MA 16200
Calculus II
Fall 2023
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Lesson 1 13.1 Vectors and 13.2 Vectors in Three Dimensions (part 1)
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Lesson 2 13.2 Vectors in Three Dimensions (part 2)
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Lesson 3 13.3 Dot Product
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Lesson 4 13.4 Cross Product
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Lesson 5 6.2 Region Between Curves
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Lesson 6 6.3 Volumes by Slicing
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Lesson 7 6.4 Volumes by Shells
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Lesson 8 6.5+6.6 Length and Surface Area
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Lesson 9 6.7 Physical Applications (part 1)
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Lesson 10 6.7 Physical Applications (part 2)
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Lesson 11 8.2 Integration by Parts
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Lesson 12 8.3 Trig Integrals (part 1)
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Lesson 13 8.3 Trig Integrals (part 2)
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Lesson 14 8.4 Trig Substitution (part 1)
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Lesson 15 8.4 Trig Substitution (part 2)
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Lesson 16 8.5 Partial Fractions (part 1)
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Lesson 17 8.5 Partial Fractions (part 2)
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Lesson 18 8.9 Improper Integrals
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Lesson 19 10.1 Sequences and Series: An Overview
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Lesson 20 10.2 Sequences
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Lesson 21 10.3 Infinite Series
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Lesson 22 10.4 The Divergence and Integral Tests
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Lesson 23 10.5 Comparison Tests
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Lesson 24 10.6 Alternating Series
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Lesson 25 10.7 Ratio and Root Tests
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Lesson 26 10.8 Choosing a Convergent Test
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Lesson 27 11.1 Approximating Functions Using Polynomials (part 1)
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Lesson 28 11.1 Approximating Functions Using Polynomials (part 2)
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Lesson 29 11.2 Properties of Power Series (part 1)
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Lesson 30 11.2 Properties of Power Series (part 2)
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Lesson 31 11.3 Taylor Series
Note: Due to hardware issues, only the second half was recorded. See Fall 2022 video for the first half.
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Lesson 32 11.4 Working with Taylor Series
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Special Feature Special Mario Kart "lecture"
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Lesson 33 12.2 Polar Coordinates
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Lesson 34 12.2 Polar Coordinates (part 2)
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Lesson 35 12.3 Areas and Lengths in Polar Coordinates
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Exam 1 Review
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Exam 2 Review
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Exam 3 Review
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Final Exam Review, Part 1
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Final Exam Review, Part 2
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Final Exam Review, Part 3