Determining which branch of mathematics is harder between engineering math and physical chemistry math can be subjective, as it depends on an individual's strengths, background knowledge, and personal preferences. However, I can provide some general insights about the two subjects.
Engineering Mathematics: Engineering mathematics typically focuses on mathematical concepts and techniques that are relevant to engineering disciplines. It includes topics such as calculus, differential equations, linear algebra, probability theory, and numerical methods. The difficulty level of engineering mathematics can vary depending on the specific course or program, but it is generally considered challenging due to its emphasis on applying mathematical principles to solve real-world engineering problems.
Physical Chemistry Mathematics: Physical chemistry involves the study of the physical and chemical properties of matter and the principles that govern chemical reactions. Mathematics is an essential tool in physical chemistry for describing and understanding these phenomena. Physical chemistry math often involves advanced topics such as quantum mechanics, statistical mechanics, thermodynamics, and spectroscopy. These areas require a strong mathematical foundation, including differential equations, linear algebra, and calculus.
Comparing the Difficulty: Both engineering math and physical chemistry math can be demanding, but the level of difficulty may vary depending on the individual's background and interests. Engineering math may involve more practical applications and focus on specific engineering problems, while physical chemistry math may delve into more theoretical and abstract concepts.
In general, physical chemistry math may require a deeper understanding of mathematical principles and their application to complex chemical systems. Quantum mechanics, for example, is known for its challenging mathematical formalism. However, engineering math courses can also present significant challenges, especially when dealing with complex systems, control theory, or advanced numerical methods.
Ultimately, the perceived difficulty of these subjects can vary among individuals. Some may find engineering math more challenging due to its practical applications and the need to solve engineering-specific problems, while others may struggle with the abstract concepts and advanced mathematics involved in physical chemistry. It's important to approach both subjects with dedication, study regularly, and seek help when needed to overcome any challenges.