What math topics should one master for first year physics?

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SUMMARY

To excel in a first-year physics sequence, mastery of specific math topics is essential. Key areas include algebra, trigonometry, calculus (primarily derivatives and some integration), and vectors. Understanding vector operations such as addition, subtraction, decomposition, and magnitude calculation is crucial. Resources like mathispower4u.com provide comprehensive coverage of these topics from high school through college-level mathematics.

PREREQUISITES
  • Algebra proficiency
  • Trigonometry knowledge, including SOHCAHTOA
  • Calculus 1 understanding, focusing on derivatives
  • Basic linear algebra concepts related to vectors
NEXT STEPS
  • Review algebraic manipulation techniques
  • Study trigonometric functions and their applications in physics
  • Learn calculus concepts, particularly derivatives and their physical interpretations
  • Explore vector operations and their significance in physics problems
USEFUL FOR

Students preparing for first-year physics courses, particularly those in honors sequences, as well as educators seeking to guide learners in essential mathematical foundations for physics.

astroman707
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I’ll be taking the year long physics sequence at my college this fall and I want to know what specific math topics I should master, so that I can conquer my first year of physics. I’m planning to brush-up on any necessary topics from algebra, through precalc, and including calc 1. It’s an honors sequence, so I’m told it’s mostly problem solving and less concepts; I’m not sure if that makes a difference. Thanks!
 
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Algebra, trig, calculus (mostly derivatives, but some integration), and vectors. Sometimes people are exposed to vectors for the first time in physics, but it's also a linear algebra thing. Mostly you will be adding/subtracting vectors, decomposing vectors in a coordinate system, finding the magnitude of a vector and its angle in a given coordinate system, etc.

You will be mostly prepared if you are at least an expert at algebra and trig. I can't tell how much time I've spent teaching algebraic manipulation and SOHCAHTOA (which is fine, I don't mind, but generally its material that people should already have learned).
 
Check out this site mathispower4u.com. It covers all the math you’ll need from first year high school,to first year college ie calculus 1,2,3 Linear Algebra, and differential equations.
 

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