upward

from The American Heritage® Dictionary of the English Language, 5th Edition.

• adverb In, to, or toward a higher place, level, or position.
• adverb Toward a higher position in a hierarchy or on a socioeconomic scale.
• adverb Toward the head or upper parts.
• adverb Toward a higher amount, degree, or rank.
• adverb Toward a later time or age.
• adjective Directed toward a higher place or position.
• idiom (upward/upwards) More than; in excess of.

from The Century Dictionary.

• Toward a higher place; in an ascending course: opposed to downward.
• Toward heaven and God.
• With respect to the higher part; in the upper parts.
• Toward the source or origin: as, trace the stream upward.
• More: used indefinitely.
• On; onward.
• Directed or turned to a higher place; having an ascending direction, literally or figuratively.
• noun The top; the height.

from the GNU version of the Collaborative International Dictionary of English.

• noun obsolete The upper part; the top.
• adjective Directed toward a higher place.
• adverb In a direction from lower to higher; toward a higher place; in a course toward the source or origin; -- opposed to downward.
• adverb In the upper parts; above.
• adverb Yet more; indefinitely more; above; over.
• adverb more than; above.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• adverb In a direction from lower to higher; toward a higher place; in a course toward the source or origin; -- opposed to downward; as, to tend or roll upward.
• adverb In the upper parts; above.
• adverb Yet more; indefinitely more; above; over.
• adverb Directed toward a higher place; as, with upward eye; with upward course.
• noun obsolete The upper part; the top.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• adverb to a later time
• adjective directed up
• adverb spatially or metaphorically from a lower to a higher position
• adjective extending or moving toward a higher place