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What classes did you mathematics majors take?

  1. Sep 25, 2004 #1
    I'm a freshman mathematics major (I've heard that you don't officially have a major until your Junior year, but that's what it will be). I go to a local community college and I'll be transferring to a regular university after my sophomore year.

    I know that different programs will have different classes, but I'm curious about what classes you folks took. At my CC I have to take:

    Calc I
    Calc II
    Calc III
    Calc IV
    Linear Algebra
    Diff Equations
    Chem I
    Chem II
    Calc based Physics I
    Calc based Physics II

    I was wondering what years 3 and 4 would have in store for me. I searched and didn't find anything, so if this is a repost, forgive me.
  2. jcsd
  3. Sep 25, 2004 #2


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    I was an Engineering major in college. I took :

    Math I : sequences and series
    Math II : complex algebra
    Math III : differential equations
    Math IV : vector spaces (or linear algebra, or something like that)

    I think that was it.
  4. Sep 29, 2004 #3
    I was a double major in Physics and Mathematics for the longest time (I finally settled with physics because the whole conflict with spherical coordinates between the two professions got to me).

    I took Mathematical Statistics and Abstract Vector Spaces.

    In next few semesters, I should be taking Intro to Analysis, Discrete Math, Senior level PDE and down the road, Topology.
  5. Sep 30, 2004 #4

    Not in all universities. At mine you have to declare your major as a freshmen, you cannot wait because you start taking Classes in your major right away, there is no undeclared or anything like that. BUt most colleges are like that were you typically don't declare a major until junior year.

    I'm currently declared as a physics major, but i plan on adding a Math double major, my planned math courses are (including advanced electives in my major):

    Calc I, II, III, IV (quarter system here)
    Linear Analysis I, II
    Vector Analysis
    Combinatorial Mathematics
    INtro to Analysis I, II, III
    Computational Mathematics I,II
    Linear Algebra II, III
    Probability & Stat fo engineers & scientists
    Statistical Analysis for Engineers & Scientists
    Introduciton to Differential Geometry and Topology
    Partial Differential Equations
    Introduction to Dynamical Systems

    Thats for the full degree, all of my amthematics coursework, freshmen-senior year. For my physics major my coursework (minus required mathematics classes that were listed above) will be:

    General Physics I, II, III
    Modern Physics I, II
    Physics on the Computer
    Instrumentation in Experimental Physics
    Electrical Measurements Laboratory
    Thermal Physics I, II
    Analytical Mechanics I, II
    Quantum Physics Laboratory I, II, III
    Quantum Mechaincs I, II
    Electromagnetic Fields and Waves I, II
    Theoretical Physics
    Nonlinear Dynamical Systems
    Special Theory of Relativity

    And on top of all that, 60 quarter units of general education requirements. So i'm not entirely sure about the mathematics double major, but it is something i want to do.
  6. Sep 30, 2004 #5
    Thanks for the posts, everyone. franznietzsche, I'll be right there with you. I'm planning on doing a double in math and physics myself. At my CC they're the same program, so I just declared math.
  7. Oct 2, 2004 #6
    It really depends on your college. Here are the requirements (not including general reqs, which there are a bunch of) for my college:

    MTH 141 College Calculus I
    MTH 142 College Calculus II
    MTH 241 College Calculus III
    MTH 301 Basic Analysis and Proofs
    MTH 306 Introduction to Differential Equations
    MTH 309 Introductory Linear Algebra
    MTH 419 Introduction to Algebra I
    MTH 420 Introduction to Algebra II
    MTH 431 Introduction to Real Variables I
    MTH 432 Introduction to Real Variables II
    Three 300/400-level mathematics courses (not MTH 417)
    Four 300/400-level courses in mathematics or computer science (not MTH 417)
  8. Oct 2, 2004 #7
    Looks like I have to take:

    At my community college:

    1713-Calculus I
    1723-Calculus II
    2733-Calculus III
    2743-Calculus IV
    3113-Intro to Linear Algebra
    3253-Differential Equations

    At University:

    3053-Foundations of Mathematics
    3353-Differential Equations II (elective)
    4633-Advanced Calculus I
    4643-Advanced Calculus II
    3213-Mathematical Writing
    4953-Elementary Topology (elective)

    Plus other requirements.
  9. Oct 3, 2004 #8
    Foundations of Mathematics
    Diff. Eq. and Linear Alg.
    Linear Algebra
    Advanced Calculus
    Game Theory
    Complex Analysis
    Number Theory
    Modern Algebra
    Independent study on Rings and Fields
    Linear Algebra (2nd course on it)

    General Chemistry I and II w/labs
    Organic Chemistry I and II w/labs
    Physical Chemistry I and II w/labs
    Inorganic Chemistry II
    Intro to Micro Economics
    Intro to Macro Ecnomics
    Micro Econ theory
    Macro Econ Theory
    INtro to spanish I and II
    Intermediate spanish I and II
    Modern Enlightment
    Ancient and Medieval thought
    Intro to English
    Women's Literature
    Intro to Theology
    Global Poverty and Justice
    Film Analysis
    Intro to Philosophy
    Gen Bio I w/lab
    Themes in Modern World History
    The Roman Empire

    I can't believe I took all that so far. I still have to take 1 more math class, 1 more econ class, 1 more chem class w/lab, another social science, advanced philosophy, and ethics next semester.
  10. Oct 3, 2004 #9


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    Here for comparison is an ancient set (1951-1955)

    College Algebra (1st semester Freshman year)
    College Trigonometry (HS trig not considered sufficient) (1st semester Freshman year)
    Analytic Geometry (2nd semester Freshman year)
    Calculus I and II (Sophomore year)
    Modern Algebra (2nd semester Junior year)
    Number Theory (2nd Semester Junior Year)
    Ordinary Differential Equations I and II (Junior Year)
    Advanced Calculus I and II (Senior year)
    Numerical solutions of differential equations (honors thesis) (Senior Year)
    Celestial Mechanics (honors course) (Senior Year)

    and in physics,
    Introductory Physics I and II
    Heat and Thermodynamics
    Electricity and Magnetism
  11. Oct 3, 2004 #10
    Double major mathematics/physics. I took.

    General physics I (Mechanics & Thermodynamics)
    General physics II (Elektromagnetism & Waves)
    Classical electrostatics, magnetostatics, elektrodynamics
    General Relativity
    Introduction to quantum mechanics (Schrödinger wave formalism)
    Classical mechanics (Hamilton/Lagrange formalism)
    Solid state physics (Diffraction basically)

    General chemistry I
    General chemistry II

    Calculus I (Single variable)
    Calculus II (Multiple variable)
    Calculus III (Functional analysis)
    Calculus IV (Theory of operators)
    Geometry & Linear Algebra I (Vector spaces, analytical geometry)
    Geometry & Linear Algebra II (Linear operators)
    Intoduction to Algebra (Group theory)
    Algebra I (Ring, Module & Representation theory)
    Affine & Projective Geometry
    Introduction to topology
    Introduction to probabilty theory, including statistics (Measure theory)
    Numerical Linear Algebra

    Programming I (Java)

    That's about it
  12. Oct 3, 2004 #11
    Was this an elective Dimitri?
  13. Oct 3, 2004 #12
    what am I, the only person on this board to major in chemistry and math instead of math and physics? As a very amateur mathematician, I have to say physics turns me completely off.
  14. Oct 3, 2004 #13
    I'm majoring in math and computer science.
  15. Oct 3, 2004 #14


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    Interesting...I'm noticing that Calc I-IV are different for different universities. I always assumed that would be pretty standard.

    At the university I attended, Calc I and II were just numbered, no names to go with them. Calc III was multivariable calc (that's the highest calc course I took...I was not a math major). Calc IV was differential equations (I nearly took it for fun, and then the bump to my head got better). Since I was also attempting to major in chemistry, I also was required to take Linear Algebra, which was also required for the math majors (dropped chem to a minor when I realized it wasn't physically possible to complete the required number of classes to graduate in 4 years even with permission to exceed the maximum number of credits every semester). I don't know what they took after that. I only knew one math major who was normal enough to talk to :tongue:, and since we roomed together Sophomore year, we weren't on a speaking basis with one another until after graduation :tongue2:
  16. Oct 3, 2004 #15
    Hey, I'm normal! I like fishing, hiking, football, basketball, and I just happen to enjoy theoretical physics. ;)
  17. Oct 3, 2004 #16


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    I didn't say there weren't normal people in math, they're just harder to find. :wink: My roommate (we're best friends again...just took a few years to recover from being roommates...sometimes friends shouldn't live together) is pretty normal, and her husband has a PhD in math, and he's pretty normal too. At least as normal as someone willing to be friends with me can be. :rofl:
  18. Oct 4, 2004 #17

    Not normal. Better than normal, but still not normal.
  19. Oct 4, 2004 #18
    It was required. God know why, I don't think I learned any real programming skills there.
  20. Oct 4, 2004 #19
    For those who have already taken these Mathematics courses and such, what grades did you receive? Just out of pure curiosity.
  21. Oct 4, 2004 #20
    Calculus I and II I've gotten an A in, easily. Calculus III, in which I'm in now, I don't think I'll be so lucky. Different instructor, so I have to get used to his way. I'm sure you know how it is.

    Dimitri, I don't see how that would be required for you. What does programming have to do with your majors?
  22. Oct 5, 2004 #21
    Well, half-way into the semester I have a 100 in Calc I. It's pretty easy though.
  23. Oct 7, 2004 #22
    I don't understand the Calc class breakdown either...

    For me it is/was:

    Calculus 1 (Limits, Differentiation, some Integration)
    Calculus 2 (Inverse Functions, Integration theory, L'Hospital's, Series)
    Calculus 3 (Multivariable Calculus)
    Calculus 4 / Also called Ordinary Differential equations

    That's just a quick breakdown of course, there was other things taught in all those classes, but those were major topics.

    I'm seeing Calculus 4 and Differential equations classes on the same schedule? Do they teach ODE's and PDE's in one class or something?
  24. Oct 7, 2004 #23
    That's exactly the way they have it at my school.
  25. Oct 8, 2004 #24
    I'm not sure. I've asked some of the students what happens with their different classes and they just scoff at me being in Calc I.

    "You just worry about passing Calc I"

    I need to bring my bat to school tomorrow. :tongue2:
  26. Oct 11, 2004 #25
    At my school ordinary differentail equations comes directly after calc. 3. I did not know that it was also classified as calc. 4. I do plan on taking it though, even though I do not need to. I am going to take it over the summer just for fun.
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