NetMath Courses for College Students

We are accepting new registrations in the following Academic Year term NetMath courses: Math 112, 114, 115, 416, 441, 442, 444, 446, 447, 453, 481, 490.

At this time Math 220, 231, 241, 285, 299, 415, 417, and 461 are closed.

Math 220, 231, 241, 285 are finishing up redevelopment and will open for registrations during mid-Fall 2023.
Math 417 is expected to resume registrations later this Fall.
Math 415 is being replaced by Math 257 (Linear Algebra with Computational Applications), which will open for registrations later in the Fall.
Math 461 is discontinued.

Overview

College students have 16 weeks from the date of registration to complete a NetMath course. Upon registration, students will receive communication from the NetMath office regarding their official course start and end date. These courses are self-paced and students may complete their coursework prior to the assigned end date. Some courses allow a paid course extension.

For detailed information on a particular course, click the course number in the College Courses table. Each course page contains the syllabus, information on extensions, tuition cost, number of credit hours, and necessary course materials.

Math Topics

Pre-Calculus

Calculus

Differential Equations

Linear Algebra

Analysis

Course Overview: This course is an introduction to ε - δ analysis on real numbers, which makes what the students have learned from calculus courses rigorous. This course is for students who do not plan to do graduate study in Mathematics (those students should take Math 447). Topics covered in Math 444 include the real number system, limits, continuity, derivatives, the Darboux integral, the Riemann integral, and sequences of functions. Learn More Register Now

Course Overview: For students who desire a working knowledge of complex variables; covers the standard topics and gives an introduction to integration by residues, the argument principle, conformal maps, and potential fields. Learn More Register Now

Course Overview: Careful development of elementary real analysis for those who intend to take graduate courses in Mathematics. Topics include completeness property of the real number system; basic topological properties of n-dimensional space; convergence of numerical sequences and series of functions; properties of continuous functions; and basic theorems concerning differentiation and Riemann integration. Learn More Register Now

Course Overview: This course is for students who desire a rigorous introduction to the theory of functions of a complex variable. Topics include Cauchy's theorem, the residue theorem, the maximum modulus theorem, Laurent series, the fundamental theorem of algebra, and the argument principles. Learn More Register Now

Course Overview: Introductory course in modern differential geometry focusing on examples and broadly aimed at students in mathematics, the sciences, and engineering. Emphasis on rigorously presented concepts, tools and ideas rather than on proofs. The topics covered include differentiable manifolds, tangent spaces and orientability; vector and tensor fields; differential forms; integration on manifolds and Generalized Stokes' Theorem; Riemannian metrics, Riemannian connections and geodesics. Applications to configuration and phase spaces, Maxwell equations and relativity theory will be discussed. Learn More Register Now

Geometry

Graduate Prep (for highly Mathematical/Proof oriented programs)

Applied Math Prep (prep for applied Mathematical graduate programs)

Course Overview: Introductory course emphasizing techniques of linear algebra with applications to engineering; topics include matrix operations, determinants, linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors, inner products and norms, orthogonality, equilibrium, and linear dynamical systems. Learn More Register Now

Course Overview: This course covers applications of calculus to the study of the shape and curvature of curves and surfaces; introduction to vector fields, differential forms on Euclidean spaces, and the method of moving frames for low-dimensional differential geometry. Learn More Register Now

Differential Equations of 1-variable (Math 285, 286 and Math 441)

Course Overview: This course covers basic theory of partial differential equations, with particular emphasis on the wave, diffusion, Laplace and Schrodinger equations. Topics include classification of PDEs in terms of order, linearity and homogeneity, finding the solutions of the PDEs using methods such as geometric, operator, Fourier, separation of variables and spherical means. Learn More Register Now

Course Overview: This course is an introduction to ε - δ analysis on real numbers, which makes what the students have learned from calculus courses rigorous. This course is for students who do not plan to do graduate study in Mathematics (those students should take Math 447). Topics covered by Math 444 include the real number system, limits, continuity, derivatives, the Darboux integral, the Riemann integral, and sequences of functions. Learn More Register Now

Course Overview: Introduction to mathematical probability; includes the calculus of probability, combinatorial analysis, random variables, expectation, distribution functions, moment-generating functions, and central limit theorem. Learn More Register Now

Course Overview: Introductory course in modern differential geometry focusing on examples, broadly aimed at students in mathematics, the sciences, and engineering. Emphasis is on rigorously presented concepts, tools and ideas rather than on proofs. Topics covered include differentiable manifolds, tangent spaces and orientability; vector and tensor fields; differential forms; integration on manifolds and Generalized Stokes' Theorem; Riemannian metrics, Riemannian connections and geodesics. Applications to configuration and phase spaces, Maxwell equations and relativity theory will be discussed. Learn More Register Now

Other

To Register

Before starting your registration, please review NetMath Registration Process.

Future Registration

Your NetMath course will begin immediately when your registration application is processed. Once you submit a registration application and confirm your intent to enroll, there is no mechanism to pause your course or start at a later date. If you are planning to register for a NetMath course in the future and would like to receive course reminders from the NetMath office, please click here.

Note the following before registering:

Please Note: Students currently registered in a University of Illinois Graduate Degree program will be restricted from registering in self-paced, 16-week Academic Year-term NetMath courses. Matriculated UIUC Grad students may register in 8-week and 12-week Summer Session 2 NetMath courses.

You may enroll in one course at a time.
Depending on how much information is required, your registration will take 5-10 business days to be processed.
Once you confirm your intent to enroll you will be registered in that course within the next few days barring any account holds or advising holds.
Click here to register. The direct link is https://apps.citl.illinois.edu/non-degree-registration/Account/Login.
- Note: Our registration site is run by the campus CITL (Center for Innovation in Teaching & Learning) office. If you are a new student, you will need to create an account to login.

NetMath Course Extensions

Extensions are available for some courses (not intended for high school students). Click here to learn more.