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# Fundamentals Of Mathematics

Syllabus

Schedule

REVIEW TEST 1

REVIEW TEST 2

REVIEW TEST 3

LECTURE NOTES

Lessons

Model

Exercises

1.  Mathematics and Problem SolvingME 1
2.  Exploration with PatternsME 2
3.  Reasoning and LogicME 3
4.  Numeration SystemME 4
5.  Describing SetsME 5
6.  Other Set Operations and Their PropertiesME 6
7.  Addition and Subtraction of Hole NumbersME 7
8.  Algorithms for Whole Numbers Addition and SubtractionME 8
9.  Multiplication and Division with Whole NumbersME 9
10. Algorithms for Whole-Numbers Multiplication and Division ME 10
11. DivisibilityME 11
12. Prime and Composite NumbersME 12
13. Greatest Common Divisor and Least Common MultipleME 13
14. Integers and Addition and subtraction of IntegersME 14
15. Multiplication and Division of IntegersME 15
16. The Set of Rational NumbersME 16
17. Addition and Subtraction of Rational NumbersME 17
18. Multiplication and Division of Rational NumbersME 18
19. Introduction to DecimalsME 19
20. Operations on DecimalsME 20
21. Nonterminating DecimalsME 21
22. Real NumbersME 22
23. Variables ME 23
24. EquationsME 24
25. FunctionsME 25

OBJECTIVES

Outcomes

Model

Exercises

Practice

Exercises

Determine whether a sequence is arithmetic, geometric or neither and write subsequent termsME 1PE 1
Write the negation of a statementME 2PE 2
Write contrapositive, converse and inverse of a statementME 3PE 3
Complete a truth tableME 4PE 4
Perform operations on sets including unions, intersections, and complementsME 5PE 5
Determine the cardinality of a setME 6PE 6
Determine whether a relation is a functionME 7PE 7
Perform operations on functionsME 8PE 8
Use Venn Diagrams to perform operations on setsME 9PE 9
Count and convert in different number basesME 10PE 10
Perform operations in different number basesME 11PE 11
Identify examples of the axioms of real numbersME 12PE 12
Use different algorithms to perform the basic operations on whole numbersME 13PE 13
Use the tests for divisibilityME 14PE 14
Determine the LCM and GCF of numbers and apply to arithmetic and algebraic fractionsME 15PE 15
Classify real numbers as to the set(s) which they belongME 16PE 16