Learning high-school calculus in a high-school class takes
If you plan on moving onto higher-level calculus and analysis courses, the more time you invest into truly mastering single-variable calculus, the easier those will seem. I was able to independently cover two semesters’ worth of calculus in roughly 2-3 months, so it is most definitely possible.
You should be spending about 12 hours a week studying calculus; that’s 2 hours a day, 6 days a week. If you need to make adjustments in your academic or work schedules, do so now.
Can the average person learn calculus? It is, however, not very easy for most people and takes practice to learn at a more rigorous level. The average person could do calculus at the high school level with some difficulty, but at the collegiate level would struggle more.
You can teach yourself calculus. It won’t be easy and requires self-discipline and knowledge in algebra, geometry, and trig. However, the resources are out there, but the motivation must come from within.
Calculus is harder than Pre-Calculus. Pre-calculus gives you the basics for Calculus… just like arithmetic gives you the basics for algebra… etc. They are all building blocks that are very important in your “math development.”
you can def skip trig/precalc and go straight to calc. as long as you can use a unit circle, you should be fine with the trig. precalc spends weeks on the first thing you learn in calc1, so it’s pretty much a big waste of time.
Originally Answered: Why is it so hard to grasp the concepts of calculus? It’s because the algebra and trig and geometry skills needed are not there. The foundation of your mathematics is very low. The basics of Calculus are very easy if you are strong at the subjects that come before it.
You cannot “learn calculus” in a week. If you were a strong math student, you could get an overview of calculus in a week. When I went to college, they had a five-week track of Calculus I, II, and III. That’s 8-hours per day for 5-weeks in the summer, with a CAS, and with very lengthy homework sets every night.
It took me 17 days to finish and master the differential calculus section, at an average of ~3.9 hrs/day. Note that I had no initial knowledge of what calculus even was before I started. Also, completing the course in this timeframe will take a lot of dedication and appreciation of the subject.
115-120 is probably required for a solid understanding of the full calculus sequence. Calculus isn’t taught well in high school, and I’d suggest retaking it in college if you’re feeling lost.
After they score >140 on an IQ test, this improves to a 0.2% chance. That’s a big increase, but it isn’t high enough to predict that an individual is a genius with any degree of certainty. … mathematicians probably have a much higher standard for what constitutes ‘genius’ than do regular people.
Originally Answered: Which is the toughest branch of mathematics? Geometry and trig are both really basic. Algebra can get very difficult at the university level, especially in graduate programs when you start to generalize concepts to abstract algebra and then explore commutative algebra.
Calculus is thus useful for small-scale and large-scale scientific discoveries, inventions, and advancements in general. … Calculus is not restricted to mathematics and analysis, it’s used pretty much everywhere – Physics, Chemistry, Economics, Biology, Engineering, Dynamic systems and so much more.
In some sense, the prerequisite for Calculus is to have an overall comfort with algebra, geometry, and trigonometry. After all, each new topic in math builds on previous topics, which is why mastery at each stage is so important.
Algebra 2 with Trigonometry and Precalculus are usually the same thing with very little difference. If you put the Alg 2 with Trig book and the Precalc book by the same author/publisher side by side and compare their “Table of Contents,” you will find them almost identical.
Calculus is harder than Pre-Calculus. Pre-calculus gives you the basics for Calculus… just like arithmetic gives you the basics for algebra… etc.
You don’t need to take Pre-Calculus. I took Calculus w/o Pre-Calculus and did fine. I did have to learn the Trig functions on my own though.
Learning precalculus in a summer is very difficult. Precalculus is hard with 9 months to learn it. It is extremely difficult to learn in 6 weeks. If you are lost at any point, it will compound very quickly.
Trigonometry vs Precalculus? Precalculus encompasses both trig and math analysis; therefore a precalculus course will cover more topics than just a trigonometry course alone.
Pre-calculus is necessary if you are planning to take any additional mathematics that focus on the calculus stream, but college algebra is often the last stop in any mathematics courses. If your goals include any mathematics post-secondary, the pre-calc course will likely be more useful to you.
No, Physics is definitely harder than calculus.
There are basically two types of calculus or we can say parts which we focus during our class 11 and 12th . … integral calculus (dealing with the calculation of of largest part of the expression of the system).
Most colleges want students to have at least 3 years of high school math, though more selective colleges prefer 4 years. Prioritize taking several of the following courses: Algebra 1. Geometry.
Years ago, only advanced math students took Calculus in high school. Today, while Calculus is still an advanced course, an increasing number of high school students are applying to college with a year of Calculus already under their belts. … Consequently, many school districts have begun offering Algebra 1 earlier.