Trying to fill large gaps in my math education

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SUMMARY

The discussion centers on a 21-year-old physics undergraduate seeking to address significant gaps in their foundational math education from grades 6 to 12. Despite proficiency in college-level calculus, differential equations, and linear algebra, the individual struggles with basic concepts in algebra, geometry, and graphical functions, which hinder their physics studies. Recommendations include reviewing Algebra 1, Algebra 2, and high school Geometry, as well as utilizing a solid Pre-Algebra textbook to reinforce understanding. The consensus emphasizes that revisiting these subjects can enhance comprehension and retention.

PREREQUISITES
  • Understanding of basic algebraic concepts
  • Familiarity with geometric principles
  • Knowledge of functions and their graphical representations
  • Experience with calculus, differential equations, and linear algebra
NEXT STEPS
  • Research effective Pre-Algebra textbooks for foundational math skills
  • Review Algebra 1 and Algebra 2 concepts through online resources or textbooks
  • Study high school Geometry to strengthen spatial reasoning and visualization
  • Practice graphical representation of functions to improve understanding
USEFUL FOR

This discussion is beneficial for physics undergraduates, students with gaps in their math education, and anyone looking to strengthen their foundational math skills for advanced studies in science and engineering.

J1998
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I am currently 21 years old in my 4th of 5 years of physics undergrad (switched into physics). I have massive gaps in the math education I should have gotten from 6th to 12th grade because I was a completely unmotivated student back then. Although I have done well in calculus, diff eqns and linear algebra in college, my lack of a strong foundation in very basic math has really started to cause me trouble in my physics classes.

Mainly I have trouble seeing functions graphically, recalling concepts in algebra and geometry, and things to do with linearity. Surely this is a common problem so I was wondering if anyone had any recommendations for textbooks perhaps that are written for people like me.
 
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j1998, what you describe is difficult to understand. Algebra 1, Algebra 2, and high school Geometry should fill-in what might be missing quite well for the grade 6 to grade 12 Mathematics abilities. Maybe a good Pre-Algebra textbook can help. Have you considered reviewing Algebra 1 & 2 on your own? Geometry also on your own? You can learn things better the second (and third) time through, than during the first time through.
 

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