- Feb 3, 2005
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I'm trying to pick a math class for next semester (freshman). I'm currently taking Calc 2, and am not doing so great in it (enough to get a C, but I have a lot of trouble in the class and am only passing because of the curve). So, I'm looking to take the easiest math class that will fulfill what I need for my major (Computer Science). So, here's a list. If you have any comments or recommendations on what will likely be easiest, let me know:
1. Linear Algebra for Undergraduates - Intro to the theory of real vector spaces. Coordinate systems, linear dependence, bases. Linear transformations and matrix calculus. Determinants and rank. Eigenvalues and eigenvectors.
2. Calc 3 - Elementary geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; multiple integration.
3. Intro to Differential Equations with Applications - Ordinary differential equations and methods for their solution, including series methods and the Laplace transform. Applications of differential equations. Systems, stability, and numerical methods. Partial differential equations of mathematical physics, Fourier series.
4. Intro to Probability and Statistics - Elementary concepts of probability and statistics. Combinatorics, conditional probability, independence, random variables, discrete and continuous distributions, moments. Statistical inference, point estimation, confidence intervals, test of hypotheses. Applications to social, behavioral, and natural sciences.
5. Intro to Mathematical Reasoning - Elementary logic, techniques of proof, basic set theory, functions, relations, binary operations, number systems, counting. Bridges the gap between elementary and advanced courses.
6. Number Theory - Numbers and their representation, divisibility and factorization, primes and their distribution, number theoretic functions, congruences, primitive roots, diophantine equations, quadratic residues, sums of squares.
I don't know if this helps anyone, but I'm currently at Indiana University (Bloomington).
1. Linear Algebra for Undergraduates - Intro to the theory of real vector spaces. Coordinate systems, linear dependence, bases. Linear transformations and matrix calculus. Determinants and rank. Eigenvalues and eigenvectors.
2. Calc 3 - Elementary geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; multiple integration.
3. Intro to Differential Equations with Applications - Ordinary differential equations and methods for their solution, including series methods and the Laplace transform. Applications of differential equations. Systems, stability, and numerical methods. Partial differential equations of mathematical physics, Fourier series.
4. Intro to Probability and Statistics - Elementary concepts of probability and statistics. Combinatorics, conditional probability, independence, random variables, discrete and continuous distributions, moments. Statistical inference, point estimation, confidence intervals, test of hypotheses. Applications to social, behavioral, and natural sciences.
5. Intro to Mathematical Reasoning - Elementary logic, techniques of proof, basic set theory, functions, relations, binary operations, number systems, counting. Bridges the gap between elementary and advanced courses.
6. Number Theory - Numbers and their representation, divisibility and factorization, primes and their distribution, number theoretic functions, congruences, primitive roots, diophantine equations, quadratic residues, sums of squares.
I don't know if this helps anyone, but I'm currently at Indiana University (Bloomington).
