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Solve two-variable simultaneous equations and quadratic equations.
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2
Prepare graphs of linear equation.
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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.
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4
Formulate a system of linear programming for a business problem.
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5
Identify constraints, feasible region, cost minimization or profit maximization functions, no feasible solution using linear programming.
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6
Prepare a graphical solution of a linear programming problem.
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B. Financial Mathematics
1
Apply simple and compound interest rate on single or series of amounts to find out interest amount and future values.
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2
Apply discount rate on single or series of amounts including perpetuity to find out present values.
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3
Calculate the net present value (NPV) of future cash flows.
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4
Calculate internal rate of return on a project.
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Syllabus Ref.
Learning Outcomes
Proficiency Level
Testing Level
C. Data Analysis
1
Classify different types of data.
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2
Explain data collection through various methods.
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3
Summarize and present data.
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4
Calculate various measures of central tendency.
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5
Identify the characteristics and measures of dispersion.
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6
Compute the degree of variation or variability in a distribution.
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7
Discuss the index number and its types.
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8
Calculate index number and discuss the practical application of index no.
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9
Construct deflated or inflated series using index numbers.
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10
Explain scatter diagrams their construction, uses and limitations.
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11
Explain the concept of regression lines and their uses and limitations.
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12
Calculate a linear regression line (line of best fit) using least squares.
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13
Calculate and discuss correlation coefficients, rank correlation coefficients and determination.
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D. Probability and Probability Distribution
1
Calculate the total number of possible outcomes and selections from a set of data using counting techniques.
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2
Discuss and compute probability using different techniques.
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3
Discuss and estimate the probability distribution using different techniques.
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E. Sampling and Decision making
1
Explain the term population, sample, sample distribution and sampling distribution.
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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.
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5
Apply hypothesis test of proportions and difference between proportions.
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6
Apply hypothesis test of population means based on small and large samples.
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Syllabus Ref.
Learning Outcomes
Proficiency Level
Testing Level
7
Apply hypothesis tests of the difference between two population means.
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8
Apply the Chi-square distribution to perform tests of goodness of fit and independence.
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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
