Introduction to Actuarial and Financial Mathematical Methods book cover

Introduction to Actuarial and Financial Mathematical Methods

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 Mathematical Methods for Actuarial and Financial Self-Study features examples, motivations, and lots of practice from a large number of end-of-chapter questions. Questions range from short calculations to large project-based assignments, all designed to promote independent thinking and the application of mathematical ideas. Model solutions are included.

The intuitive organization of Mathematical Methods for Actuarial and Financial Self-Study maximizes its usefulness as a means of self-study and as a reference source. Financial concepts and terminology introduce every mathematical concept and theory. For readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute, Mathematical Methods for Actuarial and Financial Self-Study can provide a consistency of mathematical knowledge from the outset.

Audience
Actuarial and finance students worldwide who need to learn or revisit fundamental applied mathematical tools and techniques

Hardbound, 496 Pages

Published: June 2015

Imprint: Academic Press

ISBN: 978-0-12-800156-1

Contents

  • 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: Appedices

          A. Mathematical identities

          B. Proof of the chain rule

          C. Long division in algebra

           

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