Warren Shull

Calculus 1

Here are the lecture videos I most recently used for Calculus 1. I welcome your feedback about any of these materials, as well as suggestions for new materials to link to (or create). The links shown in red are of my own making.

"Arithmetic is to math as spelling is to journalism" - Emmanuel Schanzer

Introduction to derivatives: speedometers and odometers

Limit videos:

2.2 Limits introduction
2.2 graphical limits
2.2 Example 1
2.2 Example 2
2.2 Example 3
2.2 Example 4
2.2 Example 5
2.2 Examples 6 and 7 (one-sided limits)
2.2 Example 8
2.3 Example 1
2.3 Example 2
2.3 Example 3
2.3 Example 4
2.3 Example 5
2.3 Example 6
2.3 Examples 7-9
2.5 intro & Example 1
2.5 Example 2
2.5 Example 3
2.5 Example 4
2.5 continuity theorems
2.5 Example 5
2.5 trig continuity
2.5 Example 6
2.5 Example 7
2.5 Example 8
2.5 Example 9
2.5 Example 10 (IVT)
2.6 Introduction
2.6 Example 1
2.6 Example 2
2.6 Example 3
2.6 Example 4
2.6 Example 5
2.6 Example 6
2.6 Example 7
2.6 Example 8
2.6 Example 9
2.6 Example 10
2.6 Example 11
Derivatives visual introduction
|x| and x^3 and tangent lines
2.8 Example 2a
2.8 Example 2b
2.8 Example 3
2.8 Example 4
2.8 Example 5

Derivative videos:

Visualizing some basic derivative formulas
Derivatives when combining functions
What is e?
Straight line derivatives (2:18)
Power rule positive integers (4:44)
3.1 Example 1 (2:34)
3.1 Example 2 (4:24)
3.1 Example 3 (2:57)
3.1 Examples 4 and 5 (4:56)
3.1 Example 6 (3:18)
Exponential functions on Desmos (7:20)
3.1 Examples 8 and 9 (4:03)
Product rule introduction (5:49)
3.2 Example 1 (5:41)
3.2 Example 2 (3:33)
3.2 Example 3 (3:12)
Cosine derivative (6:14)
Chain Rule introduction (6:51)
3.4 Example 1 (5:54)
3.4 Example 2 (3:50)
3.4 Example 3 (1:54)
3.4 Example 4 (1:22)
3.4 Example 6 (2:13)
3.4 Example 7 (0:56)
Complicated chain rule problem (4:24)
Quotient Rule introduction (3:15)
3.2 Example 4 (1:33)
3.2 Example 5 (1:45)
Tangent derivative (1:56)
Implicit Differentiation (15:34)
3.5 Example 1a (5:22)
3.5 Example 1b (1:49)
3.5 Example 2a (4:25)
3.5 Example 2b (2:01)
3.5 Example 2c (5:27)
3.5 Example 3 (6:50)
Inverse derivative introduction (2:49)
Inverse sine derivative (7:22)
Exponential and log derivatives (4:36)
3.6 Example 1 (3:25)
3.6 Example 2 (0:49)
3.6 Example 3 (1:16)
3.6 Example 4 (1:08)
3.6 Example 5 (2:39)
3.6 Example 7 (3:27)
3.6 Example 8 (3:51)
3.9 Example 1 (5:28)
3.9 Example 2 (6:31)
3.9 Example 3 (8:14)
3.9 Example 4 (9:18)
3.9 Example 5 (7:15)

Derivative videos:

Max/min introduction (9:34)
4.1 Examples 1-4 (3:54)
4.1 Theorems (9:53)
4.1 Examples 5 and 6 (3:23)
4.1 Example 7 (4:41)
4.1 Example 8 (6:35)
4.1 Example 9 (15:11)
Why should L'Hopital's Rule make sense? (18:27 but skip first 10 minutes)
Why is L'Hopital's Rule so useful? (9:49 but can start at 4:30)
4.4 Example 1 (1:30)
4.4 Example 2 (1:58)
4.4 Example 3 (3:42)
4.4 Example 4 (5:49)
4.4 Example 5 (2:13)
4.4 Example 6 (6:23)
4.4 Example 7 (5:51)
4.4 Example 8 (5:20)
Indeterminant (competing) powers (9:21)
4.4 Example 10 (2:13)
4.4 Example 9 (7:26)
4.3 Example 1 (14:49)
4.3 Example 2 (1:25)
4.3 Example 3 (8:42)
4.3 Example 5 (6:51)
4.3 Example 6 (8:49)
4.3 Example 7 (13:11)
4.3 Example 8 (9:18)
4.5 Example 1 (12:49)
4.5 Example 2 (5:49)
4.5 Example 3 (6:22)
4.5 Example 4 (15:04)
4.5 Example 5 (8:06)
4.7 Example 1 (12:13)
4.7 Example 2 (9:49)
4.7 Example 3 (9:07)
4.7 Example 4 (13:48)
4.7 Example 5 (24:32)
4.7 Example 6 (9:17)

Antiderivatives and integrals:

Antiderivatives, part 1 (17:35)
Antiderivatives, part 2 (17:35)
Antiderivatives, part 3 (14:31)
5.1 Example 1 (9:44)
5.1 Example 2 (3:59)
5.1 notation (14:52)
5.1 Example 3 (5:06)
5.2 Example 1 (4:52)
5.2 Example 2 (6:43)
5.2 Example 3 (1:36)
5.2 Example 4 (1:24)
5.2 Example 5 (2:05)
Fundamental Theorem of Calculus (20:46)
u-substitution introduction (6:27)
5.5 Example 0 (2:46)
5.5 Example 1 (2:09)
5.5 Example 2 (1:35)
5.5 Example 3 (2:08)
5.5 Example 4 (1:12)
5.5 Example 5 (4:19)
5.5 Example 6 (3:22)