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Solve two-variable simultaneous equations and quadratic equations.
P1
T1
2
Prepare graphs of linear equation.
P1
T1
3
Apply arithmetic and geometric progression in business problems to calculate monthly instalments, first instalment, total amount paid and total time required for settlement of a loan etc.
P1
T1
4
Formulate a system of linear programming for a business problem.
P1
T1
5
Identify constraints, feasible region, cost minimization or profit maximization functions, no feasible solution using linear programming.
P1
T1
6
Prepare a graphical solution of a linear programming problem.
P1
T1
B. Financial Mathematics
1
Apply simple and compound interest rate on single or series of amounts to find out interest amount and future values.
P1
T1
2
Apply discount rate on single or series of amounts including perpetuity to find out present values.
P1
T1
3
Calculate the net present value (NPV) of future cash flows.
P1
T1
4
Calculate internal rate of return on a project.
P1
T1
Syllabus Ref.
Learning Outcomes
Proficiency Level
Testing Level
C. Data Analysis
1
Classify different types of data.
P1
T1
2
Explain data collection through various methods.
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3
Summarize and present data.
P1
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4
Calculate various measures of central tendency.
P1
T1
5
Identify the characteristics and measures of dispersion.
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6
Compute the degree of variation or variability in a distribution.
P1
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7
Discuss the index number and its types.
P1
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8
Calculate index number and discuss the practical application of index no.
P1
T1
9
Construct deflated or inflated series using index numbers.
P1
T1
10
Explain scatter diagrams their construction, uses and limitations.
P1
T1
11
Explain the concept of regression lines and their uses and limitations.
P1
T1
12
Calculate a linear regression line (line of best fit) using least squares.
P1
T1
13
Calculate and discuss correlation coefficients, rank correlation coefficients and determination.
P1
T1
D. Probability and Probability Distribution
1
Calculate the total number of possible outcomes and selections from a set of data using counting techniques.
P1
T1
2
Discuss and compute probability using different techniques.
P1
T1
3
Discuss and estimate the probability distribution using different techniques.
P1
T1
E. Sampling and Decision making
1
Explain the term population, sample, sample distribution and sampling distribution.
P1
T1
2
Explain methods for selecting a sample.
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3
Explain a sampling distribution of the sample means.
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4
Calculate the mean and standard error of a sampling distribution of sample and proportion means.
P1
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5
Apply hypothesis test of proportions and difference between proportions.
P1
T1
6
Apply hypothesis test of population means based on small and large samples.
P1
T1
Syllabus Ref.
Learning Outcomes
Proficiency Level
Testing Level
7
Apply hypothesis tests of the difference between two population means.
P1
T1
8
Apply the Chi-square distribution to perform tests of goodness of fit and independence.
P1
T1
PRC-2 QUANTITATIVE METHODS Key Examinable Professional Skills
1
Evaluate given information through integration and analysis.
2
Apply critical thinking skills to solve problems.
3
Apply intellectual agility.
PRC-2 QUANTITATIVE METHODS Key Examinable Professional Values, Ethics and Attitude
1
Apply an inquiring mind when collecting and assessing data and information
2
Use critical thinking in determining appropriate course of action.
Specific Examinable Knowledge Reference
1
Array, Frequency distribution, Tally, Class boundaries
2
Bar and pie chart
3
Histograms, frequency polygons, Ogives, graphs, stem and leaf displays, Box and whisker plots
4
Mode, median, arithmetic, geometric and harmonic means
5
Standard deviation
6
Variance
7
Laspeyre, Paasche and Fisher index
8
Scatter diagrams
9
mn counting rule and factorials
10
Permutations and combination
11
Addition and multiplication law for probability
12
Conditional and complementary probabilities
13
Binomial, Hyper-Geometric, Poisson, Normal distribution
14
Normal approximation
15
Random, systematic, stratified, multi-stage, cluster and quota sampling
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