CENG S1500 (CRN: 30243)
Instructors: Michael Loewenberg
Dates: Session A, May 25 - June 26, 2026
Course Mode: Online
Meeting Times: MWTh 5.30-7.00p
Distributional Requirements: Quantitative Reasoning, Science
Eligibility: Open to pre-college and college students
Online Course. Mathematical modeling is not a scripted procedure. Models are constrained by physical principles, including conservation laws and experimental observations but this does not provide a closed description. There is a lot more art in mathematical modeling than is commonly acknowledged and improvisation plays a significant role. The artistic aspects are important and intellectually engaging because they often lead to a deeper understanding. This course provides a general introduction to engineering analysis and to chemical engineering principles. Material includes the derivation of governing equations from first principles and the analysis of these equations, including underlying assumptions, degrees of freedom, dimensional analysis, scaling arguments, and approximation techniques. The goal of this course is to obtain the necessary skills for improvising mathematical models for a broad range of problems that arise in engineering, science and everyday life. Students from all majors are encouraged to take this course. Prerequisite: basic calculus. 1 Credit. Session A: May 25 – June 26. Tuition: $5480. Technology Fee: $85.
MATH S1120 (CRN: 30107)
Dates: Session B, June 29 - July 31, 2026
Course Mode: Online
Online Course. Limits and their properties. Definitions and some techniques of differentiation and the evaluation of definite integrals, with applications. Use of the software package Mathematica to illustrate concepts. No prior acquaintance…
APHY S1940 (CRN: 30193)
Dates: Session B, June 29 - July 31, 2026
Course Mode: Online
Online Course. Basic theory of ordinary and partial differential equations useful in applications. First- and second-order equations, separation of variables, power series solutions, Fourier series, Laplace transforms. Prerequisites: ENAS 1510 or…
PLSC S3508 (CRN: 30232)
Dates: Session B, June 29 - July 31, 2026
Course Mode: In-Person
In-person Course. Computational and statistical skills are increasingly important in our data-driven world. These skills are key to opening doors for research and career opportunities during and beyond your years at Yale. This course…
MENG S3323 (CRN: 30116)
Dates: Session B, June 29 - July 31, 2026
Course Mode: Online
Online Course. Kinematics and dynamics of particles and systems of particles. Relative motion; systems with constraints. Rigid body mechanics; gyroscopes. Prerequisites: PHYS 1800 or 2000, and MATH 1200 or ENAS 1510. MATH 2220 recommended but not…
AMTH S2220 (CRN: 30212)
Dates: Session A, May 25 - June 26, 2026
Course Mode: Online
Online Course. Matrix representation of linear equations. Gauss elimination. Vector spaces. Linear independence, basis, and dimension. Orthogonality, projection, least squares approximation; orthogonalization and orthogonal bases. Extension to…
CPSC S4794 (CRN: 30052)
Dates: Session B, June 29 - July 31, 2026
Course Mode: Online
Online Course. This course teaches the fundamentals of computational geometry by applying mathematical techniques in applied domains such as graphics, physics engines, robotics, and computer-aided design. Students exercise geometry, trigonometry…