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LSU College Readiness Program COURSE PROFILE11-16-15COURSE NAME:High School Discrete Math paired with LSU Math 1029 Contemporary Math (1 semester)PRIMARY ONLINE CONTENT SOURCEThinking Mathematically, 5e, MyMathLabRobert BlitzerCOURSE/UNIT CREDIT:? Carnegie UnitGRADE(S):11 or 12PREREQUISITE(S):Successful Completion of Algebra IICHAPTERS 8 – Consumer Math and Financial Management 11 – Counting Methods and Probability Theory 12 – Statistics15 – Graph TheorySECTION NAMES (NUMBER OF EXERCISES) AND LEARNING OBJECTIVESCHAPTER 8: Consumer Math and Financial Management8.1a Percent (14)Express a fraction as a percentExpress a decimal as a percentExpress a percent as a decimal8.1b Sales Tax (11)Solve percent problemsSolve applied problems involving sales tax and discountsDetermine percent increase or decrease8.2 Simple Interest (19)Calculate simple interestUse the future value formulaUse the simple interest formula on discounted loans8.3 Compound Interest (19)Use compound interest formulaCalculate present valueUnderstand and compute effective annual yield8.4 Annuities, Stocks, and Bonds (16)Determine the value of an annuityDetermine regular annuity payments needed to achieve a financial goalUnderstand stocks and bonds as investments and be able to read stock tablesCHAPTER 11: Counting Methods and Probability Theory11.1 The Fundamental Counting Principle (12)Use the Fundamental Counting Principle to find the number of possible outcomes 11.2 Permutations (27)Use the Fundamental Counting Principle to count permutationsEvaluate factorial expressionsUse the permutations formulaFind the number of permutations of duplicate items11.3 Combinations (21)Distinguish between permutation and combination problemsUse the combinations or permutations formula to evaluate expressionsSolve problems involving combinations11.4 Fundamentals of Probability (31)Compute theoretical probabilityCompute empirical probability11.5 Probability (11)Compute probabilities with permutationsCompute probabilities with combinations11.6a Events Involving Not and Or (22)Find the probability that an event will not occurFind the probability of one event or a second event occurring11.6b Odds (13)Understand and use odds11.7a Events Involving And (23)Find the probability of one event and a second event occurring11.7b Conditional Probability (9)Compute conditional probabilitiesCHAPTER 12: Statistics12.1 Sampling, Frequency Distributions, and Graphs (17)Select an appropriate sampling techniqueOrganize and present dataApply estimation techniques to information given by graphsDescribe what is misleading in a visual display of data12.2 Measures of Central Tendency (25)Determine the mean for a data setDetermine the median for a data setDetermine the mode for a data setDetermine the midrange for a data set12.3 Measures of Dispersion (17)Determine the range for a data setDetermine the standard deviation for a data set12.4 The Normal Distribution (34)Find scores at a specified standard deviation from the meanUse the 68–95–99.7 RuleConvert a data item to a z-scoreSolve applied problems involving normal distributions12.5 Problem Solving with the Normal Distribution (16)Understand percentiles and quartilesSolve applied problems involving normal distributionsCHAPTER 15: Graph Theory15.1 Graphs, Paths, and Circuits (25)Understand relationships in a graphModel relationships using graphsUnderstand and use the vocabulary of graph theory15.2 Euler Paths and Euler Circuits (27)Understand the definitions of Euler path and Euler circuitUse Euler’s TheoremUse Fleury’s Algorithm to find possible Euler paths and Euler circuitsSolve problems using Euler’s Theorem15.3 Hamilton Paths and Hamilton Circuits (22)Understand the definitions of Hamilton paths and Hamilton circuitsFind the number of Hamilton circuits in a complete graphUnderstand and use weighted graphsUse the Brute Force Method to solve traveling salesperson problemsUse the Nearest Neighbor Method to approximate solutions to traveling salesperson problems15.4 Trees (17)Understand the definition and properties of a treeFind a spanning tree for a connected graphFind the minimum spanning tree for a weighted graph ................
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