Additional Mathematics (New)

Demonstrate mastery of some advanced concepts in Algebra and Calculus in problem solving
♿ Accessibility: | | | |

Demonstrate mastery of some advanced concepts in Algebra and Calculus in problem solving

Use Algebra and Calculus to solve problems in different contexts
Basic tenets of Algebra (sum and product of roots of a quadratic equation, solve algebraically and graphically linear and one quadratic equation, use the remainder theorem to find a remainder of a polynomial function of up to third degree) simultaneous equations involving one
Explore the basic tenets of Algebra (sum and product of roots of a quadratic equation, solve algebraically and graphically linear and one quadratic equation, use the remainder theorem to find a remainder of a polynomial function of up to third degree) simultaneous equations involving one
Basic tenets of Rational Functions (properties, asymptotes, domain and range, graphs)
Explore the basic tenets of Rational Functions (properties, asymptotes, domain and range, graphs)
Basic tenets of Differentiation (derivatives of polynomial and trigonometric functions: firstprinciples, power rule, chain rule, product rule and quotient rule)
Explore the basic tenets of Differentiation (derivatives of polynomial and trigonometric functions: firstprinciples, power rule, chain rule,
Apply differentiation to determine rates of change of quantities, maxima and minima of functions, turning points, points of inflection and curve sketching
Apply differentiation to determine rates of change of quantities, maxima and minima of functions, turning points, points of inflection and curve sketching
Indefinite and definite integrals of polynomial expressions and simple trigonometric functions
Determine indefinite and definite integrals of polynomial expressions and simple trigonometric functions
Apply Integration to determine area under a curve and volume of a solid of revolution of a simple curve about an axis
Apply Integration to determine area under a curve and volume of a solid of revolution of a simple curve about an axis
Apply sets theory skills in decision making
Basic tenets of set theory (operation on three sets, Venn diagrams, cardinality of a set, set properties and De Morgan’s laws)
Explore the basic tenets of set theory (operation on three sets, Venn diagrams, cardinality of a set, set properties and De Morgan’s laws)
Listening to this topic