Many of the calculations done by a working ChE involve Thermodynamics, Physical Chemistry and Kinetics and Catalysis. It's not just adding and subtracting by any means. A firm background in Math is required.
I suggest that you find a copy of Perry's Chemical Engineering Handbook in the library, and thumb through it. You will get an feel for some of the work done.
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Mathematics is applicable on all levels in civil engineering - right through from simple arithmetic to simultaneous partial differential equations.
Structural engineering, hydraulics and geotechnical engineering are all fields that employ mathematical tools such as differential equations, tensor analysis, field theory, numerical methods and operations research.
In engineering, math is essential to calculate the various sectional properties such of strength of the materials to design the elements of various construction and manufacturing processes.
Everything in engineering requires applications of mathematics. Is this a joke? Mathematics is the QUEEN of the sciences. she RULES engineering. Without math, you have no engineering, any kind of engineering. Think of Mathematics as the Venus of the sciences.
Accounting, Engineering(except computer engineering, software engineering and electrical engineering), Physics, Chemistry, etc
The difference between the desgineer and engineer is the math. They both do the same thing except the engineer does the math.
As an engineer, calculations are performed which involves math. When pursuing a Masters degree in engineering, most courses are heavily math.
The technology used in genetic engineering on animals is roughly called animal engineering