Specification points
SQA Advanced Higher Mathematics C847 77
38 points in 3 topics, with SQA's codes and titles.
Grade boundaries·SQA command words
Codes and titles are read by a script from SQA's published specification and have not been checked by a person. What each point covers is in the specification itself: SQA’s specification.
1 Calculus
- 1.1 Differentiating exponential and natural logarithmic functions
- 1.2 Differentiating functions using the chain rule
- 1.3 The product and quotient rules
- 1.4 Differentiating inverse trigonometric functions
- 1.5 Finding the derivative where relationships are defined implicitly
- 1.6 Finding the derivative where relationships are defined parametrically
- 1.7 Applying differentiation to problems in context
- 1.8 Integrating expressions using standard results
- 1.9 Integrating by substitution
- 1.10 Integrating by parts
- 1.11 Applying integration to problems in context
- 1.12 Solving first-order differential equations with variables separable
- 1.13 Solving first-order linear differential equations using an integrating factor
- 1.14 Solving second-order differential equations
2 Algebra, proof and number theory
- 2.1 Partial fractions
- 2.2 Finding the asymptotes to the graphs of rational functions
- 2.3 Investigating features of graphs and sketching graphs of functions
- 2.4 Expanding expressions using the binomial theorem
- 2.5 Finding the general term and summing arithmetic and geometric progressions
- 2.6 Applying summation formulae
- 2.7 Maclaurin expansions
- 2.8 Disproving a conjecture by providing a counterexample
- 2.9 Using indirect or direct proof in straightforward examples
- 2.10 Using proof by induction
- 2.11 Euclid’s algorithm for the greatest common divisor
3 Matrices, vectors and complex numbers
- 3.1 Gaussian elimination for a 3×3 linear system
- 3.2 Understanding and using matrix algebra
- 3.3 Calculating the determinant of a matrix
- 3.4 Finding the inverse of a matrix
- 3.5 Using transformation matrices
- 3.6 Calculating a vector product
- 3.7 Working with lines in three dimensions
- 3.8 Working with planes
- 3.9 Performing algebraic operations on complex numbers
- 3.10 Performing geometric operations on complex numbers