Real-World Applications (Leaving Cert Applied Maths): Flashcards
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Two main components of calculus
Two main components of calculus
Differentiation and integration
Two mathematicians who developed calculus
Two mathematicians who developed calculus
Isaac Newton and Gottfried Leibniz
Century when calculus began
Century when calculus began
17th century
What differentiation finds
What differentiation finds
Rates of change
Main use of differentiation
Main use of differentiation
Maximise or minimise quantities
Solar plants use differentiation for
Solar plants use differentiation for
Maximising efficiency by positioning heliostats
Differentiation in biology studies
Differentiation in biology studies
Population growth rates
Forensic use of differentiation
Forensic use of differentiation
Estimate time of death
What integration calculates
What integration calculates
Areas, volumes, accumulated quantities
Integration vs differentiation
Integration vs differentiation
Integration is reverse of differentiation
Integration finds areas of what shapes
Integration finds areas of what shapes
Irregular, curved objects
Integration evaluates in car safety
Integration evaluates in car safety
Head Injury Criterion
Developer of difference equations (1870s)
Developer of difference equations (1870s)
George Boole
Difference equations model what
Difference equations model what
Steady increases/decreases at regular intervals
Difference equations in finance calculate
Difference equations in finance calculate
Fixed loan and mortgage repayments