ENG 281: ENGINEERING MATH 1 (200 LVL)

Categories: Engineering
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About Course

introduction to engineering math and the basics, A prerequisite to understanding the scientific world of engineering

for the outline, ENG 281 consists of ;

Limits and continuity

Differentiation; its Techniques, application, equation of a straight line, and Tangents and Normal to a curve at a given curvature.

Integration; Techniques, Application, Areas under curves, and Volume of Solids of Revolution.

Linear algebras; Matrices, matrix notations, Equal matrices, Addition and Subtraction of Matrices, Transpose of a Matrix, Special matrices, Determinant of a square Matrix, Inverse of a square matrix linear systems, Solution of a set linear Equations, and Eigen Values and Eigen Vectors

Introduction to MATLAB and MATHCAD programming; General Introduction, Matrices, Entering a matrix notation definition, addition and subtraction of matrices, Scalar multiplications of two matrices, Elemental multiplication of two matrices, Transpose of a Matrix, Determinant of a matrix, Inverse of a matrix, Solution of a set of linear equations, Differentiating a  function, Differentiating a  function for x, Differentiating a  function for Pe, Exponential and trigonometry functions, Differentiating functions for different variables, Integrating a function; Indefinite integral, definite integral, Plotting graph; putting x and y labels, Legend for multiline plot, inserting tick marks, and Finding the eigenvalues of a Matrix

SUGGESTED TEXTBOOKS :

ENGINEERING MATHEMATICS BY KA STROUD

CALCULUS WITH ANALYTIC GEOMETRY BY EW SWOKOWSKI

 

 

 

 

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What Will You Learn?

  • Limits and continuity 
  • Differentiation; its Techniques, application, equation of a straight line, and Tangents and Normal to a curve at a given curvature.
  • Integration; Techniques, Application, Areas under curves, and Volume of Solids of Revolution.
  • Linear algebras; Matrices, matrix notations, Equal matrices, Addition and Subtraction of Matrices, Transpose of a Matrix, Special matrices, Determinant of a square Matrix, Inverse of a square matrix linear systems, Solution of a set linear Equations, and Eigen Values and Eigen Vectors  
  •  Introduction to MATLAB and MATHCAD programming; General Introduction, Matrices, Entering a matrix notation definition, addition and subtraction of matrices, Scalar multiplications of two matrices, Elemental multiplication of two matrices, Transpose of a Matrix, Determinant of a matrix, Inverse of a matrix, Solution of a set of linear equations, Differentiating a  function, Differentiating a  function for x, Differentiating a  function for Pe, Exponential and trigonometry functions, Differentiating functions for different variables, Integrating a function; Indefinite integral, definite integral, Plotting graph; putting x and y labels, Legend for multiline plot, inserting tick marks, and Finding the eigenvalues of a Matrix 

Course Content

LIMIT AND CONTIUITY
Limits and continuity are fundamental concepts in calculus. Limits refer to the behavior of a function as its independent variable approaches a specific value. Continuity, on the other hand, focuses on the smoothness and connectedness of a function

DIFFERNTIATION
Learn how to differentiate in different forms; with respect to a value, using product rule, quotient rule, chain rule, logarithmic differentiation and even differentiating by parts.

MATRICES
Learn about matrices, their notations, equal matrices, addition and subtraction, transposing matrices, eigen vectors and values etc

INTEGRATION
learn how to differentiate, their applications and techniques

ENGINEERING MATH TEXTBOOK
Acquire all the things you need to know from the textbook