HKU Bsc(AC) maths related courses

HKU Bsc(AC) maths related courses - Textbooks References...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
STAT1801 Probability and statistics: foundations of actuarial science Textbooks I. Miller & M. Miller: John E. Freund's Mathematical Statistics with applications (Pearson Education International, 2004, 7th edition) References M. A. Bean: Probability: The Science of Uncertainty with Applications to Investments, Insurance, and Engineering (Brooks/Cole, Thomas Learning) S. Ghahramani: Fundamentals of Probability, with Stochastic Processes (2005, 3rd edition) S. M. Ross: A First Course in Probability (2005, 7th edition) Course Contents 1. General Probability - Basic elements of probability in set notation - Mutually exclusive events - Addition and multiplication rules - Independence of events - Combinatorial probability - Conditional probability and expectations - Bayes Theorem / Law of total probability - Random variables 2. Univariate probability distributions (including binomial, negative binomial, geometric, hypergeometric, Poisson, uniform, exponential, chi-square, beta, Pareto, lognormal, gamma, Weibull and normal) and bivariate normal distribution - Probability functions and probability density functions - Cumulative distribution functions - Mode, median, percentiles and moments - Variance and measures of dispersion - Central Limit Theorem 3. Sampling distributions and introduction of estimation STAT1802 Financial mathematics Textbooks Broverman, S. A.: Mathematics of Investment and Credit (ACTEX Publications - Mad River Books: Connecticut, 2004, 3rd edition) McDonald, R. L.: Derivatives Markets (Addison-Wesley: New York, 2005, 2nd edition) References Kellison, S. G.: The Theory of Interest (Irwin: Illinois, 1991, 2nd edition) Key topics include: 1. measurement of interest, annuities certain; 2. discounted cash flow analysis; 3. yield rates; 4. amortization schedules and sinking funds; 5. bonds and related securities; 6. practical applications such as real estate mortgage, short sales and modern financial instruments; 7. stochastic approaches to interest; 8. financial derivatives including forwards, futures, options and swaps; 9. insurance, collars and other strategies; 10. introduction to risk management.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
MATH1813 - Mathematical Methods for Actuarial Science Textbook or Reference K Binmore and J Davies: Calculus - Concepts and Methods (Cambridge University Press, 2001) Content 2. 1. Matrices, systems of linear equations, determinants 2. Eigenvalues and eigenvectors, diagonalization of matrices 3. Quadratic functions and their standard forms 4. Functions of several variables; partial differentiation; directional derivatives 5. Taylor approximations 6. Maxima and minima; Lagrangian multipliers 7. Double and triple integrals 8. Simple differential equations
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/08/2011 for the course MATHS 1233 taught by Professor Dr during the Spring '11 term at CUHK.

Page1 / 6

HKU Bsc(AC) maths related courses - Textbooks References...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online