Calculus I: Midterm Review!

EIC Club information:
@eicualberta (Twitter and Instagram)

Welcome to the midterm review for Calculus I! In this video, I go over the entire content of what one should know for a typical calculus I midterm examination. Feel free to use the timestamps to skip to the questions you wish to go over!

The review session is based on when I took Calculus in university so it's based on that however, this should be usable by almost everyone.

Good luck to anyone who has exams!

00:00 - Introduction
03:16 - Question 1 (Domain)
10:08 - Question 2 (Domain and range)
20:20 - Question 3 (Inverse function at a point (Trick question) )
24:01 - Question 4 (Computing multiple trigonometric values)
26:50 - Question 5 (Limit questions)
48:16 - Question 6 (Induction of the sum of odd numbers)
51:59 - Question 7 (Induction involving trigonometry)
1:00:11 - Question 8 (Induction involving sequences)
1:09:56 - Question 9 (Continuity)
1:14:04 - Question 10 (Computing asymptotes)
1:26:27 - Question 11 (Intermediate value theorem for multiple roots)
1:32:44 - Question 12 (Intermediate value theorem to find a specific point)
1:36:36 - Question 13 (The definition of the derivative)
1:45:40 - Question 14 (The definition of the derivative at a point)
1:48:56 - Question 15 (Writing limits as derivatives)
1:51:21 - Question 16 (Equation of tangent line for a point not on the graph)
1:58:27 - Question 17 (Implicit differentiation)
2:03:19 - Question 18 (Tricky differentiation questions)
2:15:03 - Question 19 (Related rates involving equations of motion)
2:26:11 - Question 20 (Related rates question with Shadow + no numbers)

[andrewnelson]

this man is really carrying all of our grades on his back

[rahulvijay]

Thank you so much for this! now I don't have to search my notes finding out what to study!

[liderercan]

I'm taking my Calculus class 4th time wish I saw this channel before

[adamkp_]

you are the only reason I have hope of passing math100

[adamholowaychuk]

Saving me for midterms! Thanks cloudy!

[marekjanik]

I have made it! The whole review! 10/10

[biddybob]

All fun and games till you forget everything right before the exam starts.

[health....twalkers]

This was much needed. Thank you so much!

[MathforThought]

In the second part on question 18, I wrote the limit as a->a on the second line and limit as x->a on the 3rd line. Both of those should say the limit as a->0.

For question 8, for the increasing portion, I wrote 1<sqrt(5). That should be 1<sqrt(17). The rest of the proof is still valid.

[ginnisekhon]

why so less number of likes, show this guy some love

[EmivTR]

Everything was clear thanks for everything!

[ryosukuna]

At 1:38:41 We need to write -1 / square root of x or is it my bad?

[solomunallouche]

1:19:55 , when apporaching lim of 3 from right, why cant we drop the abs value of l x - 2 l, and write it as (x-2) ?

[rahulvijay]

umm, I have a question, for the last related rates problem (question 20), how did y/3.5 become 1/3.5 and how did (y-x)/h become 1/h (dy/dt - dx/dt)?

[sayiderol]

Hocam çok sağ olun
son gün tekrarı,
kaç aldığımı yazarım buraya

[rijulranjan]

Hey man, awesome video! I just wanted to say, could you write in a color that’s brighter than blue? It’s bit hard to see with the black background

[SP-ghro]

How am I supposed to do all this in an hour and a half??? 😭😭😭

[nicholassemmens]

47:48 Even though we are doing separate cases from the right and left, because the x value is still positive, doesn't that mean that the absolute value case will remain positive for both left and right limit?

[HashemAljifri]

Is this linear algebra or calculus exam?? The difficulty of the algebra is overwhelming!!

[DuncanPenny-vq]

Taylor Lisa Martin Timothy Lee Anthony