Math is the back bone of Engineering. There is no Engineering without Maths. But the complexity of mathematics used in Engineering vary with domain.
Electrical/Electronics Engg – Math is used for calculating Current/Voltage in Semocnductor Devices. Semiconductor devices are non-linear, hence lot of math involving calculus
Communication Engineering: Signal Theory is an important part of Comm Engg. Again lot of calculus, probability, Fourier Analysis, FFT,DFT
Computer Science : Algorithms Design involves basic mathematical functions like logarithms, mathematical induction etc. Logic Design involves Boolean Algebra. Discrete Mathematics. And of course basic calculus
Civil Engg: Signal Analysis for structures, basic calculus for dynamics, Elasticity,Geotechnical. Probability for Transportation
Mechanical Engg: Basic Calculus, Math for Finite Element Theory