University of Illinois--Course descriptions are from the University of Illinois mathematics class catalog.
Careful treatment of the theoretical aspects of the calculus of functions of a real variable intended for those who do not plan to take graduate courses in Mathematics. Topics include the real number system, limits, continuity, derivatives, and the Riemann integral.
Skills and techniques necessary to identify valid mathematical proofs and to produce valid mathematical proofs. Students will also be exposed to beginning ideas in several advanced mathematical topics, including modular arithmetic, group theory, combinatorial reasoning, solving equations, epsilon-delta arguments, and limits. This course is particularly focused on students who have no prior proof-writing experience.
Beginning course on discrete mathematics, including sets and relations, functions, basic counting techniques, recurrence relations, graphs and trees, and matrix algebra; emphasis throughout is on algorithms and their efficacy.
University of Tennessee--Course descriptions are from the University of Tennessee mathematics class catalog.
For students majoring in the life sciences. Topics include limits, derivatives, integrals, and basic differential equations. Emphasis on applications in the life sciences. Includes computer projects.
First course emphasizing solution techniques. Includes first-order equations and applications, theory of linear equations, equations with constant coefficients, Laplace transforms, and series solutions.
An introduction to probability and statistics without calculus.
Classical and modern topics in number theory, logic, geometry, and probability with emphasis on problem solving. Consumer mathematics and other real-world applications.
For students not planning to major in the physical sciences, engineering, mathematics, or computer science. Calculus of algebraic, exponential, and logarithmic functions, with applications.
A review of algebraic functions, equations, and inequalities for students who satisfy the course prerequisites for 123 (Finite Mathematics) or 125 (Basic Calculus) but whose placement test scores indicated additional preparation is necessary.