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 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.

Presents a self-study mathematics refresher course for the first two years of an actuarial programFeatures examples, motivations, and practice problems from a large number of end-of-chapter questions designed to promote independent thinking and the application of mathematical ideasPractitioner friendly rather than academicIdeal for self-study and as a reference source for readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute

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