MATH2731: Computational Mathematics II

• One of:
• Calculus I (Maths Hons) (MATH1081) OR Calculus 1 (MATH1061)
• AND one of:
• Linear Algebra I (Maths Hons) (MATH1091) OR Linear Algebra 1 (MATH1071)
• AND one of:
• Programming I (MATH1587) OR Discovery Skills in Physics (PHYS1011) OR Computational Thinking (COMP1051) OR Programming (COMP1101 or COMP 1111)

• None

• None

• Students will develop practical computational skills for work and study in modern mathematics;
• Students will understand and be able to employ fundamental methods in numerical mathematics and symbolic computation;
• Students will develop writing and presentation skills by completing an independent computational project that expands on the material taught in the course.

• LaTeX, scientific computing & computer algebra.
• Linear & nonlinear systems of equations, interpolation.
• Differentiation & integration (numerical and symbolic).
• Finite differences, stability of finite-difference methods (A/L-stability), practical issues
• Additional computational topics in mathematics.

Subject-specific Knowledge:

• The ability to understand and apply core concepts of numerical and symbolic representations of mathematical objects and processes.

Subject-specific Skills:

• Represent mathematical objects and structures in numerical, symbolic, and typesetting formats (e.g. LaTeX);
• Use computers to solve practical problems in different areas of mathematics, both numerically and symbolically.

Key Skills:

• Write, discuss, and present coherent mathematical arguments which make use of computational methods and skills.

• Lectures introduce the basic concepts and provide general feedback.
• Computer Skills Workshops (weekly) provide support for general computing problems.
• Project Workshops provide support for a student's chosen project.
• Weekly summative e-assessments give important continuous feedback.
• Lab exercise reports help students keep up with the material and demonstrate engagement.
• The independent project extends and synthesises the research and presentation skills gained in the course.

Project and computer skills workshops will provide hands-on feedback for student work. E-Assessments will provide direct feedback continuously.

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