The IB HL Flipping Maths Videos are grouped into:
1a) Geometric and arithmetic sequences and series, binomial expansion, permutations, induction, logs:
1b) Complex numbers – DeMoivre’s Theorem, converting between polar and Cartesian, sketching complex numbers, solving nth roots, equating real and imaginary parts of equations:
2) Finding vertical and horizontal asymptotes, domains, absolute values of graphs, factor and remainder theorem, solving quadratics using the determinant, inverse functions:
3) Converting between radians and degrees, sketching trig graphs, using trig formulae, sketching inverse trig functions, solving trig equations using factorisation.
4) Dot products, cross products, unit vectors, parametric equations. Vector equations of lines, planes, intersection of a line and a plane, intersection of 2 planes.
5) Basic probability, bayes Theorem, binomial distribution, introduction to standard deviation, Poisson distribution, Normal distribution – finding probabilities and z values, permutations
Calculus
6a) Differentiation rules – chain, product, quotient. Optimisation, implicit differentiation, rates of change, equation of tangents.
6b) Integration rules, definite integrals, areas between curves, volume of revolutions, trig substitutions, integration by parts, u substitutions.
7) Option Paper
Limits, limits at infinity, determining if limits exist, differentiating from first principles, L’Hopital’s Rule, Squeeze theorem, Rolle’s theorem, Mean Value theorem.
differential equations, solving differential equations through separating variables, substitution and integrating factor, sketching slope fields.
Improper integrals, Comparison test, Riemann sums, divergence test, comparison test, limit comparison test, alternating series test, absolute convergence, power series, Ratio test.
Power series, Taylor and Maclaurin series,
*this may need updating as the syllabus is a little different now*
Revision Videos
8) Revision Videos: A fantastic collection of detailed videos on each topic specifically made for SL maths- but also useful for HL students –
you need to know all this as well! Algebra, Functions, Probability and Statistics, Trigonometry, Vectors and Calculus reviewed in depth (each video is
about 40 minutes and goes through all core content with worked examples). There’s also a comprehensive GDC review of all techniques needed for the paper 2 calculator exam.
Most of the videos are taken from the two fantastic video collections of PatrickJMT and ExamSolutions. Both have even more videos to watch to view topics in more detail.
The IB SL Flipping Maths Videos are grouped into:
1) Algebra: geometric and arithmetic sequences and series, binomial expansion, log laws and rearrangements, natural log and e.
2) Functions: Finding domains and inverses, function notation and inverses, vertical asymptotes, solving quadratics using the determinant, basic transformations and sketching quadratics.
3) Trigonometry: Sine and cosine rules, converting between radians and degrees, remembering the unit circle sketching trig graphs, using trig formulae, solving trig equations using factorisation.
4) Vectors: Dot products, unit vectors, magnitudes, vector equations of lines, checking if lines intersect, shortest distance from a point to a line.
5a) Probability and Stats 1: Finding the mean from grouped data, finding the median from cumulative frequency curves, introduction to standard deviation, correlation, Pearson’s Product Moment
5b) Probabilty and Stats 2: Normal distribution – finding probabilities and z values, Bayes theorem, binomial distribution, expected values.
6a) Calculus 1: Differentiation rules – chain rule, product rule, quotient rule. Optimisation, classifying stationary points, kinematics, equation of tangents.
6b) Calculus 2: integration rules, definite integrals, areas between curves, volume of revolutions.
7) Revision Videos: A fantastic collection of detailed videos on each topic in SL maths. Algebra, Functions, Probability and Statistics, Trigonometry, Vectors and Calculus reviewed in depth (each video is about 40 minutes and goes through all core content with worked examples). There’s also a comprehensive GDC review of all techniques needed for the paper 2 calculator exam. Also useful for HL students – you need to know all this as well!
8) Mitch Campbell’s IB SL videos. A new collection of videos made just for IB. At the moment he has made playlists for
b) algebra
d) calculus
e) Vectors
Most of the videos above are taken from the two fantastic video collections of PatrickJMT and ExamSolutions. Both have even more videos to watch to view topics in more detail.