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MATH 212: Calculus II
3.00 Credits
University of Richmond
Techniques of integration; applications of integration; improper integrals; Taylor’s Theorem and applications; infinite series; differential equations. Credit will not be given for both Mathematics 212 and 231. Prerequisite: Mathematics 211 or one year of high school AP calculus. 3 sem. hrs. (FSSR) Date Approved: July 1, 2002.
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MATH 219: Introduction to the Design of Experiments
3.00 Credits
University of Richmond
The basic theory and principles related to the design of modern scientific experiments. Topics include: analysis of variance (ANOVA) for experiments with a single factor, multiple comparisons of treatment means, factorial experiments, blocking, randomized block designs, Latin square designs, random effects models, analysis of covariance, nested models, and other topics. Prerequisite(s): Either Mathematics 119, Psychology 200, Chemistry 300, Business Administration 301, or Mathematics 330. Unit(s): 1
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MATH 219 - Introduction to the Design of Experiments
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MATH 231: Scientific Calculus I
3.00 Credits
University of Richmond
Topics of calculus--limits, derivatives, integration--from the perspective of mathematical modeling in the natural sciences. Includes trigonometric, exponential, and logarithmic functions; techniques of integration; error analysis; differentiation of functions of two or more variables. Credit will not be given for both Mathematics 212 and 231. Prerequisite(s): One year of high school calculus or equivalent. General Education Requirement: (FSSR) Unit(s): 1
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MATH 232: Scientific Calculus II
3.00 Credits
University of Richmond
Continuation of Mathematics 231. Taylor polynomial approximations; discrete and continuous probability; models of dynamical systems via difference equations, differential equations, and systems of linear difference equations, including relevant topics from linear algebra. Prerequisite(s): Mathematics 231. General Education Requirement: (FSSR) Unit(s): 1
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MATH 235: Multivariate Calculus
3.00 Credits
University of Richmond
N-dimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, classical integral theorems, applications. Prerequisite(s): Mathematics 212 or 232. General Education Requirement: (FSSR) Unit(s): 1
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MATH 245: Linear Algebra
3.00 Credits
University of Richmond
Vector spaces, matrices, systems of linear equations, linear transformations, applications. Prerequisite(s): Mathematics 212 or 232 or Computer Science 222. Unit(s): 1
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MATH 250: Fundamentals of Abstract Mathematics
3.00 Credits
University of Richmond
Logic, quantifiers, negations of statements with quantifiers, set theory, induction, counting principles, relations and functions, cardinality. Emphasis on methods of proof and proper mathematical expression. Prerequisite(s): Mathematics 212 or 232. Unit(s): 1
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MATH 306-307: Abstract Algebra I and II
3.00 Credits
University of Richmond
Systematic study of the theory of groups, rings and fields. Prerequisite(s): Mathematics 245 and 250. Mathematics 306 is prerequisite to 307. Unit(s): 1-1
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MATH 306-307 - Abstract Algebra I and II
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MATH 310: Advanced Multivariable Calculus
3.00 Credits
University of Richmond
Differentiation of vector-valued functions, Jacobians, integration theorems in several variables. Fourier series, partial differential equations. Prerequisite(s): Mathematics 235. Unit(s): 1
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MATH 310 - Advanced Multivariable Calculus
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MATH 312: Differential Equations
3.00 Credits
University of Richmond
Introduction to ordinary differential equations and their use as models of physical systems. Linear and nonlinear equations and systems of equations, including existence and uniqueness theorems, analytical solution techniques, numerical methods, and qualitative analysis. Includes studies of global behavior and local stability analysis of solutions of nonlinear autonomous systems; bifurcation analysis; Laplace transforms. Application and modeling of real phenomena included throughout. Prerequisite(s): Mathematics 212 or 232. Corequisite: Mathematics 245. Unit(s): 1
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