APPM 1350 - Calculus 1 for Engineers
Primary Instructor
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Fall 2019 / Fall 2020
Topics in analytical geometry and calculus including limits, rates of change of functions, derivatives and integrals of algebraic and transcendental functions, applications of differentiations and integration. Students who have already earned college credit for calculus 1 are eligible to enroll in this course if they want to solidify their knowledge base in calculus 1. For more information about the math placement referred to in the "Enrollment Requirements", contact your academic advisor. Degree credit not granted for this course and APPM 1345 or ECON 1088 or MATH 1081 or MATH 1300 or MATH 1310 or MATH 1330.
APPM 1360 - Calculus 2 for Engineers
Primary Instructor
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Fall 2018 / Fall 2019 / Spring 2024
Continuation of APPM 1350. Focuses on applications of the definite integral, methods of integration, improper integrals, Taylor's theorem, and infinite series. Degree credit not granted for this course and MATH 2300.
APPM 2350 - Calculus 3 for Engineers
Primary Instructor
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Spring 2018 / Spring 2020 / Spring 2023 / Fall 2023
Covers multivariable calculus, vector analysis, and theorems of Gauss, Green, and Stokes. Degree credit not granted for this course and MATH 2400.
APPM 2360 - Introduction to Differential Equations with Linear Algebra
Primary Instructor
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Spring 2019 / Spring 2021 / Fall 2021 / Spring 2022 / Fall 2022
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Credit not granted for this course and both MATH 2130 and MATH 3430.
APPM 3050 - Scientific Computing in Matlab
Primary Instructor
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Spring 2018 / Spring 2019 / Spring 2020 / Spring 2021 / Spring 2022 / Spring 2023 / Spring 2024
Topics covered include: approximations in computing, computer arithmetic, interpolation, matrix computations, nonlinear equations, optimization, and initial-value problems with emphasis on the computational cost, efficiency, and accuracy of algorithms. The problem sets are application-oriented with examples taken from orbital mechanics, physics, genetics, and fluid dynamics.
APPM 3350 - Advanced Engineering Calculus
Primary Instructor
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Fall 2018 / Fall 2019 / Fall 2020 / Fall 2021 / Fall 2022 / Fall 2023
Extends the treatment of engineering mathematics beyond the topics covered in Calculus 3 and differential equations. Topics include non-dimensionalization, elementary asymptotics and perturbation theory, Reynold's transport theorem and extensions of Leibnitz's rule, as applied to continuum conservation equations, Hamiltonian formulations, Legendre and Laplace transforms, special functions and their orthogonality properties.
APPM 4380 - Modeling in Applied Mathematics
Primary Instructor
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Fall 2022 / Fall 2023
An exposition of a variety of mathematical models arising in the physical and biological sciences. Students' modeling projects are presented in class. Topics may include: GPS navigation, medical imaging, ocean waves, and computerized facial recognition. Recommended prerequisites: APPM 3310 and APPM 4350 and APPM 4650. Same as APPM 5380.
APPM 4650 - Intermediate Numerical Analysis 1
Primary Instructor
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Summer 2018 / Summer 2019 / Summer 2020 / Summer 2021 / Summer 2022
Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced prerequisite: knowledge of a programming language. Same as MATH 4650.
APPM 4660 - Intermediate Numerical Analysis 2
Primary Instructor
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Spring 2019
Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving partial differential equations. Department enforced prerequisite: knowledge of a programming language. Same as MATH 4660.
APPM 5380 - Modeling in Applied Mathematics
Primary Instructor
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Fall 2022 / Fall 2023
An exposition of a variety of mathematical models arising in the physical and biological sciences. Students' modeling projects are presented in class. Topics may include: GPS navigation, medical imaging, ocean waves, and computerized facial recognition. Department enforced prerequisites: APPM 2350 or MATH 2400 and APPM 2360. Recommended prerequisites: APPM 3310 and APPM 4350 and APPM 4650. Same as APPM 4380.
MATH 4650 - Intermediate Numerical Analysis 1
Primary Instructor
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Summer 2018 / Summer 2019 / Summer 2020 / Summer 2021 / Summer 2022
Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced restriction: knowledge of a programming language. Same as APPM 4650.
MATH 4660 - Intermediate Numerical Analysis 2
Primary Instructor
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Spring 2019
Continuation of MATH 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving partial differential equations. Same as APPM 4660.
MCEN 3012 - Thermodynamics
Primary Instructor
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Summer 2018 / Summer 2019 / Summer 2020 / Summer 2021 / Summer 2022
Explores fundamental concepts and basic theory, including first and second laws of thermodynamics, properties, states, thermodynamic functions and cycles. Same as GEEN 3852.
MCEN 3022 - Heat Transfer
Primary Instructor
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Summer 2023
Studies fundamentals of heat transfer by conduction, convection, and radiation. Emphasizes problem formulation and selection of appropriate solution techniques. Provides applications to modern engineering systems, which may include energy, biological, environmental, and materials engineering problems.
