Download Elementary Quantitative Techniques

COURSE NAME: ELEMENTARY QUANTITATIVE TECHNIQUES
COURSE CODE: GST 06210
1. Applying linear equations in solving business problems
(a) Find the slope and equation of a line
(b) Finding equations of parallel and perpendicular lines
(c) Calculate rate of change – context and data table for linear and non-linear functions with
correct interpretation
(d) Calculate rate of change using Algebraic description: for linear and non-linear functions
(e) Apply techniques to plot rates
(f) Solve contextual word problem
(g) Write slope as a ratio with correct interpretation
(h) Solve for a specified variable in a formula
2. Apply the concept of matrices in manipulating commercial data
(a) Operate matrices (Add, subtract and multiply)
(b) Find the determinant of matrices up to 3 by 3
(c) Find the inverse of and matrices.
(d) Solve linear equations using matrices
(e) Represent data with matrices
(f) Solve systems of linear equations (up to 3 variables) using the inverse method and Cramer’s
rule
3. Apply linear programming techniques to make managerial decision
(a) Formulate simple linear inequalities
(b) Solve linear inequalities
(c) Apply inequalities to simple commercial situations
(d) Find the objective function for a given problem
(e) Formulate constraints from a given word problem
(f) Plot inequalities and determine a feasible region for a given word problem.
(g) Use graphical method to find the optimal solution to a linear programming problem
4. Apply statistical techniques in collecting data
(a) Distinguish between data and information
(b) Distinguish between data collection methods and select a suitable method
(c) State stages in statistical investigation
(a) Present data using various techniques(pie chart, pictogram, bar chart, frequency, table,
histogram, Ogive, Z score and Z chart)
(b) Select an appropriate data presentation technique for specific data basing on type of data at
hand,
(c) Examine the advantages and disadvantages of the various techniques of data presentation
5. Compute measures of central tendency and dispersion with correct interpretation
(a) Calculate measures of central tendency from simple data: mean mode, median, geometric
mean for grouped and un-grouped data.
(b) Interpret measures of central tendency
(c) Calculate measures of dispersion for grouped and Un-grouped data ( mean deviation,
variance and standard deviation, quartile deviation and coefficient of variation)
(d) Interpret measures of dispersions
(e) Compare distributions using summary measures
6. Compute probability of occurrence of an event using mathematical concepts
(a) Describe the role of probability in decision making
(b) Describe the classical, empirical, and subjective approaches to probability
(c) Distinguish experiment, event and outcome
(d) Apply the rules of probability: addition and multiplication rules
(e) Calculate marginal and conditional probabilities
(f) Use a tree diagram to organize and compute probabilities
(g) Solve real world business problems involving expressions of likelihood
7. Apply regression and correlation in analysing the strength of relationship
(a) Explain the meaning of regression analysis
(b) Identify practical examples where regression analysis can be used
(c) Plot scatter diagrams
(d) Construct a simple linear regression model
(e) Prepare estimates of the unknown variable using the regression model
(f) Compute and interpret the Pearson product moment correlation coefficient
(g) Compute and interpret the Pearson product correlation coefficient
(h) Compute and interpret the coefficient of determination