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 program Features examples, motivations, and practice problems from a large number of end-of-chapter questions designed to promote independent thinking and the application of mathematical ideas Practitioner friendly rather than academic Ideal 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 Content: Front Matter, Pages i-iii Copyright, Page iv Dedication, Page v Preface, Pages xi-xii Chapter 1 - Mathematical Language, Pages 3-21 Chapter 2 - Exploring Functions, Pages 23-80 Chapter 3 - Differential Calculus, Pages 81-117 Chapter 4 - Differential Calculus II, Pages 119-145 Chapter 5 - Sequences and Series, Pages 147-191 Chapter 6 - Integral Calculus I, Pages 193-216 Chapter 7 - Integral Calculus II, Pages 217-241 Chapter 8 - Complex Numbers, Pages 245-273 Chapter 9 - Probability Theory, Pages 275-304 Chapter 10 - Introductory Linear Algebra, Pages 305-351 Chapter 11 - Implicit Functions and ODEs, Pages 353-375 Chapter 12 - Multivariate Calculus, Pages 377-410 Chapter 13 - Introductory Numerical Methods, Pages 411-463 Chapter 1 Solutions, Pages 467-469 Chapter 2 Solutions, Pages 471-481 Chapter 3 Solutions, Pages 483-490 Chapter 4 Solutions, Pages 491-499 Chapter 5 Solutions, Pages 501-507 Chapter 6 Solutions, Pages 509-516 Chapter 7 Solutions, Pages 517-525 Chapter 8 Solutions, Pages 527-530 Chapter 9 Solutions, Pages 531-535 Chapter 10 Solutions, Pages 537-544 Chapter 11 Solutions, Pages 545-556 Chapter 12 Solutions, Pages 557-567 Chapter 13 Solutions, Pages 569-578 Appendix A - Mathematical Identities, Pages 583-586 Appendix B - Long Division of Polynomials, Pages 585-597 Bibliography, Page 599 Index, Pages 601-609
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 program
- Features examples, motivations, and practice problems from a large number of end-of-chapter questions designed to promote independent thinking and the application of mathematical ideas
- Practitioner friendly rather than academic
- Ideal 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
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. 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 "Introduction to Actuarial and Mathematical Methods" 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, "Introduction to Actuarial and Mathematical Methods" can provide a consistency of mathematical knowledge from the outset. -- From book cover 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.