- #1
nosfnosf
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Hello,
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
----------------------------------------------------------------------
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?
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
----------------------------------------------------------------------
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?