I wrote this text for a one semester course at the sophomore-junior level. Our experience with students
taking our junior physics courses is that even if they’ve had the mathematical prerequisites, they usually need
more experience using the mathematics to handle it eﬃciently and to possess usable intuition about the processes
involved. If you’ve seen inﬁnite series in a calculus course, you may have no idea that they’re good for anything.
"Calculus and its applications: 2.1" - Using first derivatives to find maximum and minimum values and sketch graphs have objective: find relative extrema of a continuous function using the first-derivative test, sketch graphs of continuous functions.
"Calculus and its applications: 2.2" - Using Second derivatives to find maximum and minimum values and sketch graphs have objective: find the relative extrema of a function using the second-derivative test, sketch the graph of a continuous function.
This appendix provides an atlas of epicyclic gear trains classiﬁed according to the number of degrees of freedom, the number of independent loops, and the vertex degree listings. Both labeled graphs and typical functional schematic diagrams are sketched.
This paper presents a method for parsing associative Lambek grammars based on graphtheoretic properties. Connection graphs, which are a simplified version of proof-nets, are actually a mere conservative extension of the earlier method of syntactic connexion, discovered by Ajduckiewicz . The method amounts to find alternating spanning trees in graphs. A sketch of an algorithm for finding such a tree is provided. Interesting properties of time-complexity for this method are expected.