TEACHING

I offer tutoring in the following courses:

Algebra and Calculus (MATH-UA 9): Topics include algebraic, exponential, logarithmic, and trigonometric functions and their graphs.

Discrete Mathematics (MATH-UA 120): A first course in discrete mathematics. Topics include sets, algorithms, and induction. Combinatorics. Graphs and trees. Combinatorial circuits. Logic and Boolean algebra.

Calculus I (MATH-UA 121): Topics include derivatives, antiderivatives, and integrals of functions of one variable. Applications include graphing, maximizing, and minimizing functions. Definite integrals and the fundamental theorem of calculus. Areas and volumes.

Calculus II (MATH-UA 122): Topics include techniques of integration. Further applications. Plane analytic geometry. Polar coordinates and parametric equations. Infinite series, including power series.

Calculus III (MATH-UA 123): Topics include functions of several variables. Vectors in the plane and space. Partial derivatives with applications. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorem of Gauss and Stokes.

Linear Algebra (MATH-UA 140): Topics include systems of linear equations. Gaussian elimination, matrices, determinants, and Cramer’s rule. Vectors, vector spaces, basis and dimension, linear transformations. Eigenvalues, eigenvectors, quadratic forms.

Theory of Probability (MATH-UA 233): Introduction to the mathematical techniques of random phenomena occurring in the natural, physical, and social sciences. Axioms of mathematical probability, combinatorial analysis, binomial distribution, Poisson and normal approximation, random variables and probability distributions, generating functions, Markov chains, applications.

*I am happy to offer additional help to students outside of tutoring hours. Please meet with me first.