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CT0001-Linear Algebra and Calculus for Computing
This course aims to develop your knowledge in the mathematics topics of linear algebra and calculus, which provides the basic mathematics foundation that is necessary for anyone pursuing a computing degree course.
Intended Learning Outcomes (ILOs)
By the end of this course, you would be able to:
- Solve linear equations.
- Perform matrix operations and express linear equations in matrix form.
- Find the least squares solution of Ax = b.
- Perform differentiation, integration operation and solve differential equations.
Course Contents
| Linear Equations Scalars and Vectors, System of linear equations; Row reduction and echelon forms; Vector equations; vector norm |
| Matrices Definition of matrices, matrix operations, transpose of a matrix, inverse of a matrix, the matrix equation; Solutions sets of linear equations; Linear independence; The matrix of a linear transformation |
| Orthogonality Inner/dot product, length and orthogonality; Orthogonal sets; Orthogonal projections; Least-squares solutions. |
| Differentiation Limits and derivatives, differentiation rules, partial derivative, chain rule. |
| Integration Indefinite integrals, definite integrals, Fundamental Theorems of Calculus, techniques of integration. |
| Ordinary Differential Equations (ODE) Solutions of first order linear ODE and second order linear ODE with constant coefficients. |
| Class schedule (Online Consultation) | 16 September - 25 October Tuesday (6:30 pm - 8:30 pm) |
| Final Exam (Onsite, NTU Campus)# | 26 October 2024 Saturday 10 am to 11 am |
#Onsite assessment venue at NTU will be announced closer to the final exam date.
| Class schedule (Online Consultation) | 15 Apr - 24 May Tuesday (6:30 pm - 8:30 pm) |
| Final Exam (Onsite, NTU Campus)# | 25 May 2024 Saturday 10 am to 11 am |
#Onsite assessment venue at NTU will be announced closer to the final exam date.
- Each module cost S$250.
- Learners can use their SkillsFuture credits to pay or partially pay for the bridging modules.