Navigating Math After High School: Where to Go Next?

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SUMMARY

After completing college algebra with trigonometry, the most logical next step is to study Beginning Calculus, also known as "Calculus 1." This progression is recommended as it builds on the concepts learned in Pre-Calculus, ensuring a smoother transition into more advanced mathematics. While Geometry can be revisited later, focusing on Calculus now is essential for establishing a solid foundation in higher-level math. Following Beginning Calculus, students should consider advancing to Calculus II or Linear Algebra based on their ultimate academic goals.

PREREQUISITES
  • Understanding of college algebra and trigonometry concepts
  • Familiarity with Pre-Calculus material
  • Basic knowledge of mathematical functions and graphs
  • Ability to solve equations and inequalities
NEXT STEPS
  • Study Beginning Calculus using a recommended textbook
  • Research the curriculum for Calculus II to understand its requirements
  • Explore Linear Algebra concepts and their applications
  • Investigate resources for Geometry to reinforce foundational skills
USEFUL FOR

This discussion is beneficial for high school graduates, self-learners, and anyone seeking to establish a structured approach to advanced mathematics after high school.

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OK, I'm teaching myself all the stuff I didn't learn in high school. I just finished up college algebra with trig, and now I don't know which way to go from here. I was thinking maybe I should get a good geometry textbook and go with that, or maybe some more trig or more advanced algebra. I don't know. What is the most natural route from one subject to the other?
 
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Calculus.

- Warren
 
Beginning Calculus or "Calculus 1" is the most popular next choice. You could choose Geometry if you did not learn it well earlier, but you just finished studying a "Pre-Calculus" book and this has prepared you for studying Beginning Calculus; best to start it now while you are still fresh. Besides, you can always choose Geometry later.
 
Thanks for the replies, folks! So calculus it is. I have a beginning textbook. So, after that, what is the next natural course? Do I just go on to calc II, or linear algebra, or what? I just want to put together a natural curriculum to follow, and not jump around blindly. What are the tried and true courses?
 
What's your ultimate goal?
 

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