Lecture 35, 36, Review 1, and Review 2 Videos

Hi all,

Here is the video for Lecture 35.

Here is the video for Lecture 36.

Here is the video for Review 1.

Here is the video for Review 2.

Sorry for the late upload, I only recently saw that these were uploaded.


Best,

Branden

Lecture Notes 41 (Friday 12/11) FINAL DAY OF NOTES AND REVIEW

Hi all,

Here are the notes for the 12-1 Lecture.

I did not go to the 9-10. but will be posting videos of all the Review lectures soon.

Today the Professor covered integration by substitution, more information on the differential dx notation, and a hard epsilon delta proof.

Your final is either exactly a week or a little less than a week away, so be sure to study and prepare adequately. Do not forget to get enough sleep and eat well!

It has been a pleasure running the blog for this Math 1A Course.


Happy Studying.

Branden

Lecture Notes 40 (Wednesday 12/9)

Hi all,

Here are the 9-10 Lecture Notes.

I will post videos for the 12-1 Lecture soon as I have not been able to attend and take notes.

Today the Professor reviewed more about computing volumes with solids of revolution and Newton's Law of Cooling.


Best,

Branden

Lecture Notes 39 (Monday 12/9)

Hi all,

Here are the 9-10 Lecture notes.

I was not able to attend 12-1 Lecture today, but will post the video recording of this as soon as I receive it.

Today the professor reviewed Riemann sums, the definite integral definition using Riemann sums, exponential growth and decay and a non-examinable topic Work. In the 12-1, I believe he did not cover the topic of work and instead went over an additional volumes of revolution problem.

Keep studying!

Best,

Branden

Lecture Notes 38 (Friday 12/4)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor reviewed optimization and the corresponding vocabulary. In particular, the definitions and uses of critical points, absolute maxima and minima, local maxima and minima, concavity, inflection points, and the First and Second Derivative Tests. In 9-10, he also showed another example of a volume problem.

Continue studying for the final.

Have a nice weekend.

Branden

Lecture 34 Video

Hi all,

Here is the video for Lecture 34.

Best,

Branden

Lecture Notes 37 (Wednesday 12/2)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor continued our review for the final. He covered a few problems from his past final for Math 1A. In particular, he reviewed a related rates problem and gave a follow-up problem from Stewart to think about. He also talked about Volumes via solids of revolution and showed three possible ways to answer a problem from his past final regarding volumes. The Professor plans to send this past exam out via email soon.

The homework set today is of course to continue reviewing for the final.

Best,

Branden

Lecture Notes 36 (Monday 11/30)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor began reviewing for the final by going over Limits. In particular, the lecture focused on the precise definition of a limits using epsilon-delta and going through proofs using this definition.

The homework set is to study for the final and get additional practice with the precise definition of limit.

Best,

Branden

Lecture videos 30, 31, 32, 33

Hi all,

Here is the Lecture 30 video.

Here is the Lecture 31 video.

Here is the Lecture 32 video.

Here is the Lecture 33 video.


Best,

Branden

Lecture Notes 35 (Monday 11/23)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor covered Integration by Substitution using 3 different explanations. He began with an application and intuitive explanation of substitution, then a more mathematically well founded explanation and finally a more computationally driven explanation.

Today's Lecture marks the end of examinable material. Next week we will do Final Review Practice in Lecture.

The Homework set is to watch your email for a list of problems to work on and a potential list of topics to focus on studying over the break. When it is sent I will try to upload it here.

Best,

Branden

Lecture Notes 34 (Friday 11/20)

Hi all,

Here are my notes from the 9-10 Lecture.

Here are my notes from the 12-1 Lecture.

Today the Professor prove the Fundamental Theorem of Calculus in full.
The Professor plans to send a nice version of the proof of the Fundamental Theorem of Calculus today via email and I will upload it here when this happens.

The Homework Set today is to look over the proof when it is sent and understand it.

Best,

Branden

Lecture Notes 33 (Wednesday 11/18)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor spoke more about the Fundamental Theorem of Calculus, in particular the statement itself and how it makes sense in applications. He ended by explaining the Precise (or Limit) Definition of a Definite Integral from Stewart and how it agrees with our intuitive understanding of definite integrals.

The homework set today was to watch your email for information about the Definition of Definite Integrals and what to practice.

Best,

Branden

Lecture 32 Notes (Monday 11/16)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor covered more on the Fundamental Theorem of Calculus. He began with a visual demonstration of the theorem. We then wrote out precisely the Theorem in full (including both parts) and saw how to get from Part 1 of the FTC to Part 2.

The Homework set today is to learn the full statement of the Fundamental Theorem of Calculus.

Best,

Branden

Lecture 31 Notes (Friday 11/13)

Hi all,

Here are Professor Coward's Handwritten Notes from 9-10 Lecture.

Here are Professor Coward's Handwritten Notes from 12-1 Lecture.

Today the Professor spoke about integration. He covered the intro to Definite Integrals and Indefinite Integrals as well as the Fundamental Theorem of Calculus (Part I) which connects this two ideas. We will speak more about all of this in the following lectures.

The homework set is to look at problems 33 and on in section 5.2 which deal with definite integrals in terms of area. ( I think you should be able to do most of 33-58 if you look over the section and today's notes). 

Have a nice weekend,

Branden

Lecture Videos 24,27,28,29

Hi all,

Here is the video for Lecture 24.

Here is the video for Lecture 27.

Here is the video for Lecture 28.

Here is the video for Lecture 29.

Best,

Branden

Lecture Notes 30 (Friday 11/6)

Hi all,

Here are the 9-10 Lecture Notes.

Here is Professor's Coward's Proof of MVT for 9-10

Here are the 12-1 Lecture Notes.

Here is Professor's Coward's Proof of MVT for 12-1

Here is Professor Coward's solution to the Optimization Problem gone over in class today.

Here is the student solution to a Related Rates problem shown in class today.

Today the Professor review the material that will be covered on Midterm 2 which is on Monday. He went over the major topics from chapter 3 and 4 and drew connections between the content. He also went over the proof of the Mean Value Theorem and examples related to Related Rates and Optimization.

The homework set is to study for your midterm!

Have a nice weekend,

Branden

Lecture 29 (Wednesday 11/4)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the professor went over some of the definitions related to the shape of a graph in the 9-10 lecture as well as L'Hopital's rule in both lectures. He went over some exercises from Ch. 4.4 in Stewart from exercsises 8-68. Check both lecture notes to see all problems he went over.

The homework set today is to look over the exercises in Ch. 4.4 8-68 and read ch. 4.4

Best,

Branden

Lecture Videos 21,22,23,25,26

Hi all,

Here is the Lecture 21 Video.

Here is the Lecture 22 Video.

Here is the Lecture 23 Video.

Here is the Lecture 25 Video.

Here is the Lecture 26 Video.

There are some issues with Lecture 24, I will keep you updated if this is able to be uploaded.

Best,

Branden

Lecture Notes 28 (Monday 11/2)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor covered the relationship between the derivatives of a function and the shape of a graph. In particular, he related the first derivative and increasing/decreasing as well as the second derivative and concave-up/concave-down to the shape of a graph. In the 9-10 lecture, he also began to cover L'Hospital's rule (4.4 in textbook).

The Homework set today is:

1.) Read 4.3 carefully (Including all exercises). Note in particular the definition of inflection points. 

2.) Try Stewart problems 33-44 (7th Edition)/37-48 (8th Edition). For harder exercises try 45-51 (7th Edition)/49-56 (8th Edition).

Best,

Branden

Lecture Notes 27 (Friday 10/30)

Hi all,

Here are the 9-10 Lecture Notes.

Here are the 12-1 Lecture Notes.

Today the Professor covered Rolle's Theorem and the Mean Value Theorem. He gave a way to understand and properly state both. He also outlined the proof of Rolle's Theorem, which is not examinable, and went through the proof of the Mean Value Theorem, which is examinable. So you should be able to prove the Mean value Theorem for the coming midterm, but do not worry about being able to prove Rolle's Theorem (although you should work to understand the proof).

The homework set today is to read Ch. 4.2 and look over the exercises in the section, although you do not necessarily have to do all of them.


Best,

Branden