I am starting a postgraduate level Economics course in two months. I will have to go through some kind of a Math Camp before the course, lasting more or less 10 days. Here is my curriculum;

1. REAL ANALYSIS

Topics:

• Sequences and Convergence

• Function on Rn

• Continuity

• Differentiability

• Riemann’s Integral

2. METRIC SPACES & TOPOLOGY

Topics:

• Metrics and Metric Spaces

• Open and Closed Sets

• Compactness

• Connectedness

• Fix Point Theorems

3. LINEAR ALGEBRA

Topics:

• Vector Spaces

• Linear Applications and Matrix Representation

• Matrix Calculus

• Projections

• Eigenvalues and Quadratic Forms

4. OPTIMIZATION

Topics:

• Convex Sets

• Convex and Concave Functions

• Unconstrained Maximization

• Contrained Maximization, Lagrange’s Method and Kuhn-Tucker Theorem

• Dynamic Programming

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Now, I want to prepare as best as I can for this curriculum since success at these coursese will affect bursary levels. I took a few courses at undergraduate level for calculus but just consider I am almost new to these topics and I want to start over from beginning with a good Mathematical mind, want to get these concepts before I begin the curriculum.

What are your suggestions at this point? Should I start from calculus or real analysis? Any advice for some links or lecture notes online?