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Grades in math courses, in order, were:

Calc Sequence: A's

Diff Eq: A

Proofs (required): A

Linear Algebra: A

Combinatorics: B+

Abstract Algebra: C

Intro Analysis 1: C+

Complex Variables: B+

Intro Analysis 2: B+

Geometry:A

The C in Abstract Algebra and C+ in Analysis are really making my transcript look weak.

I have one year left, and I have narrowed down my options for the fall to the following:

Modern Analysis: undergrad and grad levels offered

Algebra 1: grad level

Topology: undergrad

Numerical Analysis: undergrad

What should I do to strengthen my application?

**Option 1:**

Modern Analysis: grad level

Toplogy

Numerical

**Option 2:**

Algebra 1: grad level

Modern Analysis: undergrad

Topology

Clearly, the second one would strengthen my application, but I run a greater risk of doing poorly, lowering my gpa, and forfeiting my chance of writing an honors research thesis with a professor, which in the end would just be embarrassing because I've already talked to my professor about it.

What would you do in this situation? I'm a better student now, and I'll be studying for the next two months. I'm thinking it might be worth the risk.

Any advice?