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Example:

I would like to close with just a few remarks on the question, "Why study classical mythology? Why study the marginally incoherent tales of some people who have been dead going on three thousand years, now. What does this have to do with me?" I have a lot of reason. You'll be subjected to them over the balance of the semester. But the image I keep coming back to: If you can imagine. You've all applied to Southwest Missouri State University. You've all gotten paperwork from Southwest Missouri State University. You can all probably, by now, close your eyes and see the official logo of Southwest Missouri State University, which is the portico—the front porch if you will—of Carrington Hall.

What exactly does that mean? I looked up the word balance in the dictionary, but couldn't find the meaning that would fit the semantics exactly.

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    balance - "12) (US) whatever is left over; remainder" – user3169 Nov 7 '15 at 4:25
  • Doesn't sound like it at all. The course has not even started yet. It's only the introduction part where the lecturer says that. – Michael Rybkin Nov 7 '15 at 4:35
  • Did the semester already start? – user3169 Nov 7 '15 at 5:00
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    @CookieMonster: If one is even in a lecture, the course has started enough for "balance" to take on that meaning. 0.01% is still "partially finished". – Nathan Tuggy Nov 7 '15 at 5:00
  • A nice expression! I've never noticed it before. – CowperKettle Nov 7 '15 at 6:20
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The phrase "(over) the balance of [time period]" is used quite widely in journalism, judging by a Google News search.

One important factor to watch for precious metals is the Federal Reserve over the balance of the year. (over the remaining portion of the year)

Interestingly, it is also used without over:

The dollar's strength will have an impact on our performance for the balance of the year and could impact 2016 as well. (for the rest of the year)

It's not only in financial and business news that the expression is found. Here's a sports news report:

After seeing limited action while playing in 21 games his first two seasons, he was third on the team in rushing in 2013. Off to a strong start in 2014, he suffered an injury that sidelined him and allowed him to sit out the balance of the year as a redshirt and gain an added season of eligibility. (source)

Here's a weather forecast:

“The predictions for the balance of the month do not look good,” he said. “I can tell you that we’re not seeing any appreciable rainfall for the balance of the month at this point in time.” (source)

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