Taken Course History
MATH 232 Introduction to Complex Analysis
by pinarongan on Jun.14, 2010, under Taken Course History
The field of complex numbers, the extended complex plane and its topological properties, series of complex functions, M-test, power series, analytic functions, elementary functions and their mapping properties.
MATH 231 Calculus for Mathematics Students III
by pinarongan on Jun.14, 2010, under Taken Course History
Vector calculus, functions of several variables, directional derivatives, gradient, vector-valued functions, divergence and curl, Taylor’s theorem, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green’s theorem.
MATH 224 Linear Algebra
by pinarongan on Jun.14, 2010, under Taken Course History
Vector spaces, linear transformations, rank and nullity, change of basis, canonical forms, Euclidien spaces, Gram-Schmidt orthogonalization method.
MATH 202 Differential Equations
by pinarongan on Jun.14, 2010, under Taken Course History
First-order differential equations, second-order linear equations, Wronskian, change of parameters, homogeneous and non-homogeneous equations, series solutions, Laplace transform, systems of first-order linear equations, boundary value problems, Fourier series.
MATH 201 Matrix Theory
by pinarongan on Jun.14, 2010, under Taken Course History
Systems of linear equations, Gaussian elimination, matrix algebra determinants, inverse of a matrix, Cramer’s rule, rank and nullity, the eigenvalue problem, introduction to linear programming.
MATH 162 Discrete Mathematics
by pinarongan on Jun.14, 2010, under Taken Course History
Introduction to basic problems, sums and recurrences, elementary number theory, properties of binomial coefficients, special numbers, discrete probability theory, generating functions.
MATH 132 Calculus for Mathematics Students II
by pinarongan on Jun.14, 2010, under Taken Course History
Riemann integration, fundamental theorem of calculus, techniques and applications of integration, improper integrals, basic transcendental functions, infinite series, convergence tests, Taylor polynomials, power series.
MATH 131 Calculus for Mathematics Students I
by pinarongan on Jun.14, 2010, under Taken Course History
Fundamental properties of real numbers, sequences and subsequences, Bolzano-Weierstrass theorem, limits of functions, continuity, intermediate and extreme value theorems, differentiation and its applications, mean value theorems.
MATH 111 Introduction to Mathematical Structures
by pinarongan on Jun.14, 2010, under Taken Course History
Prepositional logic, quantification, methods of proof, sets, relations, functions, operations, equivalence relations, cardinality, introduction to algebraic structures.