It's just that it is very much a "mathematics for engineers" style course. I think very few of the subjects outlined there give you a flavor for what "real" mathematics is really all about at all (except for algebra, which you do mention).
Apart from the applied stuff you mention, the real core of a mathematics education involves, I think, 4 main areas with significant overlap
Group A:
number theory, graph theory, combinatorics
which shares concepts with
Group B:
Algebra, Topology, complex analysis, differential geometry, metric spaces...etc
which shares concepts with
Group C:
Functional analysis, measure theory
which shares concepts with
Group D:
probability and statistics.
As for the applied math that you mention, you should really need to add vector calculus and I'd highly encourage anyone to take a course on fluid mechanics (from a mathematics department instead of an engineering department) to get a real feel for vector calculus in action.
Apart from the applied stuff you mention, the real core of a mathematics education involves, I think, 4 main areas with significant overlap
Group A: number theory, graph theory, combinatorics
which shares concepts with
Group B: Algebra, Topology, complex analysis, differential geometry, metric spaces...etc
which shares concepts with
Group C: Functional analysis, measure theory
which shares concepts with
Group D: probability and statistics.
As for the applied math that you mention, you should really need to add vector calculus and I'd highly encourage anyone to take a course on fluid mechanics (from a mathematics department instead of an engineering department) to get a real feel for vector calculus in action.