Mathematical Techniques: Matrix Algebra, Calculus, Differentiation, Integration, Descriptive Statistics Revision

Description

1. Mathematical Techniques
1.1 Functions
1.1.1 Definition
1.1.2 Functions, equations, inequalities and graphs; linear, quadratic, cubic, Exponential and logarithmic functions
1.1.3 Application of mathematical functions in solving business problems

1.2 Matrix Algebra
1.2.1 Definition
1.2.2 Types and operations (addition, subtraction, multiplication, transposition and inversion of up to order 3×3)
1.2.3 Application of matrices; statistical modelling, Markov analysis, input-output analysis and general applications

1.3 Calculus
1.4 Differentiation
1.4.1 Definition
1.4.2 Rules of differentiation (general rule, chain, product, quotient)
1.4.3 Differentiation of exponential and logarithmic functions
1.4.4 Turning points (maxima, minima and inflexion)
1.4.5 Application of differentiation to business problems

1.5 Integration
1.5.1 Definition
1.5.2 Rules of integration (general rule)
1.5.3 Integration of exponential and logarithmic functions
1.5.4 Applications of integration to business problems

1.6 Descriptive Statistics
1.6.1 Measures of central tendency: mean: arithmetic mean, weighted arithmetic mean; geometric mean, harmonic mean, median and mode
1.6.2 Measures of dispersion: range, quartile, deciles, percentiles, mean deviation, standard deviation and coefficient of variation
1.6.2.1 Measures of skewness: Pearson’s coefficient of skewness, product coefficient of skewness
1.6.2.2 Measures of kurtosis: Pearson’s coefficient of kurtosis, product coefficient of kurtosis