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.
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.
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.
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 Mathematica 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 Optics 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.
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.
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)
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.
Calc3 Foundations of Mathematics Diff. Eq. and Linear Alg. Combinatorics Linear Algebra Advanced Calculus Game Theory Complex Analysis Number Theory Modern Algebra Independent study on Rings and Fields Topology Geometry 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.
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 Optics Electricity and Magnetism
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) Thermodynamics Solid state physics (Diffraction basically) Astronomy Electronics 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
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.
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:
Hey, I'm normal! I like fishing, hiking, football, basketball, and I just happen to enjoy theoretical physics. ;)
I didn't say there weren't normal people in math, they're just harder to find. 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:
For those who have already taken these Mathematics courses and such, what grades did you receive? Just out of pure curiosity.
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?