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International Certificate of Christian EducationSkills:

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General Overview An introduction to various mathematical concepts. This course covers such topics as sets, logic, functions, and mathematical systems. 1 Sets I: A study of sets, symbols, roster and set builder notation in defining sets, with emphasis on identifying sets. 2 Sets II: A further study of sets: power sets, disjoint sets, intersection and union, relative complements of a set, and unary and binary operations. 3 Sets III and Logic I: A completion of sets: (infinite sets) and an introduction to logic, defining statements, and quantifiers. 4 Logic II: Defining the truth as a statement, using a Venn diagram, identifying logically true statements, and logically false statements. 5 Logic III: Another study of logical reasoning: conditional statements, biconditionals, variations on the conditional, and tautologies. 6 Deductive Reasoning: An introduction to deductive reasoning: the validity of arguments, theorems, indirect proofs, and invalid arguments. 7 Relations and Functions: A study in relations and functions, with ways of representing functions, inverses, and special functions. 8 Compositions of Functions and Binary Operations: A study of the composition of functions and binary operations. 9 Groups: A study of groups: definitions, proving theorems about groups, subgroups, and group generators. 10 From Groups to Fields: A further study of the isomorphisms of groups, rings and subrings, and integral domains and fields.

More course informationGeneral English

General English course description

Cross-Cultural Communication, Vocabulary Building, Oral Communication, Reading Comprehension, Language Proficiency

More about this courseAlgebra I

General Overview The following concepts are addressed in this course: Monomial and polynomial expressions Algebraic addition and subtraction, algebraic multiplication and division Factoring, quadratic equations, positive and negative numbers, averages, percent, interest, ratio and proportions Description of the content of each PACE: PACE 1097 - 1108 1097 Definitions of algebra, signs of operation, algebraic expressions Exponents, radical signs, powers and roots Order of operations for combining terms Positive and negative numbers Adding, subtracting, multiplying, dividing Stating numerical relationships 1098 Solving and proving algebraic equations Equations with one unknown Axioms for solving algebraic equations Transposing terms in algebraic equations Cancelling terms in algebraic equations Simplifying equations by multiplying or dividing Equations with parentheses Word problems 1099 Review of monomials: addition-subtraction; multiplication-division Polynomials in proper order: addition-subtraction; multiplication-division Review of basic Math and Algebra 1100 Using parentheses, brackets, and braces in algebra Multiplying polynomials horizontally Recognizing the difference of two squares Factoring the difference of two squares Recognizing a perfect square trinomial Factoring a perfect square trinomial Factoring polynomials 1101 Algebraic fractions: reducing-simplifying; addition-subtraction; multiplication-division Simplifying complex fractions Substituting numerical values and simplifying Solving and proving fractional equations Word problems Review of basic Math and Algebra 1102 Simple simultaneous equations: addition, substitution, subtraction Algebraic graphs Linear equations Inconsistent and dependent equations Word problems Review of basic math shortcuts for multiplying and dividing 1103 Recognizing sets and subsets Stating the union and intersection of sets Using Venn diagrams Equations with one unknown: recognizing, solvi

Set Theory, Graphing, Problem Solving, Mathematical Modeling, Order of Operations, Equation Solving, Algebraic Manipulation

More about this courseACE Monitor Training I

General Overview A.C.E Professional Training This course must be taken at an approved A.C.E. Professional Training Centre under an accredited A.C.E. trainer. The School or HEA Coordinator should contact their A.C.E. service provider for details regarding training opportunities. A.C.E Monitor Training For this course, students must complete the Training PACEs at an approved A.C.E. school, regional HEA office, or an approved area rep's house (where available). Please contact the ICCE Office to confirm approved schools. The School or HEA Coordinator should contact their A.C.E. service provider for details of the PACEs to be completed. Students taking either of these credits will no longer need to submit an essay. However, they must now complete the following in an approved A.C.E. school. Either - 36 hours of service alongside the A.C.E. Professional Training or - 48 hours of service alongside the A.C.E Monitor Training PACEs. In each case the student should complete a minimum of six A.C.E. Training PACEs. All Test results, moderation results and a signed affidavit by the approved A.C.E. school regarding the hours of service MUST be submitted to the ICCE Global office upon application for graduation, to be accepted for the certificate. Please remember, if the A.C.E. Professional Training is undertaken, they may act as a Supervisor in an ACE school; if the A.C.E Monitor Training is undertaken, they may only act as a Monitor in an ACE school

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