Overcoming Struggles in Calculus 3

In summary: It sounds like you're doing all the right things, but you need more practice to know how to apply what you've learned.
  • #1
jlmccart03
175
9
I am currently nearing the end of my Calculus 3 course and have been struggling all semester. First there is some background information. I passed Calc 1 and 2 with a B and C respectively. Over the summer I worked on my skills and felt prepared. Unfortunately my section was chosen for IBL (inquiry based learning) and this meant no lectures, just packets. Fast forward and I have 58% exam average. First exam was 62, second 40, and third 62. I need a 62 on my final to be at least at a 70%.

What are some of the main reasons for such struggle? Besides it being IBL I was curious of what typically causes one to struggle as bad as I am? I have gone to every class, take notes when I can, read the book, use khan academy, go to the math help room, work in a study group, and still feel lost as to why I am failing. Another note is that I manage to pass most conceptual problems (I.e. the types of problems that ask what does this integral mean or what type of setup one should use) but fail computations. I can get the problem setup, but always fail at executing and finishing the problem with the right answer.

I can’t afford to fail this course as my degree depends on it, but that is besides he point. Thanks to any and all replies!
 
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  • #2
When you list the things you are doing, you don't list actually working problems by yourself. This is where the real learning occurs, at least for me. You need to practice working through the problems by yourself until you can do them routinely. In a study group, it is easy to say to yourself, 'Yeah, I see how they got that," but then when you are working through a problem on your own you say, "Wait a minute, how did that go again?"
 
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  • #3
Your problem may be you can't see the forest for the trees. You are so focused on getting everything down and not playing with it or thinking outside the box. Calculus is meant to be used on real world problems and by looking around and using Calculus to get answers might help you overcome this issue.

I had a classmate in high school who did really well in English and Social Studies because he was an excellent notetaker. Me not so much. When we were in math class he would write everything down and miss the focus of the lecture. I instead sat and listened and then worked the problems and did much better than he did. I don't know why exactly but I like to think I saw the forest (bigger picture) while he saw the trees (and counted every leaf).

Does that make sense? Does it fit your situation? If not then there may be something else going on.

I also notice that recently I have periods of when I just can't understand some program I'm working on even one I wrote some time ago. Eventually though I snap out of the it and start to remember what I was trying to do and then it gets done. It could be the anxiety of trying to remember something that didn't get fixed well in my mind when I wrote it. Also I'm nearing retirement so it may have something to do with "summer vacation" coming soon aka senioritis as they used to say in high school.
 
  • #4
Grades of B and C in the preceding courses could be affecting things now, as well. Assuming your Calc 2 course dealt with integration, any time you have to integrate something in the current course, such as using the integral test on a series, that grade of C probably indicates gaps in your knowledge that would prevent you from doing the calculations correctly. You mentioned working on your skills this past summer, but it's hard to know what you did or whether it was as helpful as you seemed to think.
 

1. How can I improve my understanding of vector calculus?

To improve your understanding of vector calculus, it is important to first have a strong foundation in basic calculus concepts such as derivatives and integrals. You can also try practicing with different types of problems and seeking help from your professor or a tutor if needed. Additionally, utilizing online resources such as videos, practice problems, and interactive tutorials can be helpful in clarifying any difficult concepts.

2. What should I do if I am struggling to understand the material in Calculus 3?

If you are struggling to understand the material in Calculus 3, it is important to first identify the specific areas or topics that are causing difficulty. Once you have identified these areas, you can seek help from your professor, attend study groups, or work with a tutor. It is also helpful to practice regularly and ask questions during class or office hours to clarify any confusion.

3. How can I manage my time effectively while studying for Calculus 3?

To manage your time effectively while studying for Calculus 3, it is important to create a study schedule and stick to it. This schedule should include dedicated time for review and practice, as well as breaks to avoid burnout. It is also important to prioritize your studying based on your understanding of the material and focus on the areas that need the most improvement.

4. What are some common mistakes to avoid in Calculus 3?

Some common mistakes to avoid in Calculus 3 include not fully understanding the fundamental concepts, not showing all steps in your work, and not practicing regularly. It is important to thoroughly understand the principles and techniques of calculus, as well as to clearly show your work and reasoning in solving problems. Regular practice is also crucial in mastering the material and avoiding careless errors.

5. How can I stay motivated while overcoming struggles in Calculus 3?

To stay motivated while overcoming struggles in Calculus 3, it is important to set achievable goals and celebrate small victories. It can also be helpful to find a study group or partner to work with and keep each other accountable. Additionally, try to find real-life applications of the concepts you are learning to stay engaged and motivated. Remember that struggling with a subject is normal and with persistence and determination, you can overcome any challenges in Calculus 3.

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