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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
VideosPlaylists
4:09
Area and finite sums - Area under a rate of change function (explanation)
1/28/2025
3:16
Area and finite sums - closed forms for sum of the first n integers, squares, and cubes
1/28/2025
17:30
Area and finite sums - Area approximations, upper, lower, right, and left sums
1/28/2025
7:41
Area and finite sums - Average value of sin x on 0 to pi
1/28/2025
8:23
Area and finite sums - Area of 5 minus x squared on interval -1 to 2, upper and lower sums
1/28/2025
7:03
Area 1 by Subtraction
1/28/2025
5:26
Area 4 Three Points
1/28/2025
0:37
Area 0 Intro
1/28/2025
11:29
Area 7 Favorite Shape
1/28/2025
6:37
Area 5 in y
1/28/2025
5:21
Area 3 Find Intersection
1/28/2025
7:08
Area 2 Height of Rectangle
1/28/2025
6:36
Area 6 Integral Two Ways
1/28/2025
5:27
Shells revised - shell 4 - in y direction
1/28/2025
3:04
Derivative rules - Equation of normal line
1/28/2025
2:51
Derivative rules - Use definition of derivative and derivative rules to find limit
1/28/2025
6:17
Derivative rules - second and higher derivatives
1/28/2025
8:50
Derivative rules - Examples finding compound derivatives
1/28/2025
13:22
Derivative rules - quotient, exponential, trig, log
1/28/2025
2:06
Derivative rules - Solve equation using f and its second derivative
1/28/2025
14:01
Applied Optimization - Rectangle inscribed in parabola
6/28/2023
10:40
Applied Optimization - Picture frame
6/28/2023
11:19
Applied Optimization - Where to build new road
6/28/2023
8:47
Applied Optimization - Farmer problem
6/28/2023
7:40
Applied Optimization - Open top box
6/28/2023
5:14
Applied Optimization - Introduction
6/28/2023
6:24
Applied Optimization - Number problem
6/28/2023
8:28
Antiderivatives - Linearity rule and more antiderivative examples
6/28/2023
6:00
Antiderivatives - Antiderivatives and indefinite integrals
6/28/2023
4:28
Antiderivatives - Initial value problem intro and f prime equal cos x example
6/28/2023