You Can Learn Calculus 1 in One Video (Full Course)
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5 سال پیش
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This is a complete College
This is a complete College Level Calculus 1 Course. See below for links to the sections in this video.
If you enjoyed this video please share it and consider subscribing for more content:
https://youtube.com/user/themathsorce...
For a more in depth course with assignments, check out my Udemy course here: https://www.udemy.com/course/calculus...
For many more examples check out my Calculus 1 playlist here:
Calculus 1
Suggestions for Books
Calculus by James Stewart: https://amzn.to/2oJdsyM
Calculus by Ron Larson: https://amzn.to/2oDmpJO
(if you purchase the books using these links I will make a small percentage)
*******Watch in HIGH QUALITY for best results******
SECTIONS
1) Introduction to Limits
2) Computing Limits from a Graph 5:38
3) Computing Basic Limits by plugging in numbers and factoring 8:37
4) Limit using the Difference of Cubes Formula 1 12:34
5) Limit with Absolute Value 14:53
6) Limit by Rationalizing 16:29
7) Limit of a Piecewise Function 19:34
8) Trig Function Limit Example 1 21:37
9) Trig Function Limit Example 2 22:38
10) Trig Function Limit Example 3 23:41
11) Continuity 25:35
12) Removable and Nonremovable Discontinuities 34:06
13) Intermediate Value Theorem 42:42
14) Infinite Limits 49:43
15) Vertical Asymptotes 57:33
16) Derivative (Full Derivation and Explanation) 1:04:11
17) Definition of the Derivative Example 1:12:10
18) Derivative Formulas 1:15:39
19) More Derivative Formulas 1:23:11
20) Product Rule 1:26:59
21) Quotient Rule 1:30:26
22) Chain Rule 1:34:10
23) Average and Instantaneous Rate of Change (Full Derivation) 1:39:52
24) Average and Instantaneous Rate of Change (Example) 1:47:37
25) Position, Velocity, Acceleration, and Speed (Full Derivation) 1:51:42
26) Position, Velocity, Acceleration, and Speed (Example) 1:59:36
27) Implicit versus Explicit Differentiation 2:09:25
28) Related Rates 2:14:14
29) Critical Numbers 2:18:46
30) Extreme Value Theorem 2:28:36
31) Rolle's Theorem 2:34:50
32) The Mean Value Theorem 2:41:20
33) Increasing and Decreasing Functions using the First Derivative 2:48:13
34) The First Derivative Test 2:53:28
35) Concavity, Inflection Points, and the Second Derivative 3:00:53
36) The Second Derivative Test for Relative Extrema 3:10:06
37) Limits at Infinity 3:14:26
38) Newton's Method 3:17:16
39) Differentials: Deltay and dy 3:21:39
40) Indefinite Integration (theory) 3:24:11
41) Indefinite Integration (formulas) 3:34:52
41) Integral Example 3:41:54
42) Integral with u substitution Example 1 3:43:21
43) Integral with u substitution Example 2 3:45:31
44) Integral with u substitution Example 3 3:47:49
45) Summation Formulas 3:49:38
46) Definite Integral (Complete Construction via Riemann Sums) 3:58:04
47) Definite Integral using Limit Definition Example 4:10:16
48) Fundamental Theorem of Calculus 4:18:18
49) Definite Integral with u substitution 4:25:47
50) Mean Value Theorem for Integrals and Average Value of a Function 4:28:05
51) Extended Fundamental Theorem of Calculus (Better than 2nd FTC) 4:36:16
52) Simpson's Rule 4:44:59 error here: forgot to cube the (3/2) here at the end, otherwise ok!
53) The Natural Logarithm ln(x) Definition and Derivative 4:50:25
54) Integral formulas for 1/x, tan(x), cot(x), csc(x), sec(x), csc(x) 4:56:30
55) Derivative of e^x and it's Proof 5:02:19
56) Derivatives and Integrals for Bases other than e 5:08:33
57) Integration Example 1 5:15:37
58) Integration Example 2 5:17:16
59) Derivative Example 1 5:19:15
60) Derivative Example 2 5:20:32
Please leave any comments or questions in the comment section below. Thank you:)
If you enjoyed this video please share it and consider subscribing for more content:
https://youtube.com/user/themathsorce...
For a more in depth course with assignments, check out my Udemy course here: https://www.udemy.com/course/calculus...
For many more examples check out my Calculus 1 playlist here:
Calculus 1
Suggestions for Books
Calculus by James Stewart: https://amzn.to/2oJdsyM
Calculus by Ron Larson: https://amzn.to/2oDmpJO
(if you purchase the books using these links I will make a small percentage)
*******Watch in HIGH QUALITY for best results******
SECTIONS
1) Introduction to Limits
2) Computing Limits from a Graph 5:38
3) Computing Basic Limits by plugging in numbers and factoring 8:37
4) Limit using the Difference of Cubes Formula 1 12:34
5) Limit with Absolute Value 14:53
6) Limit by Rationalizing 16:29
7) Limit of a Piecewise Function 19:34
8) Trig Function Limit Example 1 21:37
9) Trig Function Limit Example 2 22:38
10) Trig Function Limit Example 3 23:41
11) Continuity 25:35
12) Removable and Nonremovable Discontinuities 34:06
13) Intermediate Value Theorem 42:42
14) Infinite Limits 49:43
15) Vertical Asymptotes 57:33
16) Derivative (Full Derivation and Explanation) 1:04:11
17) Definition of the Derivative Example 1:12:10
18) Derivative Formulas 1:15:39
19) More Derivative Formulas 1:23:11
20) Product Rule 1:26:59
21) Quotient Rule 1:30:26
22) Chain Rule 1:34:10
23) Average and Instantaneous Rate of Change (Full Derivation) 1:39:52
24) Average and Instantaneous Rate of Change (Example) 1:47:37
25) Position, Velocity, Acceleration, and Speed (Full Derivation) 1:51:42
26) Position, Velocity, Acceleration, and Speed (Example) 1:59:36
27) Implicit versus Explicit Differentiation 2:09:25
28) Related Rates 2:14:14
29) Critical Numbers 2:18:46
30) Extreme Value Theorem 2:28:36
31) Rolle's Theorem 2:34:50
32) The Mean Value Theorem 2:41:20
33) Increasing and Decreasing Functions using the First Derivative 2:48:13
34) The First Derivative Test 2:53:28
35) Concavity, Inflection Points, and the Second Derivative 3:00:53
36) The Second Derivative Test for Relative Extrema 3:10:06
37) Limits at Infinity 3:14:26
38) Newton's Method 3:17:16
39) Differentials: Deltay and dy 3:21:39
40) Indefinite Integration (theory) 3:24:11
41) Indefinite Integration (formulas) 3:34:52
41) Integral Example 3:41:54
42) Integral with u substitution Example 1 3:43:21
43) Integral with u substitution Example 2 3:45:31
44) Integral with u substitution Example 3 3:47:49
45) Summation Formulas 3:49:38
46) Definite Integral (Complete Construction via Riemann Sums) 3:58:04
47) Definite Integral using Limit Definition Example 4:10:16
48) Fundamental Theorem of Calculus 4:18:18
49) Definite Integral with u substitution 4:25:47
50) Mean Value Theorem for Integrals and Average Value of a Function 4:28:05
51) Extended Fundamental Theorem of Calculus (Better than 2nd FTC) 4:36:16
52) Simpson's Rule 4:44:59 error here: forgot to cube the (3/2) here at the end, otherwise ok!
53) The Natural Logarithm ln(x) Definition and Derivative 4:50:25
54) Integral formulas for 1/x, tan(x), cot(x), csc(x), sec(x), csc(x) 4:56:30
55) Derivative of e^x and it's Proof 5:02:19
56) Derivatives and Integrals for Bases other than e 5:08:33
57) Integration Example 1 5:15:37
58) Integration Example 2 5:17:16
59) Derivative Example 1 5:19:15
60) Derivative Example 2 5:20:32
Please leave any comments or questions in the comment section below. Thank you:)
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