Summer Courses

Course Description: This course provides the background for an introductory level, non-trigonometry based calculus course. The topics include a review of the fundamentals of algebra: solutions of linear, fractional, and quadratic equations, functions and their graphs, polynomial, exponential, logarithmic and rational functions, and systems of linear equations.

Session: 12-Week Session (5/15-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course provides the background for an introductory level, trigonometry-based calculus course. Topics include functions and their graphs, with an emphasis on functions that commonly appear in calculus including polynomials, rational functions, trigonometric functions, exponential functions, and logarithmic functions. The course also includes the analytic geometry of conic sections. One hour each week will be devoted to a collaborative learning workshop.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course provides the background for an introductory level, trigonometry-based calculus course. Topics include functions and their graphs, with an emphasis on functions that commonly appear in calculus including polynomials, rational functions, trigonometric functions, exponential functions, and logarithmic functions. The course also includes the analytic geometry of conic sections. One hour each week will be devoted to a collaborative learning workshop.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course is an introduction to the topics of discrete mathematics, including number systems, sets and logic, relations, combinatorial methods, graph theory, regular sets, vectors, and matrices.

Session: 12-Week Session (5/15-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course is an introduction to the study of differential and integral calculus, including the study of functions and graphs, limits, continuity, the derivative, derivative formulas, applications of derivatives, the definite integral, the fundamental theorem of calculus, basic techniques of integral approximation, exponential and logarithmic functions, basic techniques of integration, an introduction to differential equations, and geometric series. Applications in business, management sciences, and life sciences will be included with an emphasis on manipulative skills.

Session: 12-Week Session (5/15-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This is the second course in three-course sequence (COS-MATH-171, -172, -173). The course includes Riemann sums, the Fundamental Theorem of Calculus, techniques of integration, and applications of the definite integral. The techniques of integration include substitution and integration by parts. The applications of the definite integral include areas between curves, and the calculation of volume.

Session: 12-Week Session (5/15-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This is the third course in three-course sequence (COS-MATH-171, -172, -173). The course includes sequences, convergence and divergence of series, representations of functions by infinite series, curves defined by parametric equations, and polar coordinates. Also included are applications of calculus to curves expressed in parametric and polar form.

Session: 6-Week Session 1 (5/15-6/26)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This is the second in a two-course sequence. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers techniques of integration including integration by parts, partial fractions, improper integrals, applications of integration, representing functions by infinite series, convergence and divergence of series, parametric curves, and polar coordinates.

Session: 12-Week Session (5/15-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course introduces students to ideas and techniques from discrete mathematics that are widely used in Computer Science. Students will learn about the fundamentals of propositional and predicate calculus, set theory, relations, recursive structures and counting. This course will help increase students' mathematical sophistication and their ability to handle abstract problems.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course is principally a study of the calculus of functions of two or more variables, but also includes the study of vectors, vector-valued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, and includes applications in physics. Credit cannot be granted for both this course and MATH-221.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course is principally a study of the calculus of functions of two or more variables, but also includes a study of vectors, vector-valued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, Stokes' Theorem, Green's Theorem, the Divergence Theorem, and applications in physics. Credit cannot be granted for both this course and MATH-219.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course is an introduction to the study of ordinary differential equations and their applications. Topics include solutions to first order equations and linear second order equations, method of undetermined coefficients, variation of parameters, linear independence and the Wronskian, vibrating systems, and Laplace transforms.

Session: 6-Week Session 1 (5/15-6/26)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course introduces sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distributions of discrete and continuous random variables, joint distributions (discrete and continuous), the central limit theorem, descriptive statistics, interval estimation, and applications of probability and statistics to real-world problems. A statistical package such as Minitab or R is used for data analysis and statistical applications.

Session: 6-Week Session 1 (5/15-6/26)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course introduces sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distributions of discrete and continuous random variables, joint distributions (discrete and continuous), the central limit theorem, descriptive statistics, interval estimation, and applications of probability and statistics to real-world problems. A statistical package such as Minitab or R is used for data analysis and statistical applications.

Session: 6-Week Session 1 (5/15-6/26)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course provides an introduction to boundary value problems. Topics include Fourier series, separation of variables, Laplace's equation, the heat equation, and the wave equation in Cartesian and polar coordinate systems.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This is a second course in linear algebra that provides an in-depth study of fundamental concepts of the subject. It focuses largely on the effect that a choice of basis has on our understanding of and ability to solve problems with linear operators. Topics include linear transformations, similarity, inner products and orthogonality, QR factorization, singular value decomposition, and the Spectral Theorem. The course includes both computational techniques and the further development of mathematical reasoning skills.

Session: 6-Week Session 2 (7/1-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course covers the theory of graphs and networks for both directed and undirected graphs. Topics include graph isomorphism, Eulerian and Hamiltonian graphs, matching, covers, connectivity, coloring, and planarity. There is an emphasis on applications to real world problems and on graph algorithms such as those for spanning trees, shortest paths, and network flows.

Session: 6-Week Session 1 (5/15-6/26)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: The experiential learning requirement in the Applied Mathematics and Computational Mathematics programs can be accomplished in various ways. This course exists to record the completion of experiential learning activities that have been pre-approved by the School of Mathematical Sciences. Such pre-approval is considered on a case-by-case basis.

Session: 12-Week Session (5/15-8/13)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.

Course Description: This course serves as a bridge course that builds the mathematical foundations needed for the IDAI-620 course, Mathematical Methods for Artificial Intelligence, a course introducing the mathematical background for AI systems in the MS in AI program. It focuses on the basic constructions, structures, and results in four key areas: (1) linear algebra (vectors, matrices, and their operations) (2) optimization theory (multivariable functions and their calculus) (3) probability and statistics (basic combinatorics, elementary statistics) and (4) numerical analysis (basic notions of approximation).

Session: 6-Week Session 1 (5/15-6/26)

For prerequisites, availability, other details and to register, go to http://sis.rit.edu/.