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University of Virginia-Main Campus · Courses

APMA

20 courses with the subject APMA, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

APMA 1000Preparation for Engineering Mathematics1

Effective Date 05/01/2019 Covers the fundamental concepts necessary for success in engineering courses and Applied Mathemtics courses.

Subject
APMA
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 1001Calculus Placeholder4

Effective Date 05/01/2022 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.

Subject
APMA
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 1090Single Variable Calculus I3

Effective Date 05/01/2025 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.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 1110Single Variable Calculus II4

Effective Date 05/01/2025 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.

Subject
APMA
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 1090 or MATH 1310 Requisites Completed APMA 1090 or MATH 1310 Credits: 4
APMA 1501Special Topics in Applied Mathematics1

Effective Date 01/01/2016 Student-led special topic courses which vary by semester.

Subject
APMA
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 2100Applied Mathematics in R and MATLAB3

Effective Date 08/01/2026 This course introduces basic programming skills in R and MATLAB, as well as solve mathematical and engineering application problems in R and MATLAB. R section focuses on data manipulation, exploration, analysis, and visualization. MATLAB section covers data types, control structures, functions, visualization, and data structures. Both have practical application to exercise from engineering, mathematics, data science, physics, statistics, and various other disciplines.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
CS 111X Requisites Completed CS 1110, CS 1111, CS 1112, or CS 1113, or successfully completed the CS 1110 place out test. Students cannot enroll if they previously completed APMA 2501 Topic #7 Programming in R and Matlab. Credits: 3
APMA 2120Multivariable Calculus4

Effective Date 08/01/2023 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.

Subject
APMA
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 1110 or MATH 1320. Requisites Must have completed MATH 1320 or APMA 1110 Credits: 4
APMA 2130Ordinary Differential Equations4

Effective Date 05/01/2026 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.

Subject
APMA
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 1110 or equivalent and Engineering Undergraduate. Requisites Completed APMA 1110 or MATH 1320, and Engineering Undergraduate Credits: 4
APMA 2501Special Topics in Applied Mathematics1

Effective Date 08/01/2024 Special topics in applied mathematics

Subject
APMA
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 3080Linear Algebra3

Effective Date 01/01/2024 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.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 2120 or equivalent. Requisites Students must have completed MATH 2310 or MATH 2315 or APMA 2120 Credits: 3
APMA 3100Probability3

Effective Date 02/01/2025 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). Requisites 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).

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 3110Applied Statistics and Probability3

Effective Date 08/01/2023 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.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 2120 or equivalent. Requisites Students must have completed APMA 2120 or MATH 2310 or MATH 2315 or APMA 2512 Topic#1 Honors Engineering Math II. Credits: 3
APMA 3120Statistics3

Effective Date 05/01/2024 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.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 3100 or MATH 3100. Requisites Must have completed MATH 3100 or APMA 3100 Credits: 3
APMA 3140Applied Partial Differential Equations3

Effective Date 05/01/2026 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.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 2120 or equivalent and APMA 2130 or equivalent and Engineering Undergraduate Requisites Completed (APMA 2120 or MATH 2310 or MATH 2315) AND (APMA 2130 or MATH 3250 or APMA 2501 topic Diff Equations & Linear Algebra) AND Engineering Undergraduate Credits: 3
APMA 3150From Data to Knowledge3

Effective Date 08/01/2026 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.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
Engineering Undergraduate and APMA 3100 or APMA 3110. Requisites Engineering Undergraduate and completed APMA 3100 or MATH 3100 or APMA 3110 Credits: 3
APMA 3340Complex Variables with Applications3

Effective Date 08/01/2023 Topics include analytic functions, Cauchy Theorems and formulas, power series, Taylor and Laurent series, complex integration, residue theorem, conformal mapping, and Laplace transforms.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
APMA 2120 or MATH 2310 or APMA 2512 - Honors Engineering Mathematics II. Requisites Students must have completed APMA 2120 or MATH 2310 or MATH 2315 or APMA 2512 Topic#1 Honors Engineering Math II. Credits: 3
APMA 3501Special Topics in Applied Mathematics1

Effective Date 11/09/2021 Applies mathematical techniques to special problems of current interest. Topic for each semester are announced at the time of course enrollment.

Subject
APMA
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 4501Special Topics in Applied Mathematics3

Effective Date 11/03/2016 Applies mathematical techniques to special problems of current interest. Topic for each semester are announced at the time of course enrollment.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
APMA 4993Independent Reading and Research1

Effective Date 08/01/2023 Reading and research under the direction of a faculty member.

Subject
APMA
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
Fourth-year standing. Requisites 4th Year Engineering student Credits: 1 to 3
APMA 4995Independent Reading and Research3

Effective Date 08/01/2023 Reading and research under the direction of a faculty member.

Subject
APMA
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
Undergraduate Record 2026-2027
Source
virginia.catalog.acalog.com
Prerequisite
Fourth-year standing. Requisites 4th Year Engineering student Credits: 3

Source: University of Virginia-Main Campus's catalog, linked per course · table learning_unit · CourseShelf publish 59