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College Maths I

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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.

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ACE 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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