Test case is a descrption what data to be tested and what 
data to be inserted what are the actions to be done to 
check actual result against expected result
What are the actual inputs we will use? What are the 
expected results? is called test scrpit

Test Script: Is a short program written in a programming 
language used to test part of the functionality of the 
software system.
 a written set of steps that should be performed manually 
can also be called a test script,however this is more 
correctly called a test case.

Both  are same but terminology varies according to 
Context.Test case term is used in manual testing where as 
test script(test case)is generated by an automation tool.

Test Cases are concerned with manual testing.
Test Scripts are concerned with automation testing.