First of all, depreciation is used for tangible assets while amortization is used for intangible assets such as patents or licences to produce a specific product for a specific period of time.
If you have a tangible asset that has useful economic life of 5 years while you bought it for $2,000 your depreciation will be $2,000/5 =400 per year. After the 5 years, you will have fully depreciated the asset and it will appear as having $nil value in your accounts.
In a similar way, the amortization is calculated for intangible assets that have definite economic life.