What I teach
I have experience teaching a broad range of pre-university maths: primary school and KS3 (including 11+ and SATs preparation), GCSE (foundation and higher tier), all major A-level syllabuses (AQA, MEI, OCR and EdExcel, including Further Mathematics), adult numeracy, and the maths aspects of technical college courses in Computing, Construction, Engineering and Business. I may be able to help in related subjects such as GCSE and AS/A2 Physics - just ask.
I have tutored students at many universities, including Cambridge, Imperial, LSE, UCL, Kings College London, Barts Medical School, Cass Business School, Birkbeck, Nottingham, Keele and Essex as well as several international institutions including Grenoble École de Management, UC Denver, University of Syracuse (NY), and the University of Southern Queensland.
This included Quantitative Methods for courses such as BSc Economics, BSc Banking, MBA Finance and MPA Public Administration; Statistical Methods on courses such as BA Social and Political Science, BA Marketing, BSc Equine Science, and MSc Microbiology; as well as tutoring undergraduate mathematics.
I also have helped PGCE students with the QTS Numeracy Test and Primary Maths Audit.
The following list of search terms gives more specific indication of some of the more advanced topics that I could help you with - if in doubt, contact me and we can discuss your individual needs.
A level Core Mathematics: C1, C2, C3, C4, algebra, simultaneous equations, inequalities, binomial expansion, polynomials, sequences and series, logarithms and exponentials, graphs and sketching, calculus, differentiation, integration, differential equations, optimisation, geometry, trigonometry, radians, vectors, functions, numerical solutions.
A level Mechanics: M1, M2, M3, M4, force, mass, acceleration, gravity and inclined planes, linkages, momentum, kinematics, collisions, impulse, projectiles, circular motion, work, energy and power.
A level Statistics: S1, S2, S3, S4, probability, dependence and independence, probability distributions (uniform, geometric, binomial, poisson, normal), averages and spread, expectation, standard deviation, graphical representation (histograms, scatter diagrams etc), correlation, regression, sampling, hypothesis testing, Type I and II error, sample mean, confidence intervals.
A level Further Pure Mathematics: FP1, FP2, FP3, FP4, complex numbers, polar coordinates, hyperbolics, curve-sketching, proof, induction, matrices, determinants, groups, intrinsic coordinates, Taylor series, numerical methods, arc length, surface of revolution.
General Statistics: types of graph and chart and their suitability, sample size selection, sampling techniques, hypothesis testing (z, t, chi squared, difference of proportions, non-parametric etc), signficance, p values, power of a test, statistical software (MINITAB, SPSS, GenStat), linear models, correlation, regression, multiple regression, ANOVA, generalised linear models (binomial regression, poisson regression), clustering analysis, internal consistency (Cronbach's alpha), time series (seasonality, autocorrelation, exponential smoothing, Holt-Winters, ARIMA), principal component analysis, discriminant analysis, Bayesian statistics, probability models (distributions in space and time, Markov chains, Monte Carlo modelling, random walks, hazard function, statistical genetics, epidemeological modelling).
Medical Statistics: including randomized controlled trials, cohort studies, case-control studies, odds ratio, relative risk, bias and confounding, causation (Bradford Hill criteria), stratified analysis (Mantel-Haenszel odds ratio, Tarone's Test), choice of sample size (hypotheses, significance level, power), meta-analysis (systematic reviews, forest plots, funnel plots).
Financial mathematics: including time value of money, discounting, net present value of an annuity or cash flow, portfolio return, ARIMA and random walk modelling for time series.