This was a particularly enthusiastic group of students and I had a great time teaching this class.
A big thank you to everyone who participated for your enthusiasm, attention and patience!
This was the honors calculus II class in which the aim was to broadly cover the following topics :
Transcendental functions, methods of integration, parametric equations, vector algebra and its applications to analytic geometry,
Introduction to partial derivatives and multiple integration.
We used the textbook Calculus: Concepts and Contexts (KU edition) (4th edition) by John Stewart and covered chapters 8,9,10,11 and 12.1-12.6 and 12.9 and some appendices. The course was more or less in sync with the Math 122 course, in particular the homework and tests. Apart from the syllabus above, we also discussed counting, in particular countability of the rationals and uncountability of the reals. Further, we linked this up with random number generation and the students did a project on testing random numbers from various software. In the end, others (Prof. Martin, Prof. Peterka) also discussed combinatorial properties of partitions and the ε-δ definition of limits. The class met everyday and homework as due twice a week (Tuesdays and Thursdays). There were 38 students in the class and the composition was largely engineering undergraduates, mainly sophomores, a good number of freshmen and a few juniors.