Basic Business Mathematics 1. Theory of Mathematical Relationships a) Tables b) Graphs c) Equations d) Describing change: absolute change and relative change. 2. Functions a) Linear Functions: interpretation of slope b) Power Functions: Rules of Exponents c) Exponential Functions d) Logarithmic Functions: interpretation and linear approximation 3. Optimization under linear constraints a) Learning to express simple business problem mathematically b) Identifying and graphing constraints c) Finding optimal solutions 4. Introduction to the Mathematics of Finance a) definition of simple interest b) discrete compound interest formula c) continuous compound interst formula d) future and present value e) mathematics of investment returns f) Geometric series and annuities 5. Calculus: The Derivative a) interpretation and derivation of the derivative b) evaluating the derivative for linear, power, exponential and logarithmic functions c) the addition, product and division rules: learning to find the derivative of combinations of basic functions 6. Calculus: Optimization a) Representing business problem mathematically b) Maximums and Minimums of functions c) Using differentials to optimize business problems 7. Calculus: Mathematics of Relationships a) marginal costs and profits b) second and third derivatives c) diminishing return relationships d) elasticity e) composition of functions: chain rule 8. Multi-Variable Calculus a) Multi-variable functions: high dimensional relationships b) Differential Calculus in higher dimensions: the partial derivative c) Multi-variable linear functions: the partial slope d) Multi-variable Log-Linear Functions: the partial elasticity e) Optimization of multi-variable functions 9. Integral Calculus a) Finding the anti-derivative: indefinite integrals of linear, power, exponential and logarithmic functions b) Connecting the integral to area under a curve: the fundamental theorem of calculus c) Application of Integral: calculating total amounts given marginal rates. .