College Level:
* Calculus II (Calc 2): This typically covers integration techniques, sequences and series, and possibly some introduction to differential equations.
* Calculus III (Calc 3): This expands into multivariable calculus, including partial derivatives, multiple integrals, and vector calculus.
* Differential Equations: A course focused on solving equations involving derivatives.
* Linear Algebra: Deals with vectors, matrices, and linear transformations.
* Real Analysis: A rigorous study of the real number system and functions defined on it.
* Complex Analysis: The study of functions of complex variables.
* Abstract Algebra: The study of algebraic structures like groups, rings, and fields.
* Topology: The study of shapes and spaces and their properties under continuous transformations.
* Probability and Statistics: While not always considered "higher" in the sense of pure math, advanced probability and statistics courses build on calculus and require strong mathematical skills.
* Numerical Analysis: The study of algorithms for solving mathematical problems numerically.
High School Level (though often considered introductory college-level):
* Multivariable Calculus (if offered): Some advanced high schools offer a course covering multivariable calculus, often as an extension of AP Calculus BC.
It's important to note that the order and level of difficulty can vary between institutions. For example, some universities might integrate linear algebra concepts into their calculus sequence. The "higher" math course depends on your specific mathematical goals and the curriculum of the institution.