The following is a list of the courses offered by the NetMath Program. Please click on one to view a full course description.
Please note that transfer credit may only be determined by the receiving institution.
Please note that students may only enroll in one NetMath course at a time. Also, all courses will require that the student find an appropriate proctor for testing.
- MATH 012 College Algebra ALEKS only
- MATH 014 Trigonometry ALEKS only
- MATH 115 Preparation for Calculus
- MATH 124 Finite Mathematics does NOT use Mathematica
- MATH 220 Calculus I Mathematica
- MATH 231 Calculus II Mathematica
- MATH 234 Calculus for Business, I Mathematica
- MATH 241 Calculus III Mathematica
- MATH 285 Intro to Differential Equations Mathematica
- MATH 286 Intro to Differential Equations Plus Mathematica
- MATH 290 Symbolic Computation Lab
- MATH 292 Vector Calculus Supplement Mathematica
- New! MATH 347 Fundamental Mathematics
- New! MATH 348 Fundamental Mathematics - Advanced Composition Credit
- New! MATH 370 Actuarial Problem Solving
- MATH 402 Post Euclidean Geometry does NOT use Mathematica
- MATH 403 Euclidean Geometry does NOT use Mathematica
- MATH 415 Applied Linear Algebra Mathematica
- MATH 461 Introduction to Probability Theory Mathematica
Each of the courses in the NetMath program assumes some prior math knowledge. It is the students responsibility to verify their level of preparation, prior to enrollment. We suggest reviewing the syllabi from previous courses.
Transcripts showing completion of earlier work will not be required for registration
Rapid review of basic techniques of factoring, rational expressions, equations and
inequalities; functions and graphs; exponential and logarithm functions; systems of
equations; matrices and determinants; polynomials; and the binomial theorem. Credit not applicable toward graduation
in certain curricula.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with NO extensions. High school students may not enroll in this course.
Prerequisite: 1.5 units of high school algebra; 1 unit of
high school geometry. 3 hours
Studies degrees and radians, the trigonometric functions, identities and equations, inverse functions, oblique triangles and applications. Credit is not given for both MATH 014 and MATH 115.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with NO extensions. High school students may not enroll in this course
Prerequisite: 1.5 units of high school algebra; 1 unit of high school geometry 2 hours.
MATH 115. Preparation for Calculus
Reviews trigonometric, rational, exponential, and logarithmic functions; provides a full
treatment of limits, definition of derivative, and an introduction to finding area under a curve. Intended
for students who need preparation for MATH 220 (calculus 1), either because they lack the content background or because they are not prepared for the rigor of a university calculus course. Credit is not given for BOTH MATH 115 and MATH 014. Students may not receive credit for MATH 115 if MATH 115 is taken after receiving credit for MATH 220 or MATH 221.
Credit: 3 Hours
Students may enroll in this course at any time. Some sections of this course use ALEKS and other sections use an e-textbook and MyMathLab. The MyMathLab course has limited enrollment. The term of the ALEKS based course is 16 weeks from date of enrollment with NO extensions. The term of the MyMathLab course is 6 months with no extension. In either course, students may complete the course in less time than the term length if they wish.
Prerequisite: MATH 012 or equivalent. High school students may not enroll in this course.
Introduction to the basic ideas of logic, set theory, probability, vectors, and matrices. Applied problems are selected from the social sciences and business. This course has a 6-month term, and is not a Mathematica-based course.
Students may enroll in this course at any time. Term of course is 6 months from date of enrollment with NO extensions. Students may complete the course in less than 6 months if they wish.
Prerequisite: Math 012 or equivalent. 3 hours.
A first course in calculus and analytic geometry; basic techniques of differentiation and integration with applications including curve sketching; antidifferentation, the Riemann integral, fundamental theorem, exponential and circular functions.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish. The term for high school students is 9 months with no extensions.
Prerequisite: Math 115 or equivalent. Credit is not given for both Mathematics 220 and either 221 or 234. 5 hours.
Before enrolling in Math 220, be sure you are familiar with these types of functions.
Second course in calculus and analytic geometry: techniques of integration, conic sections, polar coordinates, and infinite series.
Prerequisite: Mathematics 220. Credit is not given for both Mathematics 230 and 231. 3 hours.
Before enrolling in Math 231, be sure you are familiar with these concepts from calculus 1.
MATH 234 Calculus for Business, I
Introduction to the concept of functions and the basic ideas of calculus.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish.
Prerequisite: Math 012. 4 hours.
Third course in calculus and analytic geometry including: vector analysis, Euclidean space, partial differentiation, multiple integrals, line and surface integrals, the integral theorems of vector calculus. Credit is not given for more than one of the following: Math 241 and Math 242, Math 243, Math 244, or Math 380.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish. The term for high school students is 9 months with no extensions.
This course satisfies the General Education Criteria for a
Quant Reasoning II course.
Credit: 4 hours. Prerequisite: MATH 230 or MATH 231.
MATH 285 Differential Equations
Intended for engineering students and others who require a working knowledge of differential equations; included are techniques and applications of ordinary differential equations and an introduction to partial differential equations.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish. The term for high school students is 9 months with no extensions.
Prerequisite: Mathematics 241. Credit is not given for both Mathematics 285 and any of Math 284, Math 286, Math 441. (Counts for advanced hours in Liberal Arts and Sciences. ) 3 hours.
Before enrolling in Math 285, be sure you are familiar with these
concepts.
MATH 286. Intro to Differential Equations
Plus
Techniques and applications of ordinary differential equations, including Fourier series and boundary value problems, linear systems of differential equations, and an introduction to partial differential equations. Covers all the MATH 285 plus linear systems. Intended for engineering majors and other who require a working knowledge of differential equations.
Credit is not given for both MATH 286 and any of MATH 284, MATH 285, MATH 441.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish. The term for high school students is 9 months with no extensions.
Prerequisite: MATH 241. 4 hours.
MATH 290. Symbolic Computation Lab
Laboratory component to courses using a symbolic programming package.
Prerequisite: Consent of department; concurrent registration in a designated section of a mathematics course with symbolic computation component. May be taken only once for credit. 1 hour.
MATH 292. Vector Calculus Supplement
Course in multivariable calculus. Topic include gradient divergence, and curl; line and surface integrals; and the theorems of Green, Stokes, and Gauss. Intended for transfer students who multivariable calculus course did not include the integral theorems of vector calculus. Credit is not given for both MATH 292 and MATH 241. 2 hours.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish.
Prerequisite: Consent of instructor.
New! MATH 347. Fundamental Mathematics
Fundamental ideas used in many areas of mathematics. Topics will include: techniques of proof, mathematical induction, binomial coefficients, rational and irrational numbers, the least upper bound axiom for real numbers, and a rigorous treatment of convergence of sequences and series. This will be supplemented by the instructor from topics available in the various texts. Students will regularly write proofs emphasizing precise reasoning and clear exposition.
Prerequisite: TBA
New! MATH 348. Fundamental Mathematics - ACP
Fundamental ideas used in many areas of mathematics. Topics will include: techniques of proof, mathematical induction, binomial coefficients, rational and irrational numbers, the least upper bound axiom for real numbers, and a rigorous treatment of convergence of sequences and series. This will be supplemented by the instructor from topics available in the various texts. Students will regularly write proofs emphasizing precise reasoning and clear exposition. This course fulfills the advanced composition requirement at the University of Illinois.
Prerequisite: TBA
New! MATH 370. Actuarial Problem Sovling
Methods and techniques of solving problems in actuarial mathematics for advanced students intending to enter the actuarial profession.
MATH 402: Post Euclidean Geometry
Junior/Senior level course in classical non-Euclidean geometry,
its models and transformations from a contemporary viewpoint.
Students learn to write their homework online with LaTeX and a
custom version of Hvidsten's software package, Geometry Explorer.
Topics include:
- The Axiomatic Method in Geometry
- Review of Euclidean Synthetic and Analytic Geometry
- Non-Euclidean (hyperbolic) Geometry
- The models of Beltrami-Klein, Poincare and Weierstrass
- Moebius transformations and the hyperbolic isometry group
- Introduction to Fractal Geometry
Math 402 is a semester-based course and will be offered for the Summer 2012 semester. The course time frame is May 14th to August 2nd, 2012. Math 402 requires instructor approval prior to enrollment. Please e-mail Prof. George Francis at gfrancis@uiuc.edu to seek approval to take the course. This course is NOT available to high school students. It may be taken for 3 or 4 hours of credit. The prerequisites are Math 347 or 348 or the equivalent in the fundamentals of mathematical discourse and proofs.
Please visit the course website here..
Junior/Senior level course in classical Euclidean geometry from a contemporary viewpoint, woven from five threads (themes):
- The Physical Origins of Greek Geometry.
- Renaissance Perspective and 3-dimensional Drawing.
- The Industrial Origins of Cartesian Geometry.
- Klein's Erlangen Program to Unify Geometry.
- The Geometry in Computer Graphics.
Math 403 is a semester-based course. This course will be offered for the Summer 2012 semester. The course time frame is May 14th to August 2nd, 2012. Math 403 requires instructor approval prior to enrollment. Please e-mail Prof. George Francis at gfrancis@uiuc.edu to seek approval to take the course. This course uses free software. See http://new.math.uiuc.edu/netmath403 for full course information. This course is NOT available to high school students.
Prerequisite: MATH 241; MATH 347 or 348, or equivalent; or consent of instructor. It may be taken for 3 or 4 hours of credit.
MATH 415 Applied Linear Algebra
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. Credit is not given for both MATH 415 and any of
MATH 125, MATH 225, or MATH 410.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish. The term for high school students is 9 months with no extensions.
Prerequisite: Mathematics 241 or equivalent. 3 hours.
NetMath 415: Credit earned in this course cannot be applied toward an online graduate-level certificate or degree offered through the Engineering and
Computer Science Online program.
MATH 461 Introduction to Probability Theory
Introduction to mathematical probability; includes the calculus of probability, combinatorial analysis, random variables, expectation, distribution functions, moment-generating functions, and central limit theorem.
Students may enroll in this course at any time. Term of course is 16 weeks from date of enrollment with up to 3 optional one-month extensions for an additional fee. Students my complete the course in less than 16 weeks if they wish. The term for high school students is 9 months with no extensions.
Prerequisite: Mathematics 241 or equivalent. 3 hours.