Course Unit Code  MEX 1506 
Course Unit Title  Mathematics and Statistics 
Number of Credits  5 
Year  I 
Mode of Instructions  Sinhala and English 
Course Unit Code  MEX 1506 
Course Unit Title  Mathematics and Statistics 
Number of Credits  5 
Year  I 
Mode of Instructions  Sinhala and English 
This course unit consist two main parts, mathematics and Statistics. Therefore first part of this course aims to provide student with a good understanding of much needed knowledge of mathematics which helps to the students to get understand and make correct decisions about the practical situations in related to the management. The second part is devoted to provide the statistical knowledge to the students. It is expected to enhance the analytical skills of students providing knowledge of statistical methods for solving various problems in the management field.
To provide knowledge to:
1. understand and use equations, formulae, and mathematical expressions and relationships in a variety of contexts
2. apply the knowledge in mathematics and statistics in solving problems related to the public management
3. identify and use correct statistical technique to analyze data
4. Improve critical thinking, modeling, and problem solving skills in a variety of contexts
Upon successful completion of this course unit, the students should be able to:
1. understand and use equations, formulae, and mathematical expressions and relationships in a variety of contexts
2. apply the knowledge in mathematics and statistics in solving problems related to the public management
3. apply correct statistical technique to analyze data
4. demonstrate critical thinking, modeling, and problem solving skills in a variety of contexts
Content  
Main Topics  Sub Topics  No. of Hours 
1. Algebra

1.1 Algebraic Expressions
1.2 Arithmetic Operations in Algebraic Expressions 1.3 Factorization 1.4 Fractions 1.5 Equations (Linear Equations, Quadratic Equations, Systems of Equations) 1.6 Applications of Equations

08 hrs 
2. Functions

2.1 Arithmetic of functions
2.2 Graphs in rectangular coordinates 2.3 Points of intersection of graphs 2.4 applications of functions

06 hrs 
3. Differentiation  3.1 Basic rules for differentiation
3.2 Successive Differentiation 3.3 Relative Maximum and Relative Minimum Points of a Function 3.4 Applications of Differentiation

12 hrs 
4. Integration  4.1 Indefinite Integration
4.2 Properties of Integration 4.3 Rules of Integration 4.4 The Definite Integration 4.5 Applications of Integrations 
06 hrs 
5. Mathematics of Finance  5.1 Interest
5.2 Investment Appraisal 5.3 Annuities 5.4 Amortization

06 hrs 
6. Introduction to Statistics  6.1 Definition of statistics
6.2 Applications in statistics 6.3 Limitations of statistics

02 hrs 
7. Data and data Collection  7.1 Types of data
7.2 Methods of data collection

03 hrs 
8. Presentation of Data  8.1 Presentation of categorical data
8.2 Presentation of Quantitative data

04 hrs 
9. Summary Measures  9.1 Measures of central tendency
9.2 Measures of dispersion 9.3 Skewness

08 hrs 
10. Probability Theory  10.1 Approaches of probability
10.2 Joint probability 10.3 Marginal probability 10.4 Conditional probability

06 hrs 
11. Random Variables and Probability Distributions  11.1 Discrete probability distributions
11.2 Continuous probability distributions

03 hrs 
12. Theoretical Distributions  12.1 Binomial distribution
12.2 Poisson distribution 12.3 Normal distribution

04 hrs 
13. Regression and Correlation Analysis  13.1 Scatter diagrams
13.2 Coefficient of correlation 13.3 Simple linear regression 13.4 Coefficient of determination

04 hrs 
14. Time Series Analysis  14.1 Component of a time series
14.2 Trend estimation 14.3 Estimation of seasonal component

03 hrs

Mode of Study  Lecturing, Seminar, Self Study 
Evaluation  Final Examination – 100% 
1. Mizrahi & Sullivan, Mathematics and Applied Approach (Seventh Edition)
2. Frank S. Budhick (Fourth Edition), Applied Mathematics for Business, Economics, and the Social Sciences
3. Richard D. Anderson & Cecil L. Smith, Calculus for Business
4. M.D. Mac Pherson, Mathematics Applied to Business Problems
5. Amir D. Aczel, JayavelSounderpandian, Complete Business Statistics, (Fifth Edition)
6. ව්යාපාර ගණිතය I (කලනය : ව්යාපාරික සහ ආර්ථික විද්යා යෙදුම්) – ආචාර්ය එස්. ටී. ඩබ්ලිව්. එස්. යාපා
7. සංඛ්යාන විද්යාවේ මූලධර්ම – මහාචාර්ය කේ. ආර්. ඇම්. ටී. කරුණාරත්න විශාලිත තෙවන සංස්කරණය – 2001
8. සම්භාවිතාවය – මහාචාර්ය කේ. ආර්. ඇම්. ටී. කරුණාරත්න