Originally Answered: Why is it so hard to grasp the concepts of calculus? 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. It is Algebra-based and adds on new concepts in addition to Algebra concepts. Take statistics in college when it is a real math class instead of a technique memorization class. High school and AP Physics require algebra, plus a facility with the trigonometric functions sine, cosine and tangent.
By algebra, I think you mean high school algebra and by geometry you mean Euclidean geometry. In the same way, if you have to take pre-calculus later, then you will need algebra 2. If the last math you have to take for your degree is pre-calculus, you can skip algebra 2. The hardest part of pre-calculus is the course that precedes pre-calculus. Imo, learning calculus is just a function of time. Precalc is a lot of memorization and understanding trigonometry seriously make sure you have trig down!
These courses are central to understanding the mathematics that aid in learning the basis of physical equations. You do not have to be smart to do calculus but students of average intellect should be prepared to put in a tremendous amount of effort. This is due to the abstract reasoning and overall difficulty of calculus courses.
More often than not students pursuing degrees requiring advanced forms of calculus are smart students. Physics, engineering, math, computer science, and other science majors are often some of the brightest students in their classes. The average IQ of such students is definitely above the norm. However, several average students manage to do well in STEM majors requiring calculus by working hard and being disciplined. Some of the most important qualities required to succeed in tough majors are stick-to-itiveness and grit.
The hardest thing about calculus is understanding the logic behind The hardest thing about calculus is understanding the logic behind epsilon-delta limits and formulating adequate proofs for epsilon-delta limits.
Students find epsilon-delta proofs difficult especially because many calculus courses start it. Students who go on to take more advanced calculus courses find the integration in calculus II and three-dimension based questions in calculus III particularly difficult. Almost all students struggle with algebra in calculus to some extent or the other.
Any weakness in algebra will be exposed in your calculus courses. Hence it is a great idea to practice your algebraic skills before enrolling in a calculus lecture. Calculus is not the hardest type of math. While calculus may be the hardest type of math offered in high school and most college programs; it is far from being the hardest when compared to all the types of math available.
Courses such as analysis, topology, and differential geometry are all harder than calculus. At the undergraduate level courses such as calculus III and calculus IV have a reputation of being hard but are still not the most difficult courses a math major would encounter. Beyond the undergraduate level, there are far more difficult classes than calculus being offered to students who want to study advanced mathematics.
For the overwhelming majority of people, calculus would be the most difficult math course that they have encountered. The hardest high school math course is calculus. This explains why calculus is dubbed the hardest type of mathematics whereas in reality there are much more advanced and challenging forms of mathematics available.
Calculus 2 is definitely harder than calculus 1. The questions in calculus 1 are easier to solve as the concepts are easier and there is little critical thinking involved. On the flip side calculus, 2 demands strong analytical skills and an in-depth understanding of the subject content.
Calculus 2 is not harder than calculus 3. Calculus 2 requires you to learn several integration techniques and series. Calculus 3 is essentially calculus 1 in three dimensions and it heavily uses vector equations. Calculus 3 is more difficult since it is more abstract and has harder concepts to understand.
Calculus is the basis of higher-level mathematics. For most students, it is the most advanced form of mathematics that they have encountered to date.
This explains why calculus has a notorious reputation of being extremely difficult. In reality, there are more difficult and advanced forms of mathematics offered but they are unknown to the masses. Calculus is certainly hard but if you have a strong understanding of pre-calculus, algebra, geometry, and trigonometry and are willing to put in the hard work necessary then calculus should not be too much of a challenge.
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Ben Davis May 8, What is college algebra equivalent to? Is college algebra a hard class? Is college algebra the same as calculus? What do you learn in college algebra? Can I teach myself college algebra? Is college algebra harder than precalculus?
Does precalculus look good for college? What is the most difficult math course? Which is the hardest calculus class? Which is harder Calc 1 or 2?
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