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Ullman First Year Calculus

Ullman First Year Calculus

@FirstYearCalculus

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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)

8 months ago

3:16

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

8 months ago

17:30

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

8 months ago

7:41

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

8 months ago

8:23

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

8 months ago

7:03

Area 1 by Subtraction

8 months ago

5:26

Area 4 Three Points

8 months ago

0:37

8 months ago

11:29

Area 7 Favorite Shape

8 months ago

6:37

8 months ago

5:21

Area 3 Find Intersection

8 months ago

7:08

Area 2 Height of Rectangle

8 months ago

6:36

Area 6 Integral Two Ways

8 months ago

5:27

Shells revised - shell 4 - in y direction

8 months ago

3:04

Derivative rules - Equation of normal line

8 months ago

2:51

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

8 months ago

6:17

Derivative rules - second and higher derivatives

8 months ago

8:50

Derivative rules - Examples finding compound derivatives

8 months ago

13:22

Derivative rules - quotient, exponential, trig, log

8 months ago

2:06

Derivative rules - Solve equation using f and its second derivative

8 months ago

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