminder forms of annuity and life
  • Equivalent rates
  • Examples summary

+  Matlab Initiation (M.Sc Applied Financial Economics, Finance and Financial Engineering)

Fundamentals

  • Windows description
  • M-file
  • Basic instructions
  • Variables and  operators
  • Matrix manipulations
  • Input-output data
  • Lopp and conditional statements
  • Debugger

Advanced functions

  • Statistical tools
  • Random numver generators
  • External functions call
  • Optimization functions
  • The profiler

 

Review for all programs

  

+  Excel Initiation (Basics + Advanced)

Fundamentals

  • Input
  • Copy and paste and drag
  • How to undo what has been done
  • How to pick a function
  • Use the $ sign in the formulas
  • How to use Help in Excel
  • Insert a row, column or cell

Advanced Features

  • Draw 2D and 3D graphics with Excel
  • The solver
  • Sum.if functions (), SUMPRODUCT ()
  • Vertical search
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Schedule

  • Intern's schedule
 
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