Latin has declensions in the nouns;
vita (as a subject)
vitae (genitive: of life)
vitae (dative: towards life)
vitam (accusative: life, as the object of a verb)
vita (ablative, by means of life)
vita (vocative, invocation towards life)
Usually 'vitae' is after curriculum (sing.) or curricula (plural) with the meaning
of genitive case (of life).