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Business Mathematics II syllabus

MTH 2026 units · 51 topicsAcademic year 2083/84
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Business Mathematics II

6 units

1. Integration and applications (8 LHs)

  1. Concept of integration
    1. Concept of integration
  2. Techniques of integration (Standard form, substitution method and integration by parts)
    1. Techniques of integration (Standard form, substitution method and integration by parts)
  3. Integration of algebraic
    1. Integration of algebraic
  4. Logarithmic and exponential functions
    1. logarithmic and exponential functions
  5. Methods of evaluating definite integrals
    1. Methods of evaluating definite integrals
  6. Application of integration in business and economics
    1. Application of integration in business and economics ( including consumers’ surplus and producers’ surplus)
    2. Area under a curve.

2. Linear inequalities and linear programming (6 LHs)

  1. Linear Inequalities in two variables
    1. Linear Inequalities in two variables
  2. Introduction to linear programming problem
    1. Introduction to linear programming problem
  3. Formulation of linear programming problem
    1. Formulation of linear programming problem
  4. Methods of solving linear programing problems
    1. Methods of solving linear programing problems: Graphical method
  5. Simplex method (two variables)
    1. Simplex method (two variables)
  6. Duality and standard minimization linear programing problems. Online
    1. Duality and standard minimization linear programing problems. Online: Simplex method

3. Linear algebra and applications (7 LHs)

  1. Introduction to matrices and types of matrices
    1. Introduction to matrices and types of matrices
  2. Operation on matrices
    1. Operation on matrices: Addition and subtraction of matrices
  3. Scalar multiplication of a matrix
    1. Scalar multiplication of a matrix
  4. Multiplication of matrices
    1. Multiplication of matrices
    2. Transpose of matrix
  5. Determinant of a square matrix
    1. Determinant of a square matrix
  6. Minors and cofactors of matrix
    1. Minors and cofactors of matrix
  7. Singular and non-singular of matrix
    1. Singular and non-singular of matrix
  8. Adjoint and inverse matrices
    1. Adjoint and inverse matrices
  9. Elementary row operations
    1. Elementary row operations
  10. Methods of solving linear equations
    1. Methods of solving linear equations: Cramer’s rule
  11. Inverse matrix method
    1. Inverse matrix method (Application of linear equation for solving business and economics related problems)
  12. Gauss elimination method and Gauss- Jordan method
    1. Gauss elimination method and Gauss- Jordan method
  13. Input/output analysis
    1. Input/output analysis
  14. Technology coefficient matrix
    1. Technology coefficient matrix
  15. Hawkins-Simon conditions for the viability of the system
    1. Hawkins-Simon conditions for the viability of the system.
  16. Lab. Work
    1. Lab. Work: Excel for linear algebra Online: Gauss elimination method for solving system of linear equations
  17. Gauss-Jordan method for solving system of linear equations and finding inverse matrices
    1. Gauss-Jordan method for solving system of linear equations and finding inverse matrices.

4. Functions of several variables (9 LHs)

  1. Functions of several variables
    1. Functions of several variables
  2. Applications of functions of two variables in business and economics
    1. Applications of functions of two variables in business and economics
  3. Partial differentiation
    1. Partial differentiation
  4. Applications of partial differentiation
    1. Applications of partial differentiation
  5. Elasticity of demand
    1. Elasticity of demand
    2. Utility
    3. Production
  6. Graphical Representations
    1. Graphical Representations
  7. Unconstrained optimization
    1. Unconstrained optimization
  8. Constrained optimization and Lagrange multipliers
    1. constrained optimization and Lagrange multipliers.

5. First-order differential equations and applications (9 LHs)

  1. Introduction to differential equation
    1. Introduction to differential equation
  2. Order and degree of differential equation
    1. Order and degree of differential equation
  3. Solution of differential equations
    1. Solution of differential equations
  4. First-order linear differential equations with constant coefficient and constant term
    1. First-order linear differential equations with constant coefficient and constant term
  5. Differential equation for limited and unlimited growth
    1. Differential equation for limited and unlimited growth
  6. Dynamics of market price
    1. Dynamics of market price
  7. First order differential equation with variable- coefficient and variable term
    1. First order differential equation with variable- coefficient and variable term
  8. Exact differential equations
    1. Exact differential equations
  9. Nonlinear differential equations of the first order and first degree
    1. Nonlinear differential equations of the first order and first degree.

6. Dynamic economic analysis and Difference equations (9 LHs)

  1. Introduction to difference equations
    1. Introduction to difference equations
  2. Solution of first order difference equations (homogeneous and non-homogeneous)
    1. Solution of first order difference equations (homogeneous and non-homogeneous)
  3. Economic applications of first order difference equation
    1. Economic applications of first order difference equation: Cobweb model
  4. Lagged Keynesian macroeconomic model
    1. Lagged Keynesian macroeconomic model
  5. Duopoly price adjustment
    1. Duopoly price adjustment.