Engineering Mathematics II

Module code: MAU11E02 · Semester: 2

Resources

• Module descriptor (Maths Department)

Questions by Year

0 of 13 done · tick papers and add notes as you go

• 2024/25
• 2023/24
• 2022/23
• 2021/22
• 2020/21
• 2019/20
• 2018/19 (old code MA1E02)
• 2017/18 (old code MA1E02)
• 2016/17 (old code MA1E02)
• 2015/16 (old code MA1E02)
• 2014/15 (old code MA1E02)
• 2013/14 (old code MA1E02)
• 2012/13 (old code MA1E02)

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

Topics

• Techniques of integration, improper integrals LO1–3
• First-order differential equations LO4
• Sequences and series: convergence tests, Taylor and Maclaurin series LO5–7
• Vectors, lines and planes in 3D: dot and cross products LO8
• Matrix algebra: Gaussian elimination, inverses, determinants LO9

Learning outcomes

1. Integrate trigonometric and rational functions with standard techniques
2. Use integrals to find volumes, areas and lengths
3. Evaluate improper integrals
4. Set up and solve first-order differential equations
5. Decide whether a sequence converges
6. Test series for convergence
7. Approximate functions with polynomials
8. Solve geometry problems in 3D with vectors
9. Solve linear systems and invert matrices

Summarised from the module descriptor, checked November 2026.