Prep Courses

This course provides a review of differentiation: its concepts and applications. It assumes that the participant has taken courses in elementary differential and integral calculus at some point in the past, and is seeking to rebuild their understanding and skills. Topics include: the definition of derivative (algebra and geometry), differentiation skills for polynomials, logs, exponentials and trig functions, the Chain Rule and differential approximations. From integral calculus, Riemann Sums, the Fundamental Theorem of Calculus, integration techniques including but not limited to U substitutions and Parts. Applications include exponential growth and decay, cooling, and regression. Students should be willing to review algebra, trig and analytic geometry as needed. Upcoming session: TBD

This course is intended for the student who has taken a course in multivariable calculus and wishes to review the material comprehensively. It provides a foundation, for example, for MA 501 Advanced Engineering Math. Emphasis is on concepts, applications and skills. It assumes the student has a background in elementary calculus, ordinary differential equations, polar coordinates and analytic geometry. Topics include: vectors, partial derivatives, directional derivatives and gradients, line integrals, potential functions, multiple integration, surface integrals, the Divergence Theorem and Stokes Theorem. Upcoming session: TBD

This course develops techniques for solving ordinary differential equations. Topics covered include: introduction to modeling using first-order differential equations, solution methods for linear higher-order equations, qualitative behavior of nonlinear first-order equations, oscillatory phenomena including spring-mass system and RLC-circuits and Laplace transform. Additional topics may be chosen from power series method, methods for solving systems of equations and numerical methods for solving ordinary differential equations. Recommended Background: Calculus III & IV. Upcoming sessions: TBD

A study of the fundamental laws of statics, kinematics and dynamics applied to fluid mechanics. The course will include fluid properties, conservation of mass, momentum and energy as applied to real and ideal fluids. Laminar and turbulent flows, fluid resistance and basic boundary layer theory will also be considered. Recommended background: basic physics, basic differential equations, and vectors. Upcoming session: TBD

This course presents the fundamentals of heat transfer in three modes of conduction, convection and radiation. Topics include steady-state and transient heat conduction, forced external and internal convection, natural convection, heat exchanger analysis, radiation properties, and radiative exchange between surfaces. Recommended background: knowledge of thermodynamics, fluid mechanics, and ordinary differential equations, or equivalents. Upcoming sessions: TBD

This course emphasizes system and control volume modeling using conservation of mass and the First and Second Laws of Thermodynamics. Topics include an introduction to heat, work, energy, and power, properties of simple substances, and cycle analysis for power production and refrigeration. Recommended background: basic physics, elementary differential and integral calculus, or equivalents. Upcoming session: TBD

Re-establish your math skills for a strong base in WPI's Power Systems Engineering or Power Systems Management graduate programs.

Course Modules for this Non-Credit Program

Module 1: Basic Linear Algebra

Module 2: Solving System of Linear Equations

Module 3: Matrix Multiplication

Module 4: Determinants

Module 5: Matrix Inverse

Module 6: Finding Eigenvalues; Diagonalization

Module 7: Basic Differential Equations

Module 8: Basics of Transforms

Registration information:

• Cost: $500
• On Demand: Register today

Freshen your calculus skills as preparation for WPI graduate programs that require a foundation in this important branch of mathematics.

Course Modules for this Non-Credit Program

Module 1: Derivatives

Module 2: Differentiation Techniques

Module 3: The Chain Rule

Module 4: Implicit Differentiation

Module 5: Differentials

Module 6: Integrals

Module 7: Integration by Parts

Module 8: Partial Fractions

Module 9: Trigonometric Integrals

Module 10: Exponential Growth & Decay

Registration information

• Cost: $400
• On Demand: Register today

This course is designed as a "refresher" course to help you learn/remember the basics of statistics, so that you can continue further studies in data science, computer science, or whatever your major may be. The course is self-contained and designed to be finished at your own pace. No grades will be assigned, but please try to complete the homework problems and pass the quizzes to demonstrate mastery of the material. The course does cover a lot of topics, and if you already have a strong background in certain areas, feel free to skip those topics. Now available on-demand  |  Course #: CPE 558  |  Cost: $200  |  Register Today

The python refresher course is setup as a 6 week self-paced refresher with minimal instructor involvement. Each module will have four to five-15 minute videos followed by an activity or quiz. This refresher is self-paced and some students may finish in less than the 6 weeks allotted. Now available on-demand  |  Cost: $200. Register today.