496957
Description
Mind Map by declanlarkins, updated more than 1 year ago
More
Mathematics:
FP1
- Summation of series
- Recognise convergence
- Find sum to infinity
- Find sum to infinity
- Method of differences
- Use standard results
Annotations:
- \(\Sigma\)r, \(\Sigma\)\(r^2\), \(\Sigma\)\(r^3\)
- Recognise convergence
- Proof by induction
- Generate conjecture based
on limited results to then prove
- Method of induction
- Generate conjecture based
on limited results to then prove
- Roots of polynomial equations
- Use substitution
to find an equation
with roots linked to
original
- Relations
between
roots and
coefficients
- Quadratic or cubic only
- Quadratic or cubic only
- Use substitution
to find an equation
with roots linked to
original
- Complex Numbers
- Non-real roots
occur in
conjugate pairs...
- If polynomial has real coefficients
- If polynomial has real coefficients
- Addition, subtraction,
multiplication and division
- Understand...
- Real part
- Imaginary part
- Modulus
- Argument
- Conjugate
- Real part
- Draw Argand diagrams
- Geometrical relationship
between conjugates
- Loci of
modulus=modulus
and inequalities
- Geometrical relationship
between conjugates
- Square roots
- Non-real roots
occur in
conjugate pairs...
- Matrices
- Addition,
subtraction,
multiplication
- Understand null
and identity
matrices
- Know 2 x 2 identity
- Know 2 x 2 identity
- Singular and non-singular
- Determinants and
inverses (2x2 and 3x3)
- Use given result for
inverse of products
Annotations:
- (\(AB^{-1}\)) = \(B^{-1}\)\(A^{-1}\)
- Recognise that 2x2 matrices
can represent transformations
- Matrix AB is the transformation B
followed by the transformation A
- Area scale factor is
related to determinant
- Rotations
- Reflections
- Stretch
- Shear
- Enlargement
- Matrix AB is the transformation B
followed by the transformation A
- Understand link with solving
simultaneous equations
- Formulate appropriate
matrices to solve given
equations
- Formulate appropriate
matrices to solve given
equations
- Understand consistency
and inconsistency of
simultaneous equations
and link to determinant
- Addition,
subtraction,
multiplication
Want to create your own Mind Maps for free with GoConqr? Learn more.