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Financial Mathematics

By David A. Smith

Financial Mathematics is an amalgamation of the folowing topics of mathematics: (i) interest problems including simple and compound interest, present and future values of annuities, force of interest, and equations of value (ii) applications of derivatives including absolute extrema, relative extrema, finding critical numbers, finding absolute extrema, optimization using derivatives, rolle's theorem, mean value theorem, increasing and decreasing functions, first derivative test, concavity and inflection points, second derivative test, sketching the graph of a function, limits to infinity and horizontal asymptotes, infinite limits and vertical asymptotes, vertical tangents and cusps, curve sketching, indeterminate forms, l hospital rule, and optimization techniques.

Recommended Reading
exponential and logarithmic functions
applications of derivatives
financial applications

Financial Mathematics Books