Systems of linear equations, determinants, vectors, geometry, linear transformations, matrices and graphs, number fields, applications. Lect: 3...

This course covers the fundamentals of discrete mathematics with a focus on proof methods. Topics include: propositional and predicate logic, notation...

Basic Algebra, finite series, coordinate geometry, trigonometric functions, radicals and exponents, exponential and logarithmic functions, and a basic...

Factoring and Fractions. Functions (linear, quadratic, simple trigonometric, exponential and logarithmic). Differential calculus: limits, tangent...

Limits and continuity. Differentiation with applications. Newton-Raphson method. Integration; the Fundamental Theorem of Calculus. Linear Algebra:...

Limits, continuity, differentiability, rules of differentiation. Absolute and relative extrema, inflection points, asymptotes, curve sketching....

Systems of linear equations and matrices. Determinants. Vector spaces. Inner product spaces. Eigenvalues and eigenvectors. Lect: 4 hrs./Lab: 1 hr. ...

This course is an introduction to fundamental mathematical techniques which are used frequently in Economics. The first part of the course covers some...

Calculus of functions of one variable and related numerical topics. Derivatives of algebraic, trigonometric and exponential functions. Differentiation...

This course is a continuation of Discrete Mathematics I. Topics include: recursion, induction, regular expressions and finite state automata,...

Implicit functions and differentiation. Related rates, concavity, inflection points and asymptotics. Optimization. L'H

Integration techniques. L'H

Brief Introduction to Statistics. Description of Numerical Data. Elements of Probability Theory. Discrete Probability Distribution. (Hyper-geometric,...

Ordinary differential equations with applications, Laplace transforms, linear systems of differential equations with applications. Lect: 3 hrs./Lab:...

Integration techniques, improper integrals, sequences, infinite series, power series, partial derivatives, maxima and minima. Lect: 3 hrs./Lab: 1 hr....

Second and higher order differential equations with Laplace Transforms, systems of differential equations, Fourier series and applications to electric...

Sets and relations, proposition and predicate logic, functions and sequences, elementary number theory, mathematical reasoning, combinatorics, graphs...

Fractals; drawing fractals, fractal dimension, Julia sets. Discrete dynamical systems; Logistic equation, period-doubling bifurcations. The Henon map....

Derivatives and the chain rule. Multiple integrals, curves and surfaces in 3-space. Div, grad and curl operators, line and surface integrals, theorems...

Probability and Statistics I: Descriptive statistics. Probability (Laws of probability. Conditional probability. Discrete probability distributions...