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Overview of how to solve the problems on the Spring 2024 midterm 2. (Not full solutions, just discussion of solution techniques and issues to be aware of -- full solutions available separately.)
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Sample Quiz 9 for feedback before the exam.
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Here's a version of Quiz 8 that looks remarkably like the actual Quiz 8 from Spring 2024, worked out in detail so you can get some feedback before the midterm.
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Worked examples: #382 and #385 from section 4.8 of OpenStax Calcuus 1 (on L'Hopital's Rule)
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Worksheet: Final Exam Review. With commentary. And a bonus Newtons's Method problem.
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Worksheet: More Practice on L'Hôpital's Rule
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Worksheet: Limits at Infinity, Horizontal Asymptotes, and Sophisticated Graphing (Day 2)
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Worksheet: Limits at Infinity and Horizontal Asymptotes, and sophisticated graphing (day 1)
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Worksheet: Maximums and Minimums
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Worksheet: Continuity and the intermediate value theorem
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Worksheet on finding limits numerically and graphically
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Recitation activity for Math F251X: preparation for Midterm 2. Related rates, linearization, optimization, beginnings of integration, L'Hôpital's rule.
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Recitation Video for Math F251X: practice with using L'Hopital's rule (or not!) to compute certain limits, and thinking about the relationship between derivatives and antiderivatives, plus…
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Recitation video for Math F251X Calculus 1 covering finding critical points and thinking about horizontal and vertical asymptotes.
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