| Class Schedules Index | Course Catalogs Index | Class Search Page |
| Applied Mathematics | |
| APMA 1000 | Preparation for Engineering Mathematics (1 - 3) |
| Covers the fundamental concepts necessary for success in engineering courses and Applied Mathemtics courses. | |
| APMA 1001 | Calculus Placeholder (4) |
| This course will be used as an enrollment placeholder during summer orientation for incoming 1st year engineering students prior to receiving calculus placement results, AP scores, dual enrollment credit, etc. This course will be replaced with APMA 1090, APMA 1110, or APMA 2120 prior to the fall term based on the student's final calculus placement result. | |
| APMA 1090 | Single Variable Calculus I (4) |
| Offered Fall 2025 | The concepts of differential and integral calculus are developed and applied to the elementary functions of a single variable. Limits, rates of change, derivatives, and integrals. Applications are made to problems in analytic geometry and elementary physics. For students with no exposure to high school calculus. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Summer 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Fall 2020, Fall 2019, Fall 2018, Fall 2017, Fall 2016, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Summer 2012, Fall 2011, Summer 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 1110 | Single Variable Calculus II (4) |
| Offered Fall 2025 | Advanced techniques of integration are introduced, and integration is used in physics applications like fluid force, work, and center of mass. Improper integrals and approximate integration using Simpson's Rule are also studied. Infinite series including Taylor series are studied and numerical methods involving Taylor polynomials are studied. Parametric equations and polar coordinates are introduced and applied. Complex numbers are introduced. Course was offered Summer 2025, Spring 2025, Fall 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Fall 2016, Spring 2016, Fall 2015, Spring 2015, Fall 2014, Spring 2014, Fall 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Spring 2010, Fall 2009 |
| APMA 1501 | Special Topics in Applied Mathematics (1) |
| Student-led special topic courses which vary by semester. Course was offered Spring 2016, Spring 2014 | |
| APMA 2120 | Multivariable Calculus (4) |
| Offered Fall 2025 | Topics include vectors in three-space and vector valued functions. The multivariate calculus, including partial differentiation, multiple integrals, line and surface integrals, and the vector calculus, including Green's theorem, the divergence theorem, and Stokes's theorem. Applications. Prerequisite: APMA 1110 or MATH 1320. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Summer 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Summer 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Summer 2019, Spring 2019, Fall 2018, Summer 2018, Spring 2018, Fall 2017, Summer 2017, Spring 2017, Fall 2016, Summer 2016, Spring 2016, Fall 2015, Summer 2015, Spring 2015, Fall 2014, Summer 2014, Spring 2014, Fall 2013, Summer 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 2130 | Ordinary Differential Equations (4) |
| Offered Fall 2025 | First order differential equations, second order and higher order linear differential equations, undetermined coefficients, variation of parameters, Laplace transforms, linear systems of first order differential equations and the associated matrix theory, numerical methods. Applications. Prerequisite: APMA 2120 or equivalent. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Summer 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Summer 2019, Spring 2019, Fall 2018, Summer 2018, Spring 2018, Fall 2017, Summer 2017, Spring 2017, Fall 2016, Summer 2016, Spring 2016, Fall 2015, Summer 2015, Spring 2015, Fall 2014, Summer 2014, Spring 2014, Fall 2013, Summer 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 2501 | Special Topics in Applied Mathematics (1 - 4) |
| Offered Fall 2025 | Special topics in applied mathematics Course was offered Spring 2025, Fall 2024, Fall 2023, Spring 2022, Fall 2021, Spring 2021, Spring 2020, Fall 2019, Spring 2019, January 2018, Fall 2017, Fall 2016 |
| APMA 3080 | Linear Algebra (3) |
| Offered Fall 2025 | Analyze and apply systems of linear equations; vector spaces; linear transformations; matrices; determinants; eigenvalues; eigenvectors; coordinates; diagonalization; orthogonality; projections; inner product spaces; quadratic forms; The course is both computational and applicable. MATLAB is frequently used and prior experience in MATLAB (loops, functions, arrays, conditional statements) is helpful. Prerequisite: APMA 2120 or equivalent. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Summer 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Summer 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Summer 2019, Spring 2019, Fall 2018, Summer 2018, Spring 2018, Fall 2017, Summer 2017, Spring 2017, Fall 2016, Summer 2016, Spring 2016, Fall 2015, Summer 2015, Spring 2015, Fall 2014, Summer 2014, Spring 2014, Fall 2013, Summer 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 3100 | Probability (3) |
| Offered Fall 2025 | A calculus-based introduction to probability theory and its applications in engineering and applied science. Includes counting techniques, conditional probability, independence, discrete and continuous random variables, probability distribution functions, expected value and variance, joint distributions, covariance, correlation, the Central Limit theorem, the Poisson process, an introduction to statistical inference. Students must have completed (APMA 2120 or MATH 2310 or MATH 2315) AND (CS 1110 or CS 1111 or CS 1112 or CS 1113 or successfully completed the CS 1110 place out test). Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Summer 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Summer 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Summer 2019, Spring 2019, Fall 2018, Summer 2018, Spring 2018, Fall 2017, Summer 2017, Spring 2017, Fall 2016, Summer 2016, Spring 2016, Fall 2015, Summer 2015, Spring 2015, Fall 2014, Summer 2014, Spring 2014, Fall 2013, Summer 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 3110 | Applied Statistics and Probability (3) |
| Offered Fall 2025 | Introduces basic concepts of probability such as random variables, single and joint probability distributions, and the central limit theorem. The course then emphasizes applied statistics, including descriptive statistics, statistical inference, confidence intervals, hypothesis testing, correlation, linear regression, and ANOVA. Students cannot receive credit for both this course and APMA 3120. Prerequisite: APMA 2120 or equivalent. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Summer 2023, Spring 2023, Fall 2022, Spring 2022, Fall 2021, Summer 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Summer 2019, Spring 2019, Fall 2018, Summer 2018, Spring 2018, Fall 2017, Summer 2017, Spring 2017, Fall 2016, Summer 2016, Spring 2016, Fall 2015, Summer 2015, Spring 2015, Fall 2014, Summer 2014, Spring 2014, Fall 2013, Summer 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 3120 | Statistics (3) |
| Offered Fall 2025 | Includes point estimation methods, confidence intervals, hypothesis testing for one population and two populations, categorical data tests, single and multi-factor analysis of variance (ANOVA) techniques, linear and non-linear regression and correlation analysis, and non-parametric tests. Students cannot receive credit for both this course and APMA 3110. Prerequisite: APMA 3100 or MATH 3100. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Summer 2023, Spring 2023, Fall 2022, Summer 2022, Spring 2022, Fall 2021, Summer 2021, Spring 2021, Fall 2020, Summer 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Summer 2018, Spring 2018, Fall 2017, Summer 2017, Spring 2017, Fall 2016, Summer 2016, Spring 2016, Fall 2015, Summer 2015, Spring 2015, Fall 2014, Summer 2014, Spring 2014, Fall 2013, Summer 2013, Spring 2013, Fall 2012, Summer 2012, Spring 2012, Fall 2011, Summer 2011, Spring 2011, Fall 2010, Summer 2010, Spring 2010, Fall 2009 |
| APMA 3140 | Applied Partial Differential Equations (3) |
| Offered Fall 2025 | Partial differential equations that govern physical phenomena in science and engineering. Separation of variables, superposition, Fourier series, Sturm-Liouville eigenvalue problems, eigenfunction expansion techniques. Particular focus on the heat, wave, and Laplace partial differential equations in rectangular, cylindrical, and spherical coordinates. Prerequisites: (APMA 2120 or MATH 2310 or MATH 2315) AND (APMA 2130 or MATH 3250 or APMA 2501 topic Diff Equations & Linear Algebra) Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Fall 2016, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010, Fall 2009 |
| APMA 3150 | From Data to Knowledge (3) |
| Offered Fall 2025 | This course uses a Case-Study approach to teach statistical techniques with R: confidence intervals, hypotheses tests, regression, and anova. Also, it covers major statistical learning techniques for both supervised and unsupervised learning. Supervised learning topics cover regression and classification, and unsupervised learning topics cover clustering & principal component analysis. Prior basic statistic skills are needed. Course was offered Summer 2025, Spring 2025, Fall 2024, Summer 2024, Spring 2024, Fall 2023, Fall 2022, Fall 2021, Fall 2020, Fall 2019, Fall 2018, Fall 2017, Fall 2016 |
| APMA 3340 | Complex Variables with Applications (3) |
| Topics include analytic functions, Cauchy Theorems and formulas, power series, Taylor and Laurent series, complex integration, residue theorem, conformal mapping, and Laplace transforms. Prerequisite: APMA 2120 or MATH 2310 or APMA 2512 - Honors Engineering Mathematics II. Course was offered Spring 2025, Spring 2024, Summer 2023, Summer 2022, Summer 2021, Summer 2020, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010, Fall 2009 | |
| APMA 3501 | Special Topics in Applied Mathematics (1 - 4) |
| Offered Fall 2025 | Applies mathematical techniques to special problems of current interest. Topic for each semester are announced at the time of course enrollment. Course was offered Spring 2025, Fall 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 |
| APMA 4501 | Special Topics in Applied Mathematics (3) |
| Applies mathematical techniques to special problems of current interest. Topic for each semester are announced at the time of course enrollment. | |
| APMA 4993 | Independent Reading and Research (1 - 3) |
| Reading and research under the direction of a faculty member. Prerequisite: Fourth-year standing. | |
| APMA 4995 | Independent Reading and Research (3) |
| Reading and research under the direction of a faculty member. Prerequisite: Fourth-year standing. Course was offered Spring 2010 | |
| APMA 5070 | Numerical Methods (3) |
| Introduces techniques used in obtaining numerical solutions, emphasizing error estimation. Includes approximation and integration of functions, and solution of algebraic and differential equations. Prerequisite: Two years of college mathematics, including some linear algebra and differential equations, and the ability to write computer programs in any language. Course was offered Summer 2021, Spring 2019, Spring 2018, Spring 2017, Spring 2016, Spring 2015, Spring 2014, Spring 2013, Spring 2012, Spring 2011, Spring 2010 | |
| APMA 6000T | Non-UVa Transfer/Test Credit (3) |
| APMA 6020 | Continuum Mechanics with Applications (3) |
| Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed as AM 6020, MAE 6020, CE 6720 Prerequisite: Instructor Permission | |
| APMA 6410 | Engineering Mathematics I (3) |
| Offered Fall 2025 | Review of ordinary differential equations. Initial value problems, boundary value problems, and various physical applications. Linear algebra, including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization, and various applications. Scalar and vector field theory, including the divergence theorem, Green's theorem, Stokes theorem, and various applications. Partial differential equations that govern physical phenomena in science and engineering. Solution of partial differential equations by separation of variables, superposition, Fourier series, variation of parameters, d' Alembert's solution. Eigenfunction expansion techniques for nonhomogeneous initial-value, boundary-value problems. Particular focus on various physical applications of the heat equation, the potential (Laplace) equation, and the wave equation in rectangular, cylindrical, and spherical coordinates. Cross-listed as MAE 6410. Prerequisite: Graduate standing. |
| APMA 6430 | Statistics for Engineers and Scientists (3) |
| Analyzes the role of statistics in science; hypothesis tests of significance; confidence intervals; design of experiments; regression; correlation analysis; analysis of variance; and introduction to statistical computing with statistical software libraries. Prerequisite: Admission to graduate studies. Course was offered Spring 2025, Spring 2024, Spring 2023, Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Spring 2015, Spring 2014, Spring 2013, Spring 2012, Spring 2011, Spring 2010 | |
| APMA 6548 | Special Topics in Applied Mathematics (1 - 3) |
| Offered Fall 2025 | Topics vary from year to year and are selected to fill special needs of graduate students. Course was offered Spring 2025, Fall 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Fall 2016, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010, Fall 2009 |
| APMA 7548 | Selected Topics in Applied Mathematics (3) |
| Content varies annually; topics may include wave propagation theory, shell theory, control theory, or advanced numerical analysis. Prerequisite: Instructor permission. Course was offered Spring 2018, Spring 2017, Spring 2016, Spring 2015, Spring 2014, Spring 2012, Spring 2011, Spring 2010 | |
| APMA 8548 | Advanced Topics in Applied Mathematics (3) |
| Course content varies from year to year and depends on students' interests and needs. See APMA 7548 for possible topics. Prerequisite: Instructor permission. | |
| APMA 8897 | Graduate Teaching Instruction (1 - 6) |
| For master's students. Course was offered Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Fall 2016, Spring 2016, Fall 2015, Spring 2015, Fall 2014, Spring 2014, Fall 2013, Spring 2013, Spring 2012, Spring 2011, Spring 2010 | |
| APMA 9897 | Graduate Teaching Instruction (1 - 6) |
| For doctoral students. Course was offered Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Fall 2016, Spring 2016, Fall 2015, Spring 2015, Fall 2014, Spring 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010, Spring 2010, Fall 2009 | |