# Mathematics for Modern Living - complete 30 lecture course

## 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
- MTH-00

## 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 Living

This 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 only

02 Reason and Mathematics

After 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 only

03 The Language of Sets

When 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 only

04 Primes and Composites fractions)

When you have successfully completed this module, you will be able to:1) Define:--a) a prime number--b) a composite number--c) 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 only

05 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 only

06 Naturals--Reals

1) Introduction2) Classifications--a) Natural Numbers --Early counting techniques--b) Whole Numbers --Uniqueness of zero--c) Integers --Egyptian use of red numbers --Accounting uses--d) Rationals--Repeating decimals --Fractions--e) Reals --Greeks and the diagonal of a square problem --Irrational num... read more

DVD style course with completion certificate only

07 Approximation, Rounding, and Estimation

The 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 only

08 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 only

09 Basic Equation Solving I

This module will ask you to complete some activities which cover the following topics:1) The basic components of an equation--a) Variables--b) Operational symbols--c) 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 only

10 Basic Equation Solving II

When 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 require-a) Combini... read more

DVD style course with completion certificate only

11 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 only

12 The Metric System

When 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 only

13 Measurement--Linear and Angular

When 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 only

14 Measurement--Area

Upon completion of this module, you will be able to:1) Define:-a) Perimeter-b) Region-c) Area-d) Polygon-e) Rectangular Polygon-f) Apothem-g) Pi2) State the formula and identify each of the symbols in the formula for the area of:-a) Triangle-b) Rectangle-c) Parallelogram-d) Regular Polygon-e) Circle... read more

DVD style course with completion certificate only

15 Measurement--Volume

Upon 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 only

16 Earth Geometry

When 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 only

17 Numeration Systems

When 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 only

18 Number Sequences

When 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 only

19 Calculators--Part I

When 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 only

20 Calculators--Part II

When 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 only

21 Coordinate Graphing I

When 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 first-degree l... read more

DVD style course with completion certificate only

22 Coordinate Graphing II

When 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 slope-intercept method. 2) Given a system of two first-degree linear equations, find the common solution by graphical methods. 3) Given a first-degree... read more

DVD style course with completion certificate only

24 Computers--Part I

After 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 only

25 Computers--Part II

After 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 only

26 Probability--I (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 only

27 Probability--II

When 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 only

28 Statistics and Graphs: Organization of Facts

When 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 only

29 Statistics: Analysis and Applications

When 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 only

30 Summary Module

When you have successfully completed this module, you should be able to: 1) Apply the knowledge you have acquired from the preceding modules to real-life 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