Complex Numbers and Calculus II
Numbers beyond the real line, and the harder half of the calculus.
01Complex NumbersThe imaginary unit and arithmetic with complex numbers, conjugates and division, the Argand diagram, modulus–argument form, De Moivre's theorem, and complex roots of polynomials.100 questions02Differentiation IIDerivatives of exponential and logarithmic functions, implicit differentiation for curves that are not functions, parametric differentiation, the inverse trigonometric derivatives, and higher derivatives.100 questions03Integration IIThe standard integrals including 1/x and e^x, integration by substitution, integration by parts and how to choose u, splitting a fraction into partial fractions before integrating, and the trapezium rule.100 questions