# MATH 5030

**Textbook:** Actuarial Mathematics by N.L. Bowers, H.U. Gerber, J.C. Hickman, D.A. Jones and C.J. Nesbitt, 2e

**Prerequisite:** Math 5010 or permission of the instructor

**Topics to be covered:**
- Utility theory and optimal insurance
- Individual risk models
- Survival distributions and life tables
- Life insurance
- Life annuities
- Benefit premiums
- Benefit reserves
- Analysis of benefit reserves
- Collective risk models
- Application of risk theory

**Homework:** At the end of each chapter there are several exercises. You should work on the exercises since the midterms and the final will include similar problems.

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