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This is an average class in every way. The material was interesting at first, but it got a bit drier to me over time. I can appreciate that Complex Analysis is beautiful, but I just don't get that excited because it's pure and unapplied math. Literally everything in this class is just exploring the implications of i^2=-1. The only reference to physics was in the first lecture, when Kraus said that his research on black holes and AdS/CFT correspondence uses complex numbers when it treats time as imaginary. I thought we'd explore applications of complex analysis, so I was a bit disappointed. However, I was doing 114 (acoustics) at the same time, and I got to apply some of the things (including the Euler-Lagrange equations) from 132 to the concept of potentials in 114, which was fun. The textbook is Brown and Churchill's Complex Variables and Applications. It's easy to read and Kraus follows it closely. The tests are moderately hard but I think the curve is generous. The homework problems are helpful. I got too bored to watch the lectures or even read the textbook systematically by week 5, so I just attacked the homework problems and referred to the textbook when I got stuck. If you're taking this because you were unsatisfied with 131 (that's what I did because I had a terrible professor and thought I learned nothing), think again, because this class isn't an extension of 131 the way 105B follows 105A or whatever.
TL;DR: this isn't a difficult class, but you might find it uninteresting.
This is an average class in every way. The material was interesting at first, but it got a bit drier to me over time. I can appreciate that Complex Analysis is beautiful, but I just don't get that excited because it's pure and unapplied math. Literally everything in this class is just exploring the implications of i^2=-1. The only reference to physics was in the first lecture, when Kraus said that his research on black holes and AdS/CFT correspondence uses complex numbers when it treats time as imaginary. I thought we'd explore applications of complex analysis, so I was a bit disappointed. However, I was doing 114 (acoustics) at the same time, and I got to apply some of the things (including the Euler-Lagrange equations) from 132 to the concept of potentials in 114, which was fun. The textbook is Brown and Churchill's Complex Variables and Applications. It's easy to read and Kraus follows it closely. The tests are moderately hard but I think the curve is generous. The homework problems are helpful. I got too bored to watch the lectures or even read the textbook systematically by week 5, so I just attacked the homework problems and referred to the textbook when I got stuck. If you're taking this because you were unsatisfied with 131 (that's what I did because I had a terrible professor and thought I learned nothing), think again, because this class isn't an extension of 131 the way 105B follows 105A or whatever.
TL;DR: this isn't a difficult class, but you might find it uninteresting.
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