TOPICS IN MATHEMATICS
MGF 1106 Topics in Mathematics (3) (A.A.) Three hours lecture per week. Prerequisite: MAT 1033 or equivalent. This course meets Area II requirements for both A.A. General Education Requirements and A.S. General Education Requirements. Topics include set theory, logic, measurement, geometry, counting principles, probability, and statistics.
STUDENT LEARNING OUTCOMES
The student, upon successful completion of this course, should be able to:
Demonstrate the knowledge of sets, subsets, intersection, union, and complements of sets.
State the validity of an argument using truth tables, Venn diagrams, or Euler circles.
Determine whether the two given arguments are logically equivalent.
Write the contrapositive, converse, inverse and negation of a statement.
Define angles and compute measures of unknown angles.
Apply the knowledge of the properties of plane geometric figures.
Use the properties of congruent and similar triangles.
Apply counting principles, including permutations and combinations.
Use rules of probability to determine the likelihood of an event or combination of events occurring.
Determine whether events are independent and determine whether a compound event is mutually exclusive.
Use conditional probability to determine the probability of one event occurring given the outcome of another event.
Compute descriptive statistics, including mean, mode, median, range, variance and standard deviation, for a given sample or population.
Provide historical context of selected mathematical discoveries.
Convert length, area, and volume units of measures from English to Metric and back.
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