To introduce the basic concepts in actuarial mathematics, methods and techniques, including interest theory, life functions, the actuarial present value of life insurance, the actuarial present value of life annuity, net premiums and fee load premiums, reserve theory and simple Joint-life function. Students should be askedto use random mathematics to study random events in the life insurance. Students should familiar with basic random payment model and the relationship between each other, to master a variety of payment of the actuarial present value as well as various types of calculation method of net premiums and reserves, and using actuarial principles to solve problems in the life insurance, and to lay a good foundation for future work.