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Prestatistics

 

Syllabus

  Schedule

   

  

​Notes

​Model

Exercises

​1.  Basic Sets Concepts ​ME 1
​2.  Subsets ​ME 2
3.  Venn Diagrams and Set Operations​ ​ME 3
4.  Set Operations and Venn Diagrams with Three Sets​ ​ME 4
5.  Survey Problems​ ​ME 5
​6.  Introduction to Algebra: Variable and Mathematical Models ​ME 6
7.  Fractions in Algebra​ ​ME 7
8.  The Real Numbers​ ​ME 8
​9.  Basic Rules in Algebra ​ME 9
10. Operations With Real Numbers ​ME 10
11. Exponents and Order of Operations​ ​ME 11
​12. Sigma and Factorial Notations ​ME 12
13. The Addition Property of Equality​ ​ME 13
​14. The Multiplication Property of Equality ​ME 14
15. Solving Linear Equations ​ME 15
​16. Formulas and Percent ​ME 16
​17. An Introduction to Problem Solving ​ME 17
​18. Solving Linear Inequalities ​ME 18
​19. Graphing Linear Equations in Two Variables ​ME 19
​20. Graphing Linear Equations Using Intercepts ​ME 20
​21. Slope ​ME 21
​22. The Slope-Intercepts Form of the Equation of a Line ​ME 22
​23. The Point-Slope Form of the Equation of a Line ​ME 23
​24. Adding and Subtracting Polynomials ​ME 24
​25. Multiplying Polynomials ​ME 25
​26. Special Products ​ME 26
​27. Negative Exponents and Scientific Notation ​ME 27
​28. The Greatest Common Factors and Factoring by Grouping ​ME 28
​29. Factoring Trinomials ​ME 29
​30. Factoring Special Forms ​ME 30
​31. Solving Quadratic Equations By Factoring ​ME 31
​32. Solving Quadratic: The Quadratic Formula ​ME 32
​33. Introduction to Functions ​ME 33
34. Estimation, Graphs, and Mathematical Models​ ​ME 34
​35. Problem Solving ​ME 35
​36. Statements, Negations and Quantified Statements ​ME 36
​37. Compounded Statements and Connectives ​ME 37
​38. Truth Tables ​ME 38
​39. Equivalent Statements ​ME 39
​40. Percent, Sales Tax ​ME 40
​41. The Fundamental Counting Principle ​ME 41
​42. Permutations ​ME 42
​43. Combinations ​ME 43
​44. Fundamentals of Probability ​ME 44
​45. Sampling, Frequency Distributions, and Graphs ​ME 45
46. Measure of Central Tendency​ ​ME 46
 

 

Course Outcomes

 

​Outcomes

Model

Exercises​

Practice

Exercises​

1.  Simplify problems using the order of operations ​ME 1 ​PE 1
​2.  Simplify radical expressions ​ME 2 ​PE 2
​3.  Solve linear equations ​ME 3 ​PE 3
​4.  Solve linear inequalities ​ME 4 ​PE 4
​5.  Use summation notation (sigma notation) to evaluate a finite sum ​ME 5 ​PE 5
​6.   Determine if a given relation is a function ​ME 6 ​PE 6
​7.  Evaluate a function ​ME 7 ​PE 7
​8.  Find the slope of a line ​ME 8 ​PE 8
9.​  Find the x and y intercepts of a line ​ME 9 ​PE 9
​10. Find the equation of a line given two points ​ME 10 ​PE 10
​11. Find the union and intersection of two sets ​ME 11 ​PE 11
​12. Use Venn diagrams to solve set problems ​ME 12 ​PE 12
​13. Identify the cardinality of a given set ​ME 13 ​PE 13
​14. Use a truth table ​ME 14 ​PE 14
​15. State the converse, inverse and contrapositive of a statement ​ME 15 ​PE 15
​16. Write the logical representation of an argument ​ME 16 ​PE 16
​17. Find the mean, median and mode of a set of data ME 17 ​PE 17
 

 

 

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