If other important factors (e.g. Research quality) are about the same, does an academic job* candidate with TA experience in many different upper division classes (e.g. Abstract algebra, real analysis and many other elective classes) have a better chance than a candidate with TA experience only in elementary lower division classes (e.g. Calculus 1 and 2)? How significant is this factor?
I'm currently one year into a math Ph.D. program and is mostly financially supported by TA work. During my first year my TA experience is limited to calculus 1 and 2 (single variable)-It's both the department's preference and my personal preference for a first year student. I'm wondering if it's a good or bad idea to keep it that way(I'll have choice either way). Does it worth investing some extra time to TA some more challenging classes?
*Here all post-doc. or faculty job, whether research or teaching orientated, are included, if your answer depends on the type of job, address it.