Weight of Course Rigor when Transfering?

Im currently a sophmore math major at UH, and plan to transfer into UT Austin as a math major for fall 2019. I have a 4.0 gpa, but I was wondering how much consideration is given to course content already taken when applying. If my current trajectory maintains, then by the time I have transferred I will have completed the following math courses:

Accelerated Calculus I-II (Calc 1,2, and 3 in two semesters), Linear Algebra, Discrete Math, Abstract Algebra, Differential Equations, Intermediate Analysis, Transition to Advanced Mathematics, Differential Geometry I-II

Supposing that I manage to get A’s in my two remaining courses in Spring 2018, will the rigor of my completed coursework give any significant boost to my admission chances?

Yes, this is EXTREMELY strong. Most math majors would not have done Abstract Algebra, Intermediate Analysis, and Differential Geometry their sophomore year. Research UT Austin to present a compelling personal statement that demonstrates your eagerness to go there and you’re set.