Reading:

Greek Historians from M. I. Finley's Portable Greek Historians (Penguin):

Biblical Historiography from any edition of the Hebrew Bible (Old Testament) and New Testament. Bible. E-texts and lots more in Torrey Seland's [Volda University, Norway]  Resource Pages): Genesis (J document ca. 950BCE? D additions ca. 600, P 400 or after), I and II Books of Samuel (Early Source ca. 950), Ezra and Nehemiah (ca. 400), Daniel (ca. 164), Gospel of Mark (ca. 60 CE), Acts of the Apostles (before 100 CE)

Roman Historians from Ronald Mellor's The Historians of Ancient Rome (Routledge):

Biography. Plutarch, Ploutarchos *plou/tarxos "Wealth rules" of Chaeronea (and a priest at Delphi) c. 45-125 CE, Lives. Selections from the Modern Library ed., volume II. We can consider also whether a Gospel is in some way a Life, and also look at C. Suetonius Tranquillus' Life of C. Caligula, Tacitus' Life of Agricola and Augustus' Res Gestae (Achievements) of the Deified Augustus, all from Mellor's anthology.

Sather Lectures on historiography by the uniquely qualified Arnaldo Momigliano (1908-87), The Classical Foundations of Modern Historiography, Univ. of Cal. Press 1990 (lectures delivered 1961-62: 1992 appreciation by Donald Kagan). Lectures on "Persian, Greek and Jewish Historiography", "Herodotean and Thucydidean Tradition", "Antiquarian Research", "Fabius Pictor and National History", "Tacitus and the Tacitist Tradition" and "The Rise of Ecclesiastical History".

Other materials as you find them in the Library or on the Internet.