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Midterm 2 debrief

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

Sample Quiz 9 for feedback before the exam.

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Sample Quiz 8 for feedback

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 Homework Problems: #382 and 385 from Section 4.8 (L'Hopital's Rule)

Worked examples: #382 and #385 from section 4.8 of OpenStax Calcuus 1 (on L'Hopital's Rule)

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Recitation 5: Prep for Midterm 1

(fixed #6)

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Worksheet: Final Exam Review

Worksheet: Final Exam Review. With commentary. And a bonus Newtons's Method problem.

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Worksheet: The Definite Integral

Worksheet: The Definite Integral

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Worksheet: More Practice on L'Hôpital's Rule

Worksheet: More Practice on L'Hôpital's Rule

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Worksheet: L'Hôpital's Rule

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Worksheet: Limits at Infinity and Sophisticated Graphing (Day 2)

Worksheet: Limits at Infinity, Horizontal Asymptotes, and Sophisticated Graphing (Day 2)

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Worksheet: Limits at Infinity and Horizontal Asymptotes (day 1)

Worksheet: Limits at Infinity and Horizontal Asymptotes, and sophisticated graphing (day 1)

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Worksheet: Derivatives and the Shape of a Graph (Day 2)

Worksheet: Derivatives and the Shape of a Graph, using the second derivative test

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Worksheet: Derivatives of Exponentials and Logarithms, day 1

Worksheet on derivatives of exponentials and logarithms, focusing on exponential functions

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Fall 2023 Math F251X Quiz 4 solutions

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Intro Video: Derivatives of Sine and Cosine

Intro Video: Proving that the derivative of sin(x) is cos(x) and that the derivative of cos(x) is -sin(x).

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Intro Video: The Squeeze Theorem

Short video on the Squeeze Theorem

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