In this post, we’re going to discover why calculus 2 is hard and what are the key points to succeed in calculus 2.
In addition, responding to some famous equations about calculus 2.
so keep reading if you are interested in succeeding in calculus 2 and notice some differences between calculus 2 and other calculus courses, especially Calculus 1.
Is calculus 2 hard
Calculus 2 is one of the most difficult calculus subjects after multivariable calculus Which remains the second hardest and most difficult college math subject for students. Students study calculus 2 to prepare for multivariable calculus. This is why students find hard compared to the previous classes like calculus 1 and pre-calculus.
What makes a student find calculus hard is they have to complete the most difficult calculus topics like the application of derivatives and integrals and also studying some complex subjects like polar equations and series and sequences.
but the thing that makes people fail and can’t pass calculus 2 Is the application of derivatives and integrals. They are difficult, especially for students who haven’t acquired a solid foundation from previous courses like Calculus 1 precalculus that calculus 2 is based on.
Calculus 2 is like a test of all the math basics foundations you have acquired during high school math classes. This means if you’ve been good and completed successfully Algebra 1, Algebra 2, and precalculus courses you would likely not find hardships studying calculus 2.
The other main reason that makes calculus 2 hard is that a lot of people are underestimating the amount of hard work they should deploy to study calculus 2 compared to other classes or courses like algebra. To clarify calculus courses require a double putting double effort than algebra courses.
Even if you understand calculus 2 well, there is a lot of work waiting for you to build intuition and get the experience. Which finally will be allowing you to make fewer mistakes or miss small things like minus and plus sin etc.
is calculus 2 harder than calculus 1?
Calculus 2 is way harder than calculus 1, calculus 1 is just a preparation for the hardest calculus classes students will take later in calculus 2 and calculus 3 or in multivariable calculus.
Students study in calculus 2 the same topics they have studied in calculus 1 but the main difference between them is in calculus 2 they study more complex, detailed, and advanced applications of these topics, especially in derivatives and integrals which makes calculus 2 harder than calculus 1.
We’re going to list the main topics you are going to study in Calculus 1 and Calculus 2. We finally noticed the same similarities between calculus 1 and Calculus 2 courses.
calculus 1 topics:
- Limits and continuity
- Derivatives: definition and basic rules
- Derivatives: chain rule and other advanced topics
- Applications of derivatives
- Analyzing functions
- Differential equations
- Applications of integrals
Calculus 2 topics:
- Integrals review
- Integration techniques
- Differential equations
- Applications of integrals
- Parametric equations, polar coordinates, and vector-valued functions
If we compare calculus 1 and calculus 2 we find that students study limits and continuity in calculus 1 while they don’t in calculus 2, but this subejct is already included and used in derivatives and integral equations.
The noticeable thing you will discover in calculus 2, is you will study parametric equations and series which are new subjects calculus 1 doesn’t study, but still easier and doable compared to derivatives and integrals, the hardest subjects in calculus 2 course.
So as you can see you will find a lot of similar and repetitive topic names that students take in Calculus 1 and calculus 2. So this is what indicates and proves that calculus 2 is just an expandable version of Calculus 1.
Do you need calculus 1 for calculus 2?
It is impossible to take calculus 2 without having taken calculus 1 because all the calculus 2 courses are expanded upon calculus 1 courses.You would have derivatives, integrals, differential equations, limits, and continuity. So you need to study Calculus 1 and absorb all its topics to be finally eligible to study calculus 2.
If you did not study Calculus 1 this will reflect dramatically on your performance when you need to study calculus 2. That is to say, you will struggle and find a lot difficulties to succeed in calculus 2 which a lot of people suffer from this problem.
So the best thing to do to prepare for calculus courses, especially for calculus 2 by work hard on Calculus 1 subjects and make sure of understanding all its topics, especially focusing on derivatives and integrals before you think to move and take calculus 2 courses.
What comes after calculus 2
After completing or succeeding in calculus 2, You would have to complete the most difficult course students normally take afterward which is multivariable calculus or calculus 3. It is more difficult than calculus 2, it is the hardest and most complex subject for students in calculus college topics.
You will also take a difficult algebra course called linear algebra. It is the most challenging algebra course you will take in college but it is easier when we compare it to multivariable calculus.
Linear algebra course it’s totally different from calculus it’s based on college algebra courses that you should normally have taken before studying it.
But if you think that is the end of the math you are wrong, we’re just mentioning the topic that you would study to get your Bachelor’s and engineering mathematics all physics majors.
but if you want to become a mathematician, this is just the beginning of the road. What you will discover and have to complete a lot of courses and more advanced stuff.