Advanced Higher Maths past papers

Advanced Higher Maths topics in these papers

Differentiating exponential and natural logarithmic functions · Differentiating functions using the chain rule · Differentiating functions given in the form of a product and in the form of a quotient · Using Gaussian elimination to solve a 3 × 3 system of linear equations · Performing geometric operations on complex numbers · Differentiating inverse trigonometric functions · Expanding expressions using the binomial theorem · Using the Maclaurin expansion to find specified terms of the power series for simple functions · Performing algebraic operations on complex numbers · Finding the derivative where relationships are defined implicitly · Decomposing a rational function into a sum of partial fractions (denominator of degree at most three) · Finding the general term and summing arithmetic and geometric progressions · Using Euclid’s algorithm to find the greatest common divisor of two positive integers · Integrating expressions using standard results · Calculating the determinant of a matrix · Finding the inverse of a matrix · Understanding and using matrix algebra · Integrating by substitution · Investigating features of graphs and sketching graphs of functions · Finding the derivative where relationships are defined parametrically · Not in the current specification · Integrating by parts · Solving first-order differential equations with variables separable · Finding the asymptotes to the graphs of rational functions