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# Engineering Mathematics I

Catalog Description: 3 CREDITS, (Required) Complex numbers, matrices, determinants, systems
of equations , diagonalization, first and second order linear differential equations and systems thereof ,
including power series solutions.

Prerequisites : MAC 2254 Calculus for Engineers II or MAC 2312 Calculus with Analytic Geometry II

Textbook: Boyce, W. E. and R. C. DiPrima. Elementary Differential Equations and Boundary Value
Problems. 8th Edition. Wiley. 2004.

Dettman, J. W. Introduction to Linear Algebra and Differential Equations . Dover Publications. 1986.

Course Learning Outcomes: (letters in parentheses indicate correlation of the outcome with the
appropriate ABET Outcomes a‐k)
1. Students will be able to solve linear equations and perform matrix operations. (a,k)
2. Students will be able to use eigenvectors to represent an arbitrary vector. (a,k)
3. Students will be able to solve constant coefficient linear differential equations. (a,k)
4. Students will be able to use Laplace Transforms. (a,k)

Topics:
1. Complex numbers
2. Solving linear equations ; determinants; inverse matrix
3. Eigenvalues, eigenvectors and condition numbers
4. Linear ordinary differential equations
5. Properties of Laplace Transforms
6. Solution of linear ODE by Laplace transform

Course Schedule: 4 class periods per week, 50‐minute periods

Contribution to Criterion 5: This mathematics course contributes to the one year of college level
mathematics and basic sciences in the curriculum and provides the students with analytical tools
necessary for the analysis of engineering systems in accordance with Program Outcome 2.

Relationship to Program Outcomes:

ABET/SACS Course Outcomes

Mapping of this course to the BSCV Educational Outcomes
(H = high correlation, M = medium correlation, L = low correlation )

 RELATIONSHIP TO PROGRAM OUTCOMES Outcome 1: An understanding of professional and ethical responsibility. L Outcome 2: A working knowledge of fundamentals, engineering tools, and experimental methodologies . Outcome 3: An understanding of the social, economic, and political contexts in which engineers must function. L Outcome 4: An ability to plan and execute an engineering design to meet an identified need. L Outcome 5: An ability to function on multi‐disciplinary teams. L Outcome 6: An ability to communicate effectively. L Outcome 7: Graduates will have a proficiency in the following areas of civil engineering: (a) structural eng. (b) transportation eng., (c) geotechnical eng., (d) water resources, and (e) environmental engineering. L Outcome 8: Graduate will have an adequate appreciation for the role of civil engineering in infrastructure planning and sustainability including safety, risk assessment, and hazard mitigation. L Outcome 9: Graduates will be successful in finding professional employment and/or pursuing further academic studies. L
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