Exponents – properties, graphs of functions, applications

Exponents – properties, graphs of functions, applications

1. Logarithms – properties, graphs of functions, applications

   • Logarithmic models – Decibels, Richter scale
   • Linearization – exponential, logarithmic, power functions
     • Finding models of best fit
     • Inverse functions – properties, graphs
   • · Exponential decay models - Newton’s law of cooling, Half life, Deflation
     • · Arithmetic sequences, recursive formulas, explicit (closed) formulas
       • Calculator sequence mode: both u(n), seq(
         • Borrowing money – calculator programs to calculate payment amounts
   • Polar, rectangular, complex conversions
     • Complex number arithmetic – Demoivre’s theorem

2. Compound interest, effective annual yield

3. Exponential growth models

   • Population growth

4. Inflation