THE ASCENT LIBRARY
General MathematicsOne idea at a time.
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Years 11–12 · SACE01 / YOUR YEAR LEVEL
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02 / EXPLORE THE TOPICS
55 lessons availableYear 12 starts here.
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55 subtopics
01
Linear models and optimisation
9 subtopics1.1Forming linear equations from situations1.2Solving simultaneous equations graphically/algebraically/with technology1.3Interpreting intersections and break-even points1.4Linear inequalities1.5Feasible regions1.6Objective functions1.7Linear programming1.8Integer constraints and interpreting an optimal solution1.9Assumptions and limitations
Topic review6 practice tests02
Matrix models
8 subtopics2.1Matrix arithmetic revision2.2Network/adjacency matrices2.3Powers and numbers of connections2.4Reachability and dominance/ranking applications2.5Transition matrices and state vectors2.6Repeated transitions2.7Long-term behaviour and steady states2.8Closed-system assumptions and model limitations
Topic review6 practice tests03
Statistics and regression
13 subtopics3.1Bivariate data and scatter plots3.2Direction/form/strength of association3.3Explanatory/response variables3.4Correlation and causation3.5Pearson correlation and coefficient of determination3.6Least-squares regression3.7Interpreting slope/intercept3.8Outliers and justified treatment3.9Residuals3.10Exponential regression3.11Interpolation/extrapolation3.12Normal distributions3.13Normal probabilities and inverse-normal values
Topic review6 practice tests04
Financial mathematics
12 subtopics4.1Compound-interest revision4.2Effective interest rates4.3Savings annuities4.4Finding deposits, rates, terms and accumulated amounts4.5Superannuation models4.6Annuities providing an income4.7Inflation/tax/fees4.8Interest-only loans and sinking funds4.9Reducing-balance loans4.10Repayments, outstanding balances and total interest4.11Extra repayments, frequency changes and offsets4.12Comparison rates and choosing between loan models
Topic review6 practice tests05
Networks, scheduling and assignment
13 subtopics5.1Precedence tables5.2Directed project networks5.3Dummy activities5.4Forward and backward scans5.5Earliest/latest times5.6Critical paths5.7Minimum completion time5.8Slack and changes to activities5.9Assignment cost tables5.10Hungarian algorithm5.11Minimum-cost and maximum-profit assignments5.12Rectangular tables and dummy rows/columns5.13Checking assumptions and interpreting recommendations
Topic review6 practice testsSchools may teach these topics in a different order.
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