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May 19th, 2013, 09:17 PM  #1 
Newbie Joined: May 2013 Posts: 7 Thanks: 0  Take Vector Calculus and Mathematical Reasoning at the same
Hi everyone! Nice to meet you. I am new to this forum. My name is Valentine. Next Fall Quarter I will take Vector Calculus and Mathematical Reasoning. I have been taking 4 grad nonmathematical courses and one mathrelated course for the last two quarters (Calculus 2 and now Multivariable Calculus). In the summer I will take Linear Algebra first (allegedly the easy course) and then Differential Equations. For the Fall quarter, I plan to take 3 nonmathematical grad courses, 1 lower division (Vector Calculus) and 1 Upper Division (Mathematical Reasoning) Mathrelated courses. What do you think? Very difficult? Normal? Any recommendations? Mathematical Reasoning This course uses a variety of topics in mathematics to introduce the students to rigorous mathematical proof, emphasizing quantifiers, induction, negation, proof by contradiction, naive set theory, equivalence relations and epsilondelta proofs. Required of all departmental majors. Vector Calculus Change of variable in multiple integrals, Jacobian, Line integrals, Green’s theorem. Vector fields, gradient fields, divergence, curl. Spherical/cylindrical coordinates. Taylor series in several variables. Surface integrals, Stoke’s theorem. Gauss’ theorem. Conservative fields. (Credit not offered for both Math 20E and 31CH.) Prerequisites: Math 20C (or Math 21C) or Math 31BH with a grade of C– or better. Thanks a lot!! 
May 20th, 2013, 05:40 AM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Take Vector Calculus and Mathematical Reasoning at the s
Hi! Welcome to the forums! Quote:
Quote:
Linear Algebra is not hard in the sense that it does not build on the calculus series (at least, not very much) but don't kid yourself, it's a real class not a pushover. I don't remember DiffEq well enough to give advice.  
May 20th, 2013, 01:05 PM  #3  
Newbie Joined: May 2013 Posts: 7 Thanks: 0  Re: Take Vector Calculus and Mathematical Reasoning at the s
[quote=CRGreathouse]Hi! Welcome to the forums! Quote:
Quote:
Linear Algebra is not hard in the sense that it does not build on the calculus series (at least, not very much) but don't kid yourself, it's a real class not a pushover. I don't remember DiffEq well enough to give advice. [/quote:1oyd8y90] Hi. Sorry about the misunderstandings. I am a graduate student in International Relations and one of my concentration areas is International Economics. Since I might pursue a PhD in economics (or a master), I am taking the Math requirements for economics (Multivariable Calculus now, then, in the summer, Linear Algebra required before taking Mathematical Reasoning, then Differential Equations, and in the Fall, Vector Calculus and Mathematical Reasoning). So I am a graduate student taking undergraduate Math courses. I am required to take Linear Algebra before taking Mathematical Reasoning. I do not know why it was designed that way, but I cannot do it in a different way. Do you think Vector Calculus is way too difficult?  
May 20th, 2013, 01:49 PM  #4  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Take Vector Calculus and Mathematical Reasoning at the s
Hey, another math + econ guy! Quote:
Quote:
 
May 20th, 2013, 03:22 PM  #5 
Newbie Joined: May 2013 Posts: 7 Thanks: 0  Re: Take Vector Calculus and Mathematical Reasoning at the s
Thank you! I've been having some issues with proofs, so I was a little "scared" of taking Mathematical Reasoning at the same time as V. Calculus, which is supposed to be the hardest course of lower division. But I have been told that M. Reasoning is relatively easy. Hope to hear more from you! 
May 20th, 2013, 07:17 PM  #6  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Take Vector Calculus and Mathematical Reasoning at the s Quote:
 

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