Engineering Mathematics V

Module code: MAU33E01 · Semester: Semester 1

Themes: Theme 1: Energy; Theme 2: Bioengineering/Manufacturing; Theme 3: Mechanical/Manufacturing

Questions by Year

0 of 14 done · tick papers and add notes as you go

• 2025/26
• 2024/25
• 2023/24
• 2022/23
• 2021/22
• 2020/21
• 2019/20
• 2018/19 (old code MA3E1)
• 2017/18 (old code MA3E1)
• 2016/17 (old code MA3E1)
• 2015/16 (old code MA3E1)
• 2014/15 (old code MA3E1)
• 2013/14 (old code MA3E1)
• 2012/13 (old code MA3E1)

Papers open on tcd.ie (sign in to TCD first).

Topics

• Real and complex Fourier series; half-range expansions; ODEs LO1
• Fourier transform, frequencies and convolution LO2
• Laplace, heat and wave equations; D'Alembert's solution; separation of variables LO2–3
• Linear programming: simplex and two-phase simplex LO4
• Duality in linear programming LO5

Learning outcomes

1. Find Fourier series coefficients and use them to solve differential equations
2. Find Fourier transforms and use them for the heat and wave equations on infinite domains
3. Solve the heat, wave and Laplace equations with separation of variables or Fourier methods
4. Solve linear programs with the simplex and two-phase simplex methods
5. Form the dual of a linear program and use duality theorems

Summarised from the module descriptor, checked November 2026.