Ullman First Year Calculus

Ullman First Year Calculus

@FirstYearCalculus

These lectures are based on the curriculum for Math 151 and 152 at Rutgers University

Videos Playlists

4:09

Area and finite sums - Area under a rate of change function (explanation)

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3:16

Area and finite sums - closed forms for sum of the first n integers, squares, and cubes

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17:30

Area and finite sums - Area approximations, upper, lower, right, and left sums

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7:41

Area and finite sums - Average value of sin x on 0 to pi

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8:23

Area and finite sums - Area of 5 minus x squared on interval -1 to 2, upper and lower sums

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7:03

Area 1 by Subtraction

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5:26

Area 4 Three Points

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0:37

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11:29

Area 7 Favorite Shape

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6:37

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5:21

Area 3 Find Intersection

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7:08

Area 2 Height of Rectangle

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6:36

Area 6 Integral Two Ways

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5:27

Shells revised - shell 4 - in y direction

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3:04

Derivative rules - Equation of normal line

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2:51

Derivative rules - Use definition of derivative and derivative rules to find limit

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6:17

Derivative rules - second and higher derivatives

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8:50

Derivative rules - Examples finding compound derivatives

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13:22

Derivative rules - quotient, exponential, trig, log

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2:06

Derivative rules - Solve equation using f and its second derivative

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14:01

Applied Optimization - Rectangle inscribed in parabola

2 years ago

10:40

Applied Optimization - Picture frame

2 years ago

11:19

Applied Optimization - Where to build new road

2 years ago

8:47

Applied Optimization - Farmer problem

2 years ago

7:40

Applied Optimization - Open top box

2 years ago

5:14

Applied Optimization - Introduction

2 years ago

6:24

Applied Optimization - Number problem

2 years ago

8:28

Antiderivatives - Linearity rule and more antiderivative examples

2 years ago

6:00

Antiderivatives - Antiderivatives and indefinite integrals

2 years ago

4:28

Antiderivatives - Initial value problem intro and f prime equal cos x example

2 years ago