What Is Modern Algebra and How Does It Differ from Calculus?

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Modern Algebra, often referred to as Abstract Algebra, focuses on structures such as groups, rings, and fields, differing significantly from the computational nature of Calculus. It emphasizes theoretical concepts rather than practical problem-solving, making it less similar to Calculus II. The perceived difficulty of Modern Algebra varies based on individual mathematical skills and understanding, making it hard to assign a universal difficulty rating. Many suggest consulting a syllabus or academic guidance for a clearer understanding of the course expectations. Overall, Modern Algebra presents a unique challenge distinct from traditional Calculus courses.
duki
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Hey everyone,

I'm looking at taking Modern Algebra next semester. Could someone tell me what its all about? How does it differ from Calculus?

Also, on a scale from 1 - 10, personally how hard is it (assuming Calculus II is a 5)?

Thanks!
 
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Can't you find a syllabus? This is probably a better question for the Academic Guidance forum. If it's what is often called 'Abstract Algebra' (group theory etc.) then it's not much like Calc II. Whether it's harder or not depends completely on your skills. There's not information in a numerical rating.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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