- #1
ohmymath!
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My university is about to start the enrollment phase for Fall Semester. I have grown weary of searching 'good' Mathematics curriculum on Google for the past few days, so I finally decided to bump into 'Physics Forum' to get academic guidance. I am a Mathematics major and will be entering my sophomore year soon. I will, 'technically' speaking, become junior by the end of Fall Semester. Though Mathematics major is a four year degree over here in my university but I would be finishing it within 3 years. This, along with the fact that our university is poor at providing good academic guidance, I have decided to plan well in advance which courses I would/should take.
Kindly look at the following plan and tell me if it will provide good enough foundation to let me get into a good grad school (Mathematics). It would be great if anyone over here could also discuss from the viewpoint of Cambridge Mathematical Tripos Part III.
1st Year (Freshman): (Taken)
Calculus - I
Calculus - II (vector)
Linear Algebra - I
Differential Equations
Logic
Programming: C++ / MATLAB / VB
+Compulsory University Courses and few electives
2nd Year (Sophomore/Junior) Year:
Fall: (About to take)
Physics - I (Mechanics)
Calculus - III (Advanced level)
Real Analysis - I
Probability
Number Theory
Discrete Mathematics
Spring: (Planned)
Physics - II (Electricity and Magnetism)
Statistics
Real Analysis - II
Set Theory
PDEs
Topology / Algebraic Topology
Summer: (Planned)
Linear Algebra - II
Independent Study Course
3rd Year (Junior/Senior) Year:
Fall: (Planned)
Physics - III (Heat and Thermodynamics)
Algebra-I
Numerical Analysis / Advanced Statistical Analysis
Graph Theory /or/ Waves and Optics /or/Astrophysics
Functional Analysis
Quantum Mechanics - I
Spring: (Planned)
Physics - IV (Relativity and Modern Physics)
Research Project - I
Algebra-II
Complex Variables
Combinatorics /or/ Quantum Mechanics - II
Fuzzy Logic
Summer: (Planned)
Research Project - II
Kindly look at the following plan and tell me if it will provide good enough foundation to let me get into a good grad school (Mathematics). It would be great if anyone over here could also discuss from the viewpoint of Cambridge Mathematical Tripos Part III.
1st Year (Freshman): (Taken)
Calculus - I
Calculus - II (vector)
Linear Algebra - I
Differential Equations
Logic
Programming: C++ / MATLAB / VB
+Compulsory University Courses and few electives
2nd Year (Sophomore/Junior) Year:
Fall: (About to take)
Physics - I (Mechanics)
Calculus - III (Advanced level)
Real Analysis - I
Probability
Number Theory
Discrete Mathematics
Spring: (Planned)
Physics - II (Electricity and Magnetism)
Statistics
Real Analysis - II
Set Theory
PDEs
Topology / Algebraic Topology
Summer: (Planned)
Linear Algebra - II
Independent Study Course
3rd Year (Junior/Senior) Year:
Fall: (Planned)
Physics - III (Heat and Thermodynamics)
Algebra-I
Numerical Analysis / Advanced Statistical Analysis
Graph Theory /or/ Waves and Optics /or/Astrophysics
Functional Analysis
Quantum Mechanics - I
Spring: (Planned)
Physics - IV (Relativity and Modern Physics)
Research Project - I
Algebra-II
Complex Variables
Combinatorics /or/ Quantum Mechanics - II
Fuzzy Logic
Summer: (Planned)
Research Project - II