Unit: School of Engineering and Applied Science
Department: Department of Engineering and Society
Office location and address
156 Engineer's WayCharlottesville, Virginia 22903
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.
A second calculus course for business/biology/and social-science students. Topics include differential equations/infinite series/analysis of functions of several variables/analysis of probability density functions of continuous random variables. The course begins with a review of basic single-variable calculus. Prerequisite: MATH 1210 or equivalent; at most one of MATH 1220 and MATH 1320 may be taken for credit.
Student led special topic courses which vary by semester.
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.
Advanced Special topics in Applied Mathematics
Advanced special topics in Applied Mathematics
Analyzes systems of linear equations; vector spaces; linear dependence; bases; dimension; linear mappings; matrices; determinants; eigenvalues; eigenvectors; coordinates; diagonalization; inner product spaces. Prerequisite: APMA 2120 or equivalent.
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 APMA 2512 Topic #1 Honors Engineering Math II and CS 1110 or CS 1111 or CS 1112
Examines variability and its impact on decision-making. Introduces students to basic concepts of probability, such as random variables, probability distribution functions, and the central limit theorem. Based on this foundation, the course then emphasizes applied statistics covering topics such as descriptive statistics, statistical inference, confidence intervals, hypothesis testing, correlation, regression modeling, statistical quality control. Students cannot receive credit for both this course and APMA 3120. Prerequisite: APMA 2120 or equivalent.
Applies mathematical techniques to special problems of current interest. Topic for each semester are announced at the time of course enrollment.
Topics vary from year to year and are selected to fill special needs of graduate students.
For doctoral students.