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Présentation
Mathematics L1 IEG
Introductory Course to Mathematical Analysis for Business and Economics.
- Integration and differential Equations applied to Consumers’ and Producer’s Surplus, Growth and Decay models: Exponential and Logistic models
- Linear Models related to Matrices and Systems of Linear Equations. Leontief Input Output Analysis
- Introduction to Markov Chains.
- Introduction to Linear Programming ?
4. Matrices (2) Systems with infinite many solutions (Section 6 Matrices) Inverse of a Matrix – Determinant (n=2 and n=3) Leontief’s Input Output Analysis
4.1 Systems of linear equations with no solution
4.2 System with infinitely many solutions. size of the solution Set (number of parameters)
4.3 Inverse of a Matrix.
4.4 Determinant (n=2 and n=3)
4.5 Leontief Model: Input Output analysis
5. Matrices (3) Introduction to Markov Chains
5.1 Short Review: Arithmetic and Geometric Progressions
5.2 Proof by induction applied to Sequences of Matrices
5.3 A situation of Markov Chain (Section 9.3)
- Markov Chain, State transition rule, Tree diagram, Transition Matrix and its powers, State Vector,
- Steady State Vector
6 linear programming (Section 7.1 to 7.4)
6.1 System of Linear inequalities in two variables
6.2.a Linear Programming of a linear function in two variables : graphical approach.
6.2.b Multiple optimum solutions
6.3 The simplex method
Modalités
Ressources
Recommended book: <i>Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences 13th Edition. Pearson New international Edition - 2014</i>|| <ul> <li><i>Internet resources:</i> <ul> <li><i>Khan Academy </i></li> <li><i>Miscellaneous, depending on the chapters.</i></li> </ul> </li> </ul>