I didn't learn things in Calc 1 that is needed in Calc 2

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Discussion Overview

The discussion revolves around a student's concerns about gaps in their calculus education, specifically the lack of coverage in Calculus 1 that is impacting their ability to succeed in Calculus 2. The focus is on identifying which chapters and sections from the textbook are essential for self-study to catch up effectively, particularly in relation to integration techniques and their applications.

Discussion Character

  • Homework-related
  • Debate/contested
  • Exploratory

Main Points Raised

  • The student has not covered chapters 8-11 in Calculus 1, which are critical for understanding Calculus 2 material.
  • Some participants suggest focusing on integration techniques from chapter 8 as essential for Calculus 2.
  • Others propose that sections on applications of integration (chapter 9) and parametric equations (chapter 11) are also important.
  • There is a suggestion that chapter 10 on differential equations may not be immediately necessary for the current coursework.
  • One participant argues that without a solid understanding of integration, the student may struggle in future engineering courses.
  • Some participants express concern that the student may not be able to learn the necessary material quickly enough to keep up with the class.
  • There is a debate about the importance of various sections, with differing opinions on whether to prioritize integration techniques or other topics.

Areas of Agreement / Disagreement

Participants generally agree that integration techniques are crucial, but there is no consensus on which specific sections to prioritize for self-study. Some advocate for a focus on chapter 8, while others suggest a broader approach that includes sections from chapters 9 and 11.

Contextual Notes

Participants note that the student is under time pressure to self-study within a week, which may limit their ability to cover all necessary material comprehensively. There are also concerns about the implications of skipping foundational topics for future coursework.

  • #31
I am glad I got all this worked out. Thanks fot all the help.
 
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  • #32
Cool, I sort of wondered about that, because my calc 2 class covered what would be 7-9, a little of 10, and chapter 12 in your book. Good to hear that you don't have to cover all of that material that quick!
 
  • #33
Indeed matt. I really couldn't had done it. At least not successfully.
 
  • #34
:smile: Looks like he definitely doesn't have a problem with his self esteem.

And I just saw this at the bottom of his page:

Final Examination
May 1, 8:00-9:50 am

OUCH!
 
  • #35
That picture is pretty funny huh? But I don't understand what you mean about the final exam time. What is wrong with that?
 
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  • #36
Whoa! He already corrected his syllabus online. I can't help but to think that I saved the day. If I had a website I would put pictures of Superman, Batman, Spidermam, Green Lantern, and a picture of me at the top of the page.
 
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  • #37
Now it says that we will cover Ch. 7,8,11,12.
 
  • #38
Nothing000 said:
That picture is pretty funny huh? But I don't understand what you mean about the final exam time. What is wrong with that?
:smile:

And I think it's good he corrected his website. Even though you were the only one who said something to him (that you saw), I can imagine PLENTY of people were freaking out over this issue. I'd wager he lost a couple students!

Oh, and about the exam time, I was just thinking about how much an 8 am final exam sucks. At least I can't stand them.
 
  • #39
I think your math department needs to have a meeting to think through their math curriculum then...first of all, most schools cover chapters 8, 9, and 12 in calc 2 and chapters 1-7 w/ parametric eqs in calc 1. Vector analysis/calculus, polar coordinates, and geometry/calculus in 3d are usually calc 3 topics. This is how it is at my school, and how it is at many other schools.

second, the topics that you're missing out on are VERY important and I don't see how they were just 'skipped'. I wouldn't worry at all about chapter 10 (DE should be covered exclusively in DE class), but you should see ALL of chapter 8 and know it well, and some of chapter 9 (arc length and maybe area of surface or revolution, but this might have been covered in calc 1).

Keep in mind that your calc sequence won't cover EVERYTHING in the textbook, like the DE, the probability, and many of the applications...these will be covered in suqsequent classes. (DE, prob/stats, and engineering/science classes)

edit: sorry, I just read the thread, and found that you corrected the problem. :p
 
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  • #40
Maxwell said:
Did you by any chance take your Calc 1 class at another school?

Because this is what I'm seeing:

Calc 1:
1 - Functions and Models
2 - Limits and Rate of Change
3 - Derivatives
4 - Applications of Differentiation
5 - Integrals
6 - Applications of Integration
7 - Inverse Functions

--------------------------
8 - Techniques of Integration
9 - Further Applications of Integration
10 - Differential Equations
11 - Parametric Equations and Polar Coordinates

-------------------------
Calc 2:
12 - Infinite Sequences and Series
13 - Vectors and the Geometry of Space
14 - Vector Functions


So where do you learn the material from chapters 8-11? The only reasonable thing I can think happened here is that you took your Calc 1 class at another school.

Most schools put chapter 8 into calc 2 and maybe chapter 9 too. Chapter 10 isn't covered until thestudent gets to diffEQ. Chapters 11, 13, and 14 are defnitely calc 3 concepts, except for maybe parametric EQs, which is a calc 1 topic. EVERY single school that operates on semesters use this curriculum, or a similar one.
 
  • #41
Nothing000 said:
Alright, alright. I got the whole thing figured out. I contacted my professor from calc one (by the way I did take calc 1 at the same school) and she talked to people in the math department and it turns out that this professor I have for calc 2 is just a temporary professor and he was under the impression that our calc 2 started on ch. 12. When I talked to him he must have thought that I took calc 1 at a different school just like you thought. So the main guys at the math dept contacted this calc 2 prof. and told him the correct protocol for our calc series, and he was told to start on Ch. 8. I have no idea why no one else in the class as asking about this.
So he already started lecturing on ch. 12 today (which was the first day of class), so I bet he feels dumb. When I told him that we only coverd up to ch. 7 in calc one he looked at me like I was stupid or something. So this makes me feel A WHOLE LOT BETTER.

If he would have skipped chapter 8 then he would have made a big mistake. :-p
 
  • #42
Damn straight!
 
  • #43
wow good for you pointing out that mistake! :bugeye: I wouldn't have noticed if that happened in my math class since the profs like to skip back and forth between chapters all the time.
 
  • #44
Are you sure that you are not in calc 3? If calc 2 goes through to ch14 what's left? Did you transfer from a school that does calc in 2 semesters to as school that does it in 3? If so I'd suggest that you go back and take calc ! again to get those missed chapters, In my opion Chapter 8 & 9 are essential and probabally the hardest chapters to teach yourself. I guess that some of the techniques for integration are not common, others like integration by parts are essentail. Forget chapter 10 but you need chapter 11 although its not too hard but its a lot easier to see worked out rather than just reading.

If you are a engineering major I would seriously advise you to go back and take the class that teaches those chapters again because you will need that informatiom throughout your major, gaurenteed!
 

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