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Fundamental Of Mathematics

 

Syllabus

Schedule

 

 

REVIEW TEST 1

REVIEW TEST 2

REVIEW TEST 3

 

 LECTURE NOTES

Lessons

Model

Exercises​

​1.  Mathematics and Problem Solving ​ME 1
​2.  Exploration with Patterns ME 2
​3.  Reasoning and Logic ME 3
​4.  Numeration System ​ME 4
​5.  Describing Sets ME 5
​6.  Other Set Operations and Their Properties ME 6
​7.  Addition and Subtraction of Hole Numbers ME 7 ​
8.  Algorithms for Whole Numbers Addition and Subtraction​ ​ME 8
​9.  Multiplication and Division with Whole Numbers ​ME 9
10. Algorithms for Whole-Numbers Multiplication and Division ​ ME 10
​11. Divisibility ME 11
​12. Prime and Composite Numbers ME 12
13. Greatest Common Divisor and Least Common Multiple​ ​ME 13
​14. Integers and Addition and subtraction of Integers ​ME 14
​15. Multiplication and Division of Integers ​ME 15
​16. The Set of Rational Numbers ​ME 16
​17. Addition and Subtraction of Rational Numbers ​ME 17
​18. Multiplication and Division of Rational Numbers ​ME 18
​19. Introduction to Decimals ​ME 19
​20. Operations on Decimals ​ME 20
​21. Nonterminating Decimals ​ME 21
22. Real Numbers ​ME 22
​23. Variables  ​ME 23
​24. Equations ​ME 24
25. Functions​ ​ME 25

 

 

 

OBJECTIVES 

​Outcomes

Model

Exercises​

Practice​

Exercises

Determine whether a sequence is arithmetic, geometric or neither and write subsequent terms​ ​ME 1 ​PE 1
Write the negation of a statement​ ​ME 2 ​PE 2
Write contrapositive, converse and inverse of a statement​ ​ME 3 ​PE 3
Complete a truth table​ ​ME 4 PE 4​
Perform operations on sets including unions, intersections, and complements​ ​ME 5 PE 5​
Determine the cardinality of a set​ ​ME 6 ​PE 6
Determine whether a relation is a function​ ​ME 7 ​PE 7
Perform operations on functions​ ​ME 8 ​PE 8
Use Venn Diagrams to perform operations on sets​ ​ME 9 ​PE 9
​Count and convert in different number bases ​ME 10 ​PE 10
Perform operations in different number bases​ ​ME 11 ​PE 11
Identify examples of the axioms of real numbers​ ​ME 12 ​PE 12
​Use different algorithms to perform the basic operations on whole numbers ​ME 13 ​PE 13
Use the tests for divisibility​ ​ME 14 ​PE 14
Determine the LCM and GCF of numbers and apply to arithmetic and algebraic fractions​ ​ME 15 ​PE 15
Classify real numbers as to the set(s) which they belong ​ME 16 ​PE 16
  

 

   

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