Engineering Mathematics I

Module code: MAU11E01 · Semester: 1

Resources

• Module descriptor (Maths Department)

Questions by Year

0 of 12 done · tick papers and add notes as you go

• 2023/24
• 2022/23
• 2021/22
• 2020/21
• 2019/20
• 2018/19 (old code MA1E01)
• 2017/18 (old code MA1E01)
• 2016/17 (old code MA1E01)
• 2015/16 (old code MA1E01)
• 2014/15 (old code MA1E01)
• 2013/14 (old code MA1E01)
• 2012/13 (old code MA1E01)

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

Topics

• Functions: domain and range, inverses, algebraic, rational and trigonometric functions LO1
• Limits and continuity: one-sided limits, limits at infinity, asymptotes, intermediate value property LO1
• Differentiation: rules, implicit differentiation, linear approximation LO1–2
• Applications of derivatives: curve sketching, optimisation, related rates, Newton-Raphson LO2
• Integration: Riemann sums, antiderivatives, substitution, fundamental theorem of calculus LO3
• Applications of integrals: area between curves, volumes and surface areas of revolution, arc length LO4

Learning outcomes

1. Turn practical problems into mathematics and analyse them with single-variable calculus
2. Use derivatives to find maximum and minimum values
3. Evaluate definite integrals with a range of integration methods
4. Use integrals to find volumes, areas and lengths

Summarised from the module descriptor, checked November 2026.