Class Day 1: Monday

PRE-WORK:  Review for Exam IV Part I

• Here is the review for the graphing portion of the exam and KEY.

  • #7i, You might expect the solution to be at x=1, since that is where f' changes from increasing to decreasing, but, since we have a vertical tangent line, there is no solution.​

  • #11 h. should be -e/2 not -1/2.

  • #16, the inflection point should be at the x-coordinate -1/2 and not -2.

• Here are the practice Exams:

  • Fall 2019 practice exam and KEY.​

  • Fall 2022 practice exam and KEY.

2. IN-CLASS WORK: Review for Exam IV Part I

• We will review for Exam IV Part 1.

3. POST-WORK: none.  Study for the upcoming exam.

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Class Day 2:  Tuesday

1. PRE-WORK:  Exam IV Part I

• Here is the review for the graphing portion of the exam and KEY.

  • #7i, You might expect the solution to be at x=1, since that is where f' changes from increasing to decreasing, but, since we have a vertical tangent line, there is no solution.​

  • #11 h. should be -e/2 not -1/2.

  • #16, the inflection point should be at the x-coordinate -1/2 and not -2.

• Here are the practice Exams:

  • Fall 2019 practice exam and KEY.​

  • Fall 2022 practice exam and KEY.

2. IN-CLASS WORK: Exam IV Part I

• We will take our Exam IV Part I in class.

3. POST-WORK: none.  Go on to the next Pre-Work

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Class Day 4: Wednesday

1. PRE-WORK: Sec. 3.11 Related Rates

• Please complete these pre-notes for our Sec. 3.11 Related Rates class.​

  • Sec. 3.11 Introduction video.  (7 min)

    • Ignore comment about a snow day.​

  • Sec. 3.11 Example 2 video.  (9 min)

  • Sec. 3.11 Gravel Pile Example video.  (11 min)

  • Sec. 3.11 Cars diverging example video.  (5 min)

2.  IN-CLASS WORK:  Sec. 3.11 Related Rates

• We will use these notes for our Sec. 3.11 Related Rates class.

3. POST WORK​: Sec. 3.11 Related Rates

• Work pages 1-4 of the Unit IV Applications Exam Review.

• Sec. 3.11 Boat Approaching Dock video.  (9 min)

• Sec. 3.11 Water Trough #1 video.  (9 min)

• Work MML+ Sec. 3.11 Homework Due by the beginning of week 13.

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Class Day 4: Thursday

1.  PRE-WORK:  Sec. 4.5 Optimization

• Please complete these pre-notes for our Sec. 4.5 Optimization class.​

  • Sec. 4.5 The Second Derivative Test video.  (7 min)

  • Sec. 4.5 Intro to Optimization video. (3 min)

  • Sec. 4.5 First Example, Pens video.  (14 min)

  • Sec. 4.5 Oil Can Example video.  (20 min)

2.  IN-CLASS WORK:  Sec. 4.5 Optimization

• We will use these notes for our Sec. 4.5 Optimization class.

3.  POST WORK:  Sec. 4.5 Optimization

• Watch Sec. 4.5 Extra Examples video for the "Escape Math Camp Problem" (16 min)

  • For fun, a corresponding paper.​

• Work pages 5-7 of the Unit IV Applications Exam Review. 

• Work MML+ Sec. 4.5 Homework due by the middle of week 13.

• Optional video:  Optimizing an open top box video.  (29 min)

• Here is a video of MML Question 12 for this section.  (10 min)

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