A brief introduction to analytical geometry. The differential and integral calculus for algebraic, logarithmic, exponential and trigonometric...
The application of non-calculus techniques in modeling 'real world' problems in business, psychology, sociology, political science and ecology. The...
The elements of the calculus of one variable with illustration and emphasis on its application in the biological sciences. The elementary functions,...
This is a theoretical course intended primarily for students who expect to pursue further studies in mathematics and its applications. Topics include...
Topics include inverse functions, inverse trigonometric functions, hyperbolic and inverse hyperbolic functions, indeterminate forms and l'Hopital's...
The algebra of sets. Equivalence relations, mappings and inverse mappings. Review of the real number system. Countable and uncountable sets. Partially...
Techniques of integration, introduction to differential equations and the elements of multivariate calculus. Illustrations and emphasis will be on...
This course provides an overview of and practical experience in utilizing algorithms for solving numerical problems arising in applied sciences....
This course provides an introduction to linear algebra in Euclidean space. Topics covered include: N-dimensional vectors, dot product, matrices and...
This course provides an introduction to linear algebra and vector spaces. Topics covered include: N-dimensional vectors, inner products, matrices and...
First order equations, linear equations of second and higher orders, phase plane, difference equations, introduction to power series methods, Laplace...
Infinite sequences and series of numbers, power series, tests for convergence; Taylor's theorem and Taylor series for functions of one variable;...
Spherical and cylindrical polar coordinate transformations; multiple integrals; line integrals; vector and scalar fields including the gradient,...
Solution of differential equations which arise from problems in engineering. Linear equations of first and higher order; systems of linear equations;...
First order linear systems and their general solution by matrix methods. Introduction to nonlinear systems, stability, limit cycles and chaos using...
Symmetric groups; introduction to group theory; groups, subgroups, normal subgroups, factor groups, fundamental homomorphism theorem. Introduction to...
Complex vector spaces. Direct sum decompositions, Cayley-Hamilton theorem, spectral theorem for normal operators, Jordan canonical form of a matrix.
Wave equation, heat equation, Laplace equation, linearity and separation of variables; solution by Fourier series; Bessel and Legendre functions;...
Metric spaces and normed linear spaces. Fixed point theorems with applications to fractals. Uniform continuity. Riemann-Stieltjes integration.
Mathematical models. Linear programming and sensitivity analysis. Network analysis: shortest path, maximum flow and minimal spanning tree problems....