Introduction to Actuarial and Financial Mathematical Methods

Gebonden Engels 2015 9780128001561
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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.

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Inhoudsopgave

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 QuestionsIV: Appendices

A. Mathematical Identities

B. Proof of the Chain Rule

C. Long Division in Algebra

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          Introduction to Actuarial and Financial Mathematical Methods