In this post, we’ll discover the main differences between calculus 1 and calculus 2, which is hard and which is easier.

Also, discover the relation between calculus 1, calculus 2, and differential equations, so if you are interested in one of these topics and need detailed information. In this post is going to respond to all the famous questions.

## calculus 1 vs calculus 2

**Calculus 1 is the first subject that students typically take in college. It is the first topic in college after taking taking precalculus in high school. Calculus 1 is an easier subject compared to the next calculus course that came after which is calculus 2.**

**In other words calculus, 2 is harder or more advanced than calculus 1, but calculus 1 is so important that students take build solid foundations allowing them to study calculus 2 and later calculus 3.**

** If you struggle or did not absorb calculus 1 well you will mostly fail and could not pass the calculus 2 exam.**

Because most of the calculus 2 topics are taught firstly in calculus 1, you just expand and study topics calculus 1 more thoroughly in calculus 2. In other words, you don’t study anything new except for some new topics that we will mention later.

But before discovering the new topics that students will discover in calculus we’re going to notice what are the main topic students study in Calculus 1 and calculus 2 so our explanation be more clear.

** In Calculus 1 student study 3 main components of color which are:**

- limits and continuity
- derivative
- integrals
- differential equations

but when we look at calculus 2 we find that students study the same topics that we mentioned in Calculus 1 except they discover some new Topics which are **Parametric equations** and **Series**

**So to summarize, calculus 2 is just an advanced version of Calculus 1 where students study the same math topics but in more details ways and scale-out their knowledge about calculus. **

## calculus 1 vs 2 vs 3

**The difference between Calculus 1 calculus 2 and finally calculus 3 is calculus is divided into three portions or 3 courses. Beginning with calculus 1 which is easier, then the difficulty increases gradually to calculus 2 until finally reaching the most complex calculus course which is calculus 3 or multivariable calculus as an order label of calculus 3.**

**So the easier calculus course is Calculus 1 and the harder calculus is calculus 3, calculus 2 is a subject that stays in the middle of difficulty between Calculus 1 and calculus 3.**

As we said in the previous paragraph Calculus 1 and calculus 2 have big similarities you can go back to check and check the differences that we mention above.

In calculus 3 you will study more advanced and new topics about derivatives and integrals. For instance, determining or solving derivatives equations that comprise more than one variable.

In addition to studying some new theorems like **Green’s, Stokes’, and the divergence theorems.**

All that you’ve to learn in calculus 1 and calculus 2 you will be all deployed in calculus 3.

**What makes calculus one of the difficult calsses is you must study it from scratch sequentially. You can’t take calculus 3 before calculus 2 or 1 you must respect the order and study each topic thoroughly** **to finally succeed and get your 4 engineering physics or math degree.**

## Calculus 1 vs differential calculus

**Differential calculus is one part of differential calculus, in calculus 1 students study a group of topics that also include differential equations which is differential calculus. Differential equations are also taught and used in advanced classes of calculus and calculus 3.**

In some college courses, they teach differential equations or differential calculus as a singular topic or course. but differential equations are the subject that deploys Calculus 1 topics especially derivative and some algebra.

So you would likely study differential equations in your first year of college that** could be embedded in Calculus 1 and calculus 2 courses **or **be an independent course as we mentioned before. **

So there are two scenarios

### first scenario: Differential calculus topics are divided into two courses Calculus 1 and calculus 2.

In the first scenario, you will study differential calculus in parts, in calculus 1 and calculus 2.

in Calculus 1 you will study these differential calculus Topics:

- Differential equations introduction
- Verifying solutions for differential equations
- Sketching slope fields
- Reasoning using slope fields
- Separation of variables
- Particular solutions to differential equations
- Exponential models

So it’s going to be your first step in differential calculus when you take the Calculus 1 course. then after finishing calculus 1 you will go and study the second part of differential equations in calculus 2.

the calculus 2 differential topics are more complex and advanced, but you will be using all the previous topics and knowledge you studied in the differential calculus 1 course.

So in calculus 2, you will study theses following differential equations subjects:

- Approximation with Euler’s method
- Separation of variables
- Particular solutions to differential equations
- Exponential models
- Logistic models

### Second scenario: independent course

the second scenario is you will study all these subjects that we mentioned about differential calculus in one single module called differential equations. instead stuying differential in parts divided between calculus 1 and calculus 2.

## Which is harder, calculus 1 or differential calculus

**Regardless of the overlap between this subject Calculus 1 and differential equations or differential calculus. calculus 1 remains the easier calculus topic that students will take and so it is a lot easier than differential equations.**

Typically students take all the calculus knowledge topics to finally apply them to differential equations.

One of the main topics that students study in Calculus 1 which is so helpful and necessary for differential equations or differential calculus is **derivative**. Students need to be very good and have enough experience making derivatives for multiple functions like:

- making a derivative of polynomial functions
- trigonometric funcitons
- exponential functions
- logarithms functions etc

so calculus 1 is an elementary course students take to prepare for differential calculus for differential equations.

while in some cases as we mentioned before in the article, students can take Calculus 1 and differential equation or differential calculus and the same program at the same time.