Calculus I
50 videos • 634 views • by JaberTime
1
Limits Part I. Covering 10 examples and the squeeze Theorem.
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2
Limits Part II. Infinite Limits. See the Description below for details.
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3
Limits Part III. Limits at Infinity. See the Description below for details.
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4
Limits Part V. Precise Definition of Continuity.
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5
Limits Part IV. Continuity.
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6
Introduction to Derivative.
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7
The Derivative as a Function.
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8
Rules of Differentiation
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9
The Product and the Quotient Rules.
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10
The Product and the Quotient Rules.
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11
Derivatives of Trigonometric Functions.
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12
Derivatives as Rates of Change
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13
Average Cost and Marginal Cost.
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14
Related Rates
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15
Maxima and Minima.
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16
What Derivatives Tell Us.
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17
The Mean Value Theorem "MVT".
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18
Graphing Functions using Derivatives.
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19
Optimization Problems.
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20
Linear Approximation and Differentials.
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21
L'hopital's Rule
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22
Definite Integral and General Riemann Sum.
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23
Riemann Sums and Approximating Area under Curves.
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24
Fundamental Theorem of Calculus Part I and Part II With Examples.
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25
Substitution Rule for Indefinite and Definite Integrals.
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26
Integrals of Even and Odd Functions and the Function Average.
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27
Volume Using a Washer Three Examples in one.
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28
Find the Volume Using Cylindrical Shells.
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29
First Order Linear Differential Equation Example.
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30
How much work is required to pump all the water from a circular swimming pool over the side?
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31
Evaluate the Limit, or state that it does not exist.
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32
Limit sin 3x over x
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33
Limit involving infinity
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34
The Quotient Rule Proof in Calculus.
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35
Epsilon and delta Explained with an Example in Calculus.
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36
Differentiate the following y = e^(cosx) + cos(e^x)
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37
Differentiate y = 3^ (x ln x)
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38
Differentiate y = ln ( cosh (3x)).
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39
Differentiate f(x) = x^2 ln(2x+1).
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40
Differentiate y = x ^(SQR x)
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41
Implicit Differentiation. Find dy/ dx for 2x^3+x^2y-xy^3=2.
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42
Find the limit as x Approaches 0 of (e^4x -1-4x)/x^2. L'Hospital's Rule_ Intermediate form (0/0).
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43
Find the limit as x approaches " - infinity". L'Hospital's Rule " infinity * zero".
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44
A man 6-ft tall walks away from a streetlight mounted on a 15-ft tall pole at a rate of 5-ft/s.
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45
Find the linearization of the function f(x) = SQR(x+5) at a = 4 and use it to approximate SQR (3.8).
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46
The Mean Value Theorem.
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47
Curve Sketching. Inc. & Dec. Concave Up. Concave Down, Abs Max and Abs Min. The Extreme Value Th.
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48
Optimization. What is the Maximum Vertical Distance between y=x+2 and y=x^2 for x in [-1, 2].
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49
Riemann Sum. Right Hand, Left Hand and Midpoint Rule.
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50
Evaluate the following Integrals
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