Math for Mechanical Engineering: A Beginner's Guide to Calculus and Beyond

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Discussion Overview

The discussion revolves around the mathematical prerequisites for a mechanical engineering program, particularly focusing on the necessary courses leading up to calculus. Participants share their experiences and suggestions regarding the sequence of math courses, remedial options, and resources for preparation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant inquires about the math courses needed before starting calculus, expressing concern about being out of school for a while.
  • Another participant provides a detailed sequence of math courses typically required for mechanical engineering, starting from algebra and progressing through multivariable calculus and differential equations.
  • A participant expresses confidence in catching up on remedial math within a year to prepare for calculus, indicating a planned graduation timeline.
  • Some participants emphasize the importance of proficiency in algebra and trigonometry, suggesting that a course in college algebra and Euclidean geometry would also be beneficial.
  • One participant reflects on their past experiences with math courses, noting their early exposure to precalculus and expressing a desire to retake trigonometry and precalculus as remedial courses.
  • Another participant suggests checking with the school regarding the availability of remedial courses.
  • Resources for online math preparation are shared, including a website with short instructional videos on various math topics.
  • A participant shares their experience that engineering colleges typically require starting with calculus 1 in the first semester and outlines two options for catching up on math prerequisites.
  • Recommendations for online platforms like Khan Academy and Coursera for math content are provided, along with suggestions for specific study materials.

Areas of Agreement / Disagreement

Participants generally agree on the importance of foundational math skills and the sequence of courses leading to calculus. However, there are differing opinions on the best approach to catch up on prerequisites, with some advocating for community college courses and others suggesting proficiency exams.

Contextual Notes

Some participants note the variability in engineering program requirements and the potential for different schools to have different policies regarding math proficiency exams and course placements.

Jtown
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Hey everyone I'm new here but just about to start school again for mechanical engineering and was wondering what math would I need to take to lead me up to calculus because I've only passed one remedial math when I went 5 years ago
 
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The sequence would be

Algebra
Geometry
Advanced Algebra and Trigonometry
Precalculus
Calculus 1: Differential Calculus
Calculus 2: Integral Calculus
Calculus 3: Multivariable Calculus
Linear Algebra
Differential Equations
Advanced Calculus
Boundary Value Problems
...
 
Thanks a lot. I was worried I'd have to take all of them in that order since I've been out of school for so long but I'm confident I can take those remedial maths to be caught up in a year and be ready for calculus the next so being 1 year behind doesn't bother me I. planned on graduating with bachelor's in 5.5 years
 
You are going to need to be proficient, at a minimum, with algebra and trigonometry. If you can also take a course in so-called 'college algebra', that would also be useful.
If your arithmetic is rusty, you should brush up on that as well. A course in Euclidean geometry is also recommended.

I am just seeing the list which jedishrfu has posted. Most ME curricula will start out with the Calculus 1 class and then go down the list from that point.
 
I did great in geometry and algebra was in precalculus my junior year of high school then messed up stuff lol didn't graduate just a ged but I figure I was in pre calculus that early I think it should all come back fairly easy but still want to retake trig precalculus in college the offer those right as remedial?
 
BTW thanks for awesome replies most helpful forum so far all other ones I've tried e just trolls lol
 
Jtown said:
I did great in geometry and algebra was in precalculus my junior year of high school then messed up stuff lol didn't graduate just a ged but I figure I was in pre calculus that early I think it should all come back fairly easy but still want to retake trig precalculus in college the offer those right as remedial?
Check with your school.
 
For remedial online resources check out

Mathispower4u.yolasite.com

There are a large number of short videos on each topic in each of the courses you wish to study.
 
In my experience engineering colleges tend to want you to start with calculus 1 in the first semester. So the way I see it there's two options:

1.) Take the math prerequisites at a community college or delay entry into the ME program when you get to college until you've caught up

2.) (And probably ideal) most colleges will administer a basic math proficiency exam. It will depend on the school, but it could be anything from clearing you to take calculus 1 to getting credit for all of the first-year calculus (generally clearing you to take calc 3, ie "multivariable calculus" or even up to differential equations). So time to hit the books :P

Try Khan Academy or Coursera for video lectures on the math. You should have no trouble finding all of the content you'll need (jedishrfu's progression is what you'll want to follow). I also recommend looking up some Shaum's Outlines books or even better the Demystified series.
 

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