FP2 SOW for Pupils
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Fp2 sow
Transcript of FP2 SOW for Pupils
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St. Martins School Brentwood N.OHare
FP2
Unit Topic Time Teaching
Time Consolidation
Teacher
FP2 46 hours
Inequalities Manipulate inequalities & solve. Use graphs to solve inequalities. Use graphs to solve inequalities & modulus functions
5 hours 5 hours MAN
Series Use the method of differences to sum simple finite series. Use partial fractions when expressing fractions ready for summation.
3 hours 3 hours NCO
Further Complex Numbers Express complex numbers in modulus-argument form. Use Eulers relation to rewrite complex numbers. Multiplying & dividing complex numbers. Understand & use relationships between arguments when multiplying or dividing complex numbers. Prove & use De Moivres theorem. Apply De Moivres theorem to trigonometric identities. Use De Moivres theorem to find nth terms of a complex numbers. Use complex numbers to represent a locus of points on an argand diagram. Use complex numbers to represent regions on an argand diagram. Apply transformations.
10 hours 10 hours AZH
First Order Differential Equations Solve first order differential equations where separation is used or not used & sketch families of solution curves. Solve equations where one side is the derivative of a product & other side can be integrated. Solve by using an integrating factor. Use substitution to reduce a differential equation into one of the above & solve.
7 hours 7 hours NCO
Second Order Differential Equations Find general solution of a second order differential equation given in a basic form. Find the general solution using auxiliary
7 hours 7 hours NCO
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St. Martins School Brentwood N.OHare
equation for 1 real root, 2 real roots, imaginary or complex roots. Find the particular solutions for equations. Find general solutions to second order differential equations. Use boundary conditions. Use substitution to transform a second order differential equation into one of the above & solve.
Maclaurin & Taylor Series Given y find successive derivatives. Express functions of x as infinite series using Maclaurins expansion. Use expansion to find approximations. Find series expansions of composite functions. Use Taylors expansion. Find solution to a differential equation using Taylor series.
4 hours 4 hours NCO
Polar Coordinates Use polar & Cartesian coordinates & convert between the two. Switch between polar equations & Cartesian equations. Sketch curves from the polar equations. Use integration to find areas of sectors of curves given the polar equations. Use the polar equations to find tangents to a curve that are parallel or perpendicular to the initial line. Solve problems involving polar equations & curves.
10 hours 10 hours MAN
FP2 Examination Friday 22nd June 2012
