<p>Real analysis 1&2
Algebraic structures 1&2
Topology 1&2 (2 maybe be algebraic topology, I'm not sure though)
Linear algebra
Discrete math
Differential equations
Functions of a complex variable</p>
<p>Common employment destinations for math majors:</p>
<p>Finance: add courses in probability, statistics, economics, finance
Actuarial: see <a href=“http://www.beanactuary.com”>http://www.beanactuary.com</a>
Computers: add introductory CS sequence, advanced CS courses like operating systems, algorithms, networks, databases
Teaching high school math: teaching credential as specified in the region you want to teach in
University research and/or teaching: continue on to a PhD program in math</p>
<p>In terms of what types of jobs you can get, I’m not exactly qualified to tell you since I’m in undergrad myself. My impression is that a lot of business/econ/finance type employers like math majors, in addition to software companies (provided you have some background in coding). That being said, I would very strongly urge you to take classes in statistics, computer science, and maybe economics/business to supplement your undergraduate coursework if you have the time to do so. </p>
<p>EDIT: With a philosophy minor and your pure math background, coursework in computer science would likely be attractive to prospective employers for programming/software engineering positions.</p>