# 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. 8^{th} 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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