What is the Rank of Difficulty for College Math Courses?

I've always been decent at math, but college math sounds daunting. I'm trying to figure out my class schedule for next semester. Does anyone have a list or can suggest the rank of difficulty for college math courses?

The difficulty of college math courses can vary greatly depending on many factors, including the specific college, the professor, and your personal aptitude and interest in mathematics. However, here's a general ranking from less to more complex typically found in a mathematics undergraduate program:

1. College Algebra: This is often the first math course in college, covering fundamental algebraic operations.

2. Pre-calculus: Building on algebra, this course introduces concepts that you'll need in calculus, like trigonometry and complex numbers.

3. Calculus I and II: Calculus courses often cover differentiation and integration, with Calculus II usually extending to techniques and applications of integration.

4. Linear Algebra: This course deals with vectors, matrices, linear transformations, and methods for solving systems of linear equations.

5. Differential Equations: You'll learn how to solve equations involving derivatives, with applications in physics, engineering, and other fields.

6. Multivariable Calculus (also called Calculus III): This extends calculus into higher dimensions and covers topics like vectors, partial differentiation, and multiple integrals.

7. Real Analysis: This is a proof-based course on the concepts underlying calculus. This is usually the first class where you'll do a lot of rigorous proof writing.

8. Abstract Algebra: A study of algebraic structures like groups, rings, and fields. Like real analysis, this tends to be proof-oriented.

9. Topology: This could be considered "abstract geometry". It can be a challenging course, dealing with very fundamental and abstract ideas about space.

Remember, the difficulty of each course can depend greatly on the individual student. If you enjoy the more computational aspects of math, you might find calculus easier than algebra. Conversely, if you like abstract reasoning or visual thinking, you might find algebra or topology more approachable.

Before selecting your courses, it's always good to consult with an academic advisor or professor in the math department. They can give advice tailored to your specific situation and interests.