Hi Sir. Each of those words can be used in different ways. First of all, in terms of names for denominations, 'Lutheran' was, and is, used to denote various Protestant church groups that were historically linked with Martin Luther (1483-1546), directly or indictly.
Some of the Protestant denominations especially influenced by the Reformation in Geneva rather than Germany are known as Reformed Churches and are sometimes referred to as Calvinist, in contradistinction to Lutheran.
But doctrinally, Calvinism refers also to a number of things; these include the ideas of John Calvin (1509-1564), and also the ideas of those who purported to be his followers, including in The Netherlands and Scotland.
Calvinism also refers to explanations of Biblical doctrine in contrast with Arminianism; Calvinism tends to stress the sovereignty of God's grace and the certainty of faith; Arminianism tends to stress what is seen as the human agent of faith, sometimes at the expense of grace. Interestingly, Martin Luther wrote a work called 'The Bondage of the Will', which in some ways generally resembles the teaching of Calvin. It is also an historical fact that, despite the nature of the work 'The Bondage of the Will', generations of Lutherans have denied that they are Calvinist, sometimes vehemently so.
While in terms of Calvinism and Arminianism there has been much historical reference to doctrinal discussions in The Netherlands in the 17th century, yet there was also a background of Dutch politics, sometimes quite violent, between different factions within the Dutch Provincial States and the States General. There is also a Remonstrant church which survived since this period, and which has historically claimed to be specifically Arminian in doctrine.
Some avowed Calvinists and Lutherans have tried to use Medieval Scholastic methods to systematize their defence of Biblical doctrine; this has sometimes led them to defend their conception of logical argument vehemently, sometimes at the expense of Scripture itself; but this provokes the question of just how far some professed Protestants have really broken with ways of doing theology which date back to times when the Roman Catholic church was dominant in the Middle Ages.
Some professedly Lutheran and Reformed or Presbyterian churches also maintain the idea, strong in the Middle Ages, that the state and the church should be linked, and that an alliance between the two gives their church precedence over church groups which do not have this link, in theory or in practice; this again provokes the question of just how far they have broken with Medieval thinking in this respect.
Care is needed when trying to use these terms in application to specific ideas, people and groups; and also in interpeting the way these various terms are apparently being used by other people, whether loosely or in a fairly specific way. These terms are thus be used and applied in veried ways, sometimes with polemic intent.