P4 Course Content
INEQUALITIES: manipulation and solution, including use of modulus.
SERIES: summation of finite series, sum of r, r^2, r^3, method of differences.
COMPLEX NUMBERS: a + ib, r(coso + isino) sum, product, qotient, Argand diagram, geometrical representation, complex solutions of quadratic equations, complex conjugate.
DIFFERENTIAL EQUATIONS: first order separable variable, use of integrating factor and substitution, second order, particular integral, complementary function, equations reducible by substitution.
NUMERICAL SOLUTIONS OF EQUATIONS: interval bisection, linear interpolation, Newton-Raphson.
POLAR COORDINATES: (r,o), use of formula for area.
Course Programme
0915 Coffee
0930 INTRODUCTION AND SESSION I: Inequalities, Series
1115 Coffee
1130 SESSION II: Numerical solutions, Complex numbers, Polar coordinates
1300 Lunch
1345 SESSION III: Differential equations
1515 Tea and depart
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