This self-contained module for independent study covers the subjects most often needed by non-mathematics graduates, such as fundamental calculus, linear algebra, probability, and basic numerical methods. The easily-understandable text of Introduction to Actuarial and Mathematical Methods features examples, motivations, and lots of practice from a large number of end-of-chapter questions. For readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute, Introduction to Actuarial and Mathematical Methods can provide a consistency of mathematical knowledge from the outset.
Prof. Stephen Garrett is Professor of Mathematical Sciences at the University of Leicester in the UK. He is currently Head of Actuarial Science in the Department of Mathematics, and also Head of the Thermofluids Research Group in the Department of Engineering. These two distinct responsibilities reflect his background and achievements in both actuarial science education and fluid mechanics research. Stephen is a Fellow of the Royal Aeronautical Society, the highest grade attainable in the world's foremost aerospace institution.
I: Fundamental Mathematics 1. Mathematical Language 2. Exploring Functions 3. Differential Calculus 4. Differential Calculus II 5. Sequences and Series 6. Integral Calculus I 7. Integral Calculus II II: Further Calculus 8. Complex Numbers 9. Introductory Linear Algebra 10. Probability Theory 11. Implicit Functions and ODEs 12. Multivariate Calculus 13. Introductory Numerical Methods III: Worked Solutions to Questions IV: Appendices A. Mathematical Identities B. Proof of the Chain Rule C. Long Division in Algebra