Mathematics for Modern Living  complete 30 lecture course

This is a compilation item which contains other items. Licensing this one item causes all component items to be licensed.
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About
30 modules covering basic mathematics principles for refresher or remedial purposes. Shows some historical implications of mathematics and demonstrates its use in art, in computers, in problem solving, in reasoning, and in everyday life experiences. Categories
 College Level Academic Courses
 Mathematics
 Mathematics for Modern Living
 Video Running Time (minutes)
 900:00
 Producer
 Learning Seed
 Course ID
 MTH00

Component Items
This is a compilation item which contains other items. Licensing this one item causes all of the following items to be licensed.
01 Mathematics for Modern LivingThis program will introduce you to the broad areas of mathematics covered by this course. Excerpts from some of the remaining 29 modules will be presented and discussed. DVD style course with completion certificate only02 Reason and MathematicsAfter successfully completing this module, students should be able to:1) Define inductive reasoning.2) Define deductive reasoning.3) Determine if a syllogism is valid or invalid. ,p>4) Illustrate a syllogism with a Venn diagram.5) Use deductive reasoning to reach conclusions in some problems. DVD style course with completion certificate only03 The Language of SetsWhen you have successfully completed this module, you will be able to:1) Show evidence of understanding set notation and the subset relation.2) Use the set operations of union, intersection, and set complementation.3) Use Venn diagrams to show set operations and to illustrate some of the laws of set... read more DVD style course with completion certificate only04 Primes and Composites fractions)When you have successfully completed this module, you will be able to:1) Define:a) a prime numberb) a composite numberc) the prime factorization of a natural number2) Given a natural number, determine whether the number is prime or composite.3) Given a composite number, write the prime factori... read more DVD style course with completion certificate only05 Ratio and Proportion (fractions)When you have successfully completed this module, you will be able to:1) Define a ratio.2) Reduce a ratio to lowest terms.3) Write the ratio of two given quantities.4) List five ways in which a ratio may be used.5) Define a proportion.6) Write a proportion, given four quantities.7) Evaluate the miss... read more DVD style course with completion certificate only06 NaturalsReals1) Introduction2) Classificationsa) Natural Numbers Early counting techniquesb) Whole Numbers Uniqueness of zeroc) Integers Egyptian use of red numbers Accounting usesd) RationalsRepeating decimals Fractionse) Reals Greeks and the diagonal of a square problem Irrational num... read more DVD style course with completion certificate only07 Approximation, Rounding, and EstimationThe ability to round off or approximate numbers to a certain degree of precision is a skill needed by most of us. This module is appropriate for any student who has not already acquired this skill. You will be asked to complete a number of activities which will cover the subjects listed below.1) Way... read more DVD style course with completion certificate only08 Interest and Percentage (Decimals)With the information gained from this module, you should have a useful tool to confront the complexities of today's financial world. You will be asked to complete activities which will cover the topics listed below.1) Simple interest2) Declining balance interest3) Compound interest4) Certificates of... read more DVD style course with completion certificate only09 Basic Equation Solving IThis module will ask you to complete some activities which cover the following topics:1) The basic components of an equationa) Variablesb) Operational symbolsc) Numbers2) Translation of a problem from verbal to symbolic form.3) Three ways of expressing multiplication in an equation.4) The 'Gol... read more DVD style course with completion certificate only10 Basic Equation Solving IIWhen you have successfully completed this module, you will be able to:1) Define like terms and combine like terms.2) Find the least common denominator of several given denominators.3) Clear fractions from an equation.4) Remove parentheses from an equations.5) Solve equations which requirea) Combini... read more DVD style course with completion certificate only11 Big and Little Numbers (Scientific Notation)After you have successfully completed this module, you will be able to:1) Define scientific notation.2) State the multiplication and division laws of exponents and use these laws to simplify problems containing exponents.3) Define 10 to the nth power, where n is a positive integer.4) Define 10 to th... read more DVD style course with completion certificate only12 The Metric SystemWhen you have successfully completed this module, you will be able to:1) Name the basic units of the Metric System and spell them correctly.2) List the major prefixes used in the Metric System in order from the smallest to largest.3) Convert a metric measurement from one unit to another unit within ... read more DVD style course with completion certificate only13 MeasurementLinear and AngularWhen you have successfully completed this module, you will be able to:1) Designate an appropriate measurement unit for a given problem.2) List four different measurement instruments and give their applications.3) Using a compass and straight edge:a) Construct a perpendicular at a point on a line.b... read more DVD style course with completion certificate only14 MeasurementAreaUpon completion of this module, you will be able to:1) Define:a) Perimeterb) Regionc) Aread) Polygone) Rectangular Polygonf) Apothemg) Pi2) State the formula and identify each of the symbols in the formula for the area of:a) Triangleb) Rectanglec) Parallelogramd) Regular Polygone) Circle... read more DVD style course with completion certificate only15 MeasurementVolumeUpon completion of this module, you will be able to:1) Define: a) surface area b) volume c) polyhedron d) regular polyhedron 2) State the formula and identify each of the symbols in the formula for the volume of: a) a pyramid b) a cone c) a prism d) a cylinder e) a sphere 3) Use the above f... read more DVD style course with completion certificate only16 Earth GeometryWhen you complete this module, you will be able to: 1) State the differences between plane geometry and spherical geometry with respect to: a) A straight line passing through two given points. b) The distance between two given points. c) Parallel lines. d) Perpendicular lines. e) Sum of the ang... read more DVD style course with completion certificate only17 Numeration SystemsWhen you have successfully completed this module, you be able to: 1) Name two important characteristics of our numeration system, the decimal system. 2)a) List the numerals of the decimal system. b) State the origin of the decimal system. 3)a) Name at least three numeration systems which are no lon... read more DVD style course with completion certificate only18 Number SequencesWhen you have successfully completed this module, you will be able to: 1) Define the terms: number sequence, arithmetic sequence, geometric sequence and Fibonacci sequence. 2) Identify whether a given sequence is arithmetic, geometric or a Fibonacci sequence. 3) Find the missing terms of a given ari... read more DVD style course with completion certificate only19 CalculatorsPart IWhen you have successfully completed this module, you will be able to: 1) List five areas of application of calculators. 2) Identify the two areas of application of calculators. 3) Perform on a calculator the five operation of addition, subtraction, multiplication, division and exponentiation. 4) St... read more DVD style course with completion certificate only20 CalculatorsPart IIWhen you have successfully completed this module, you will be able to: 1) Expand your use of the memory function. 2) Calculate the square root of a number by the methods of 'trial and error' and 'averaging'. 3) Use the Pythagorean Theorem to compute the length of the hypotenuse of a right triangle. ... read more DVD style course with completion certificate only21 Coordinate Graphing IWhen you have successfully completed this module, you will be able to: 1) Given a point in a coordinate plane, identify the coordinates of that point. 2) Given an ordered pair of coordinates, locate the position of the point corresponding to the ordered pair of coordinates. 3) Given a firstdegree l... read more DVD style course with completion certificate only22 Coordinate Graphing IIWhen you have successfully completed this module, you will be able to: 1) Given a first degree linear equation, draw the graph of the equation by the slopeintercept method. 2) Given a system of two firstdegree linear equations, find the common solution by graphical methods. 3) Given a firstdegree... read more DVD style course with completion certificate only24 ComputersPart IAfter viewing Computers, you will be able to:List at least five consumer transactions that are affected by or recorded on a computer.Define the three basic components of a computer.Identify the three functions of the control processing unit.List at least two methods of input.List at least two method... read more DVD style course with completion certificate only25 ComputersPart IIAfter viewing Computers Part II, you will be able to:Name at least three contributors to the historical development of computers.Define:Machine languageHigh level languageDescribe the following properties of computers: BranchingLoopingConstruct a simple flow chart of a well defined process.List at l... read more DVD style course with completion certificate only26 ProbabilityI (Counting Techniques)When you have completed this module, you will be able to: 1) Construct the sample space for a simple experiment. 2) Calculate the probability of an event by listing all the possible outcomes and all the favorable outcomes. 3) Evaluate a given factorial. 4) Determine the number of possible outcomes f... read more DVD style course with completion certificate only27 ProbabilityIIWhen you have completed this module, you will be able to: 1) Identify an impossible event and a certain event. 2) Determine the number of permutations of n things some of which are alike. 3) Determine the number of combinations of n things taken r at a time. 4) Determine the odds for and against an ... read more DVD style course with completion certificate only28 Statistics and Graphs: Organization of FactsWhen you have completed this module, you will be able to: 1) Read and interpret information contained in the following types of graphs: a) Line graph b) Bar graph c) Circle graph d) Pictograph 2) Construct the following types of graphs: a) Line graph b) Bar graph c) Circle graph d) Pictograp... read more DVD style course with completion certificate only29 Statistics: Analysis and ApplicationsWhen you have completed this module, you will be able to determine for a given collection of measures: 1) The Mean 2) The Median 3) The Mode 4) The Range 5) The Standard Deviation. DVD style course with completion certificate only30 Summary ModuleWhen you have successfully completed this module, you should be able to: 1) Apply the knowledge you have acquired from the preceding modules to reallife situations. 2) Apply the laws of reasoning to solve new problems. 3) Demonstrate an understanding of the principles of mathematics required to sol... read more DVD style course with completion certificate only