F A L L 2 0 2 0

MAT136H1

S T U D Y G U I D E

UNIVERSITYOFTORONTOST.GEORGE

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This Study Guide was made using:

OneClass Booster Class

Calculus 2

oneclass.com/courses/mathematics/calculus-2.en.html

Contents

1 Apply Euler's Method

Theory

Quiz

2 Solve Problems Relating To Parametric Curves

Theory

Quiz

3 Analyze Phase Planes

Theory

Quiz

4 Solve Problems Relating To Logistic Models

Theory

Quiz

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5 Solve Problems Relating To Intersection Of Polar Curves

Theory

Quiz

6 Solve Problems Relating To Sequences

Theory

Quiz

7 Solve Problems Relating To Area In Polar Coordinates

Theory

Quiz

8 Find The Telescopic Sum

Theory

Quiz

9 Solve Problems Relating To Partial Sums

Theory

Quiz

10 Solve Problems Relating To Taylor And Maclaurin Series

Theory

Quiz

11 Solve Problems Relating To Power Series

Theory

Quiz

12 Solve Problems Relating To Geometric Series

Theory

Quiz

13 Solve Problems Relating To Polar Coordinates

Theory

Quiz

14 Solve Problems Relating To First-Order Differential Equations

Theory

Quiz

15 Solve Problems Relating To The Integral Test

Theory

Quiz

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16 Solve Problems Relating To Comparison Tests

Theory

Quiz

17 Solve Problems Relating To Arc Length

Theory

Quiz

18 Evaluate Improper Integrals By Cases

Theory

Quiz

19 Solve Problems Relating To Conditional Convergence

Theory

Quiz

20 Sketch Slope Fields

Theory

Quiz

21 Solve Problems Relating To Polar Coordinate Equations

Theory

Quiz

22 Find The Area Under The Curve

Theory

Quiz

23 Find The Volume Of A Solid Of Revolution

Theory

Quiz

24 Use Integration To Find The Work Done

Theory

Quiz

25 Apply Integration Techniques

Theory

Quiz

26 Solve Problems Relating To Absolute Convergence

Theory

Quiz

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27 Solve Problems Relating To The Alternating Series Estimation Theorem

Theory

Quiz

28 Solve Problems Relating To Convergence And Divergence

Theory

Quiz

29 Use Numerical Integration

Theory

Quiz

30 Solve Problems Relating To The Nth Term Test

Theory

Quiz

31 Solve Problems Relating To The P-Series Test

Theory

Quiz

32 Quiz Solutions

Skill 1: Apply Euler's method

Skill 2: Solve problems relating to parametric curves

Skill 3: Analyze phase planes

Skill 4: Solve problems relating to logistic models

Skill 5: Solve problems relating to intersection of polar curves

Skill 6: Solve problems relating to sequences

Skill 7: Solve problems relating to area in polar coordinates

Skill 8: Find the telescopic sum

Skill 9: Solve problems relating to partial sums

Skill 10: Solve problems relating to Taylor and Maclaurin series

Skill 11: Solve problems relating to power series

Skill 12: Solve problems relating to geometric series

Skill 13: Solve problems relating to polar coordinates

Skill 14: Solve problems relating to first-order differential equations

Skill 15: Solve problems relating to the Integral Test

Skill 16: Solve problems relating to comparison tests

Skill 17: Solve problems relating to arc length

Skill 18: Evaluate improper integrals by cases

Skill 19: Solve problems relating to conditional convergence

Skill 20: Sketch slope fields

Skill 21: Solve problems relating to polar coordinate equations

Skill 22: Find the area under the curve

Skill 23: Find the volume of a solid of revolution

Skill 24: Use integration to find the work done

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Skill 25: Apply integration techniques

Skill 26: Solve problems relating to absolute convergence

Skill 27: Solve problems relating to the Alternating Series Estimation Theorem

Skill 28: Solve problems relating to convergence and divergence

Skill 29: Use numerical integration

Skill 30: Solve problems relating to the Nth Term Test

Skill 31: Solve problems relating to the P-Series Test