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Main
UQU Programs
Computer and Network Engineering

Differential equations and Linear Algebra

MTH2143
3 hours English

Differential equations and Linear Algebra

Differential Equations and Linear Algebra
MTH1182 Calculus for Engineering (2)
3 hours One requisite
1 Solve Differential Equations with Engineering Applications (Only Decay & Growth)
2 Separable Equations (Without Applications)
3 Linear First Order Equations
4 Substitution Methods & Exact Equations. (Only Exact Equations)
5 Linear Systems, Matrices & Gaussian Elimination, Reduced Row-Echelon Form, Matrix Operations
6 Inverse Matrices, Determinants & the Adjoint Matrix
7 The Vector Space , and Subspaces
8 Linear Combination & Independence of Vectors, Bases & Dimension for Vector Spaces, Spanning Sets
9 Row & Column Spaces
10 Introduction: Second Order Linear Equations, General Solutions of Linear Equations
11 Homogeneous Equations with Constant Coefficients, Polar Form of a Complex Number
12 Complex Analysis: Arithmetic Operations, Geometry (Polar and Exponential Forms), and Complex-Valued Functions (e.g., Complex Exponential Function and Euler’s formula)
13 Nonhomogeneous Equations & Undetermined Coefficients
14 Method of Variation of Parameters
15 First-Order Systems & Applications
16 Matrices & Linear Systems
17 Introduction to Eigenvalues
18 The Eigenvalue Method for Linear Systems
19 Diagonalization of Matrices
20 Matrix Exponentials & Linear Systems
21 Nonhomogeneous Linear Systems (Only Variation of Parameters Method)
1.1 Mapped to: K1

Understand concepts of linear algebra and its operations, including matrices, determinants, and vector spaces.

Teaching Strategy Class lectures, solving problems and discussion.
Assessment Methods Quizzes, exams, assignments.
1.2 Mapped to: K1

Understand the principles of complex number analysis, including arithmetic operations, polar and exponential forms, and their applications in solving differential equations.

Teaching Strategy Class lectures, solving problems and discussion.
Assessment Methods Quizzes, exams, assignments.
1.3 Mapped to: K1

Understand the role of eigenvalues, eigenvectors, matrix diagonalization, and matrix exponentials in solving linear systems and engineering problems.

Teaching Strategy Class lectures, solving problems and discussion.
Assessment Methods Quizzes, exams, assignments.
2.1 Mapped to: S1

Solve various types of ordinary differential equations, including first-order and second-order equations using methods such as substitution, undetermined coefficients, and variation of parameters

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.2 Mapped to: S1

Use linear algebra techniques, including Gaussian elimination, eigenvalue methods, and matrix exponentials, to solve linear systems of differential equations with constant coefficients.

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.3 Mapped to: S1 (S1 in ABET)

Cognitive Skills: An ability to identify, formulate, and solve problems in the domain of differential equations and linear algebra

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
Assessment
Weight
Midterm Exam
30%
Quizzes
15%
Homework Assignments
15%
Final Exam
40%
Total
100%