APPM 5040 (1-2). Calculus Applications for High School Teachers.
A fast-paced, intensive calculus course designed for high school mathematics teachers. Provides a deeper understanding of fundamental calculus concepts and an introduction to technological tools, including computer software used in the analysis of real-world problems. Offered through Continuing Education only. Prereqs., APPM 1350 and 1360. Recommended prereqs., APPM 2350 and 2360.

APPM 5050 (1-2). Discrete Math for K-12 Teachers.
An intensive study of selected topics in discrete math, including Boolean algebra, inductive proofs, discrete probability, election theory and fair division, graph theory, and recursion. Focus on applications and technological tools to increase understanding. Offered through Continuing Education only. Recommended prereq., APPM 3310 or MATH 3130.

APPM 5070 (1-2). Applied Statistics for High School Teachers.
A fast-paced, intensive course in statistics designed for high school mathematics teachers. Covers selected topics from probability and statistics, including random variables, central limit theorem, sampling design, regression, and interference.Uses technological tools, including Minitab and SPSS, to analyze real-world statistical problems. Offered through Continuing Education only. Prereq., undergraduate course in probability and statistics.

APPM 5120-3 . Introduction to Operations Research.
Same as APPM 4120 and MATH 5120.

APPM 5350-3. Methods in Applied Mathematics: Fourier Series and Boundary Value Problems.
Prereq., graduate status in engineering or arts and sciences, or instructor consent. Same as APPM 4350.

APPM 5360-3. Methods in Applied Mathematics: Complex Variables and Applications.
Prereq., graduate status in engineering or arts and sciences, or instructor consent. Same as APPM 4360.

APPM 5380-3. Modeling in Applied Mathematics.
Same as APPM 4380.

APPM 5390-3. Modeling in Mathematical Biology.
Same as APPM 4390.

APPM 5430-3. Methods in Applied Mathematics: Applications of Complex Variables.
Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including Schwarz-Christoffel transformations and generalizations; computational methods; Riemann-Hilbert problems; and topics in asymptotic methods. Prereq., APPM 4360 or 5360, or instructor consent.

APPM 5440-3. Applied Analysis 1.
Discusses the elements of basic real and complex analysis, Banach spaces, LP spaces, and many relevant inequalities. Includes applications of existence and uniqueness of solutions to various types of ordinary differential equations, partial differential equations, and integral equations. Prereqs., MATH 4310 and 4320, or equivalent; MATH 3130 or equivalent; or instructor consent.

APPM 5450-3. Applied Analysis 2.
Continuation of APPM 5440. Prereq., APPM 5440 or instructor consent.

APPM 5460-3. Methods in Applied Mathematics: Dynamical Systems and Differential Equations.
Introduces the theory and applications of dynamical systems through solutions to differential equations. Covers existence and uniqueness theory, local stability properties, qualitative analysis, global phase portraits, perturbation theory, and bifurcation theory. Special topics may include Melnikov methods, averaging methods, bifurcations to chaos, and Hamiltonian systems. Prereqs., undergraduate courses equivalent to APPM 2360, 3310, and MATH 4310.

APPM 5470-3. Methods of Applied Mathematics: Partial Differential and Integral Equations.
Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat, and Laplace equations, Green's functions, and related integral equations. Prereqs., APPM 4350 and 4360, or MATH 4430, or equivalent.

APPM 5480-3. Methods of Applied Mathematics: Approximation Methods.
Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and applications to differential and integral equations. Prereq., APPM 5470 or instructor consent.

APPM 5520-3. Introduction to Mathematical Statistics.
Prereq., one semester calculus-based probability such as MATH 4510 or APPM 3570.  Same as APPM 4520 and MATH 5520.

APPM 5540-3. Introduction to Time Series.
Same as APPM 4540 and MATH 5540.

APPM 5560-3. Markov Processes, Queues, and Monte Carlo Simulations.
Prereq., APPM 3570 or equivalent. Same as APPM 4560.

APPM 5570-3. Statistical Methods.
Same as APPM 4570.

APPM 5580-3. Statistical Applications: Software and Methods.
Continuation of APPM 5570. Prereq., one semester of statistics. Same as APPM 4580.

APPM 5600-3. Numerical Analysis 1.
Solution of nonlinear algebraic equations, interpolation, integration, approximation, and numerical linear algebra. Prereq., APPM 3310 or MATH 3130, and experience with a scientific programming language.

APPM 5610-3. Numerical Analysis 2.
Numerical linear algebra, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Prereq., APPM 5600 or MATH 5600.

APPM 5720 (1-3). Open Topics in Applied Mathematics.
Same as APPM 4720.