Rates of Change
70 videos • 10,466 views • by Eddie Woo
1
CSMA/CD - Collision Procedure
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2
CSMA/CD Overview
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3
Introduction to Related Rates
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4
Related Rates - Balloon
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5
Related Rates - Inverted Cone
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6
Why Radians?
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7
Related Rates - Shadow
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8
Related Rates - Slipping Ladder
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9
Related Rates: Flying Plane
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10
Related Rates - Boat w/ Trig
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11
Account Management
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12
Assigning Rights: File Privileges
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13
Assigning Rights: Peripherals
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14
Related Rates: Police Car (Better Approach)
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15
Related Rates: Police Car (Flawed Approach)
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16
Related Rates: Police Car (Implicit)
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17
Related Rates: Unit Circle
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18
Primitives and Rates of Change (Example 1)
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19
Primitives and Rates of Change (Example 2)
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20
The Wine Glass (1 of 4): Pouring the Water
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21
The Wine Glass (2 of 4): Initial Observations
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22
The Wine Glass (3 of 4): Conclusions from Calculus [dh/dt in terms of height]
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23
The Wine Glass (4 of 4): Conclusions from Calculus [dh/dt in terms of time]
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24
Related Rates - The Leaking Trough
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25
Related Rates - The Railroad Intersection (1 of 2): Flawed Approach
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26
Related Rates - The Railroad Intersection (2 of 2): Better Approach
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27
Understanding Rates: Relationships Between Quantities
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28
Exam Problem: The Coin Shadow
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29
Mathematical Induction (2 of 3: Assumption step and Proving inequality)
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30
Rates of Change (1 of 3: Calculating Related Rates)
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31
Rates of Change (2 of 3: Using Volume, Area and other formulae and chain rule to find related rates)
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32
Rates of Change (3 of 3: Using Chain Rule to solve for the rate of change in area)
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33
Harder Rates of Change Question (1 of 2: Extrapolating information from question to find solution)
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34
Harder Rates of Change Question (2 of 2: Using Differentiation and Chain Rule to find solution)
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35
Rates of Change (2 of 4: Using a second diagram to find r in terms of h for a SA relation)
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36
Rates of Change (3 of 4: Using Chain Rule to find the change of height over time)
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37
Rates of Change (4 of 4: Integrating to find the height of the 'puddle')
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38
Exponential Growth and Decay (1 of 4: Representing growth in proportion to size of population)
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39
Exponential Growth and Decay (2 of 4: Satisfying the DE by integration/differentiation)
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40
Exponential Growth and Decay (3 of 4: Working through an introductory example of Exponential Growth)
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41
Exponential Growth and Decay (4 of 4: Working through Harder Exponential Growth Question)
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42
Modified Growth and Decay (1 of 2: Differences between modified and exponential growth and decay)
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43
Modified Growth and Decay (2 of 2: Solving an example of Modified Decay [of temperature])
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44
Modified Growth and Decay: Capped Population (Finding the Differential Equation for modified decay
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45
Straight Line Motion & Average Velocity (simple example)
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46
Acceleration as a Function of Velocity (1 of 2: Introductory example)
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47
Acceleration as a Function of Velocity (2 of 2: Simple resistance)
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48
Harder Motion (1 of 2: Finding the time it takes for Particle A to hit origin)
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49
Harder Related Rates (1 of 3: Finding the velocity of the car in terms of time and its acceleration)
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50
Harder Related Rates (2 of 3: Finding Displacement of car and truck and truck's velocity)
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51
Harder Related Rates (3 of 3: How far does the car have to be to overtake as quickly as possible)
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52
Related Rates of a Balloon (1 of 3: Describing the situation)
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53
Related Rates of a Balloon (2 of 3: Introducing the derivatives)
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54
Related Rates of a Balloon (3 of 3: Evaluating a rate of change)
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55
Related Rates of a Shrinking Cube
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56
Related Rates of Change: Overall Strategy
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57
Related Rates of Change - Slipping Ladder (1 of 2: Establishing the scenario)
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58
Related Rates of Change - Slipping Ladder (2 of 2: Working the equations)
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59
Related Rates of Change - Shifting Shadow (1 of 2: Understanding the problem)
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60
Related Rates of Change - Shifting Shadow (2 of 2: Manipulating the derivatives)
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61
Exponential Growth Rates (1 of 2: Instantaneous)
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62
Exponential Growth Rates (2 of 2: Average)
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63
Growth/Decay with Environmental Factors (1 of 2: Difference in equations)
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64
Growth/Decay with Environmental Factors (2 of 2: Example question)
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65
Growth & Decay - Saltwater/Freshwater Problem (1 of 3: Understanding the constants)
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66
Growth & Decay - Saltwater/Freshwater Problem (2 of 3: Applying calculus)
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67
Growth & Decay - Saltwater/Freshwater Problem (3 of 3: Interpreting the situation)
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68
Optimisation Problem with Interacting Rates (1 of 3: Assembling the information)
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69
Optimisation Problem with Interacting Rates (2 of 3: Creating the mathematical model)
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70
Optimisation Problem with Interacting Rates (3 of 3: The most efficient speed)
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