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Ullman First Year Calculus

Ullman First Year Calculus

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

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Area and finite sums - Area under a rate of change function (explanation) 4:09
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Area and finite sums - Area under a rate of change function (explanation)

Ullman First Year Calculus
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Area and finite sums - closed forms for sum of the first n integers, squares, and cubes 3:16
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Area and finite sums - closed forms for sum of the first n integers, squares, and cubes

Ullman First Year Calculus
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Area and finite sums - Area approximations, upper, lower, right, and left sums 17:30
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Area and finite sums - Area approximations, upper, lower, right, and left sums

Ullman First Year Calculus
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Area and finite sums - Average value of sin x on 0 to pi 7:41
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Area and finite sums - Average value of sin x on 0 to pi

Ullman First Year Calculus
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Area and finite sums - Area of 5 minus x squared on interval -1 to 2, upper and lower sums 8:23
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Area and finite sums - Area of 5 minus x squared on interval -1 to 2, upper and lower sums

Ullman First Year Calculus
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Area 1 by Subtraction 7:03
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Area 1 by Subtraction

Ullman First Year Calculus
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Area 4 Three Points 5:26
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Area 4 Three Points

Ullman First Year Calculus
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Area 0 Intro 0:37
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Area 0 Intro

Ullman First Year Calculus
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Area 7 Favorite Shape 11:29
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Area 7 Favorite Shape

Ullman First Year Calculus
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Area 5 in y 6:37
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Area 5 in y

Ullman First Year Calculus
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Area 3 Find Intersection 5:21
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Area 3 Find Intersection

Ullman First Year Calculus
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Area 2 Height of Rectangle 7:08
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Area 2 Height of Rectangle

Ullman First Year Calculus
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Area 6 Integral Two Ways 6:36
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Area 6 Integral Two Ways

Ullman First Year Calculus
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Shells revised - shell 4 - in y direction 5:27
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Shells revised - shell 4 - in y direction

Ullman First Year Calculus
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Derivative rules - Equation of normal line 3:04
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Derivative rules - Equation of normal line

Ullman First Year Calculus
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Derivative rules - Use definition of derivative and derivative rules to find limit 2:51
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Derivative rules - Use definition of derivative and derivative rules to find limit

Ullman First Year Calculus
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Derivative rules - second and higher derivatives 6:17
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Derivative rules - second and higher derivatives

Ullman First Year Calculus
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Derivative rules - Examples finding compound derivatives 8:50
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Derivative rules - Examples finding compound derivatives

Ullman First Year Calculus
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Derivative rules - quotient, exponential, trig, log 13:22
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Derivative rules - quotient, exponential, trig, log

Ullman First Year Calculus
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Derivative rules - Solve equation using f and its second derivative 2:06
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Derivative rules - Solve equation using f and its second derivative

Ullman First Year Calculus
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Applied Optimization - Rectangle inscribed in parabola 14:01
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Applied Optimization - Rectangle inscribed in parabola

Ullman First Year Calculus
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Applied Optimization - Picture frame 10:40
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Applied Optimization - Picture frame

Ullman First Year Calculus
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Applied Optimization - Where to build new road 11:19
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Applied Optimization - Where to build new road

Ullman First Year Calculus
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Applied Optimization - Farmer problem 8:47
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Applied Optimization - Farmer problem

Ullman First Year Calculus
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