Should I take Calc 3 or differential equations first?
To determine whether you should take Calc 3 or Differential Equations first, you need to consider the prerequisites and the content of both courses.
Differential Equations (DE) builds upon the concepts learned in Calculus 2. It involves the study of mathematical models that describe how quantities change over time, such as population growth, physics problems, and electrical circuits. To be successful in DE, you should be comfortable with integration techniques, solving differential equations, and have a solid understanding of calculus concepts.
On the other hand, Calculus 3 (also known as Multivariable Calculus) focuses on extending calculus concepts to functions of multiple variables. Topics covered include vectors, partial derivatives, multiple integrals, line integrals, and surface integrals. Some universities may require Calculus 2 as a prerequisite for Calculus 3.
Considering these factors, it is generally recommended to take Calculus 3 before Differential Equations. This is because many of the calculus techniques and concepts learned in Calc 3, such as vector calculus, are foundational for Differential Equations. Additionally, having a solid understanding of calculus will make it easier to comprehend and apply the techniques taught in Differential Equations.
However, it's important to consult your academic advisor or check your university's course sequence guidelines, as requirements may vary based on your institution's curriculum. They will provide you with the most accurate information and help you determine the best order for these courses based on your academic goals and strengths.