# DE4102 – Engineering Mathematics 1

Module code
DE4102
Module title
Engineering Mathematics 1
Prescription
To develop mathematical skills, concepts and understanding in order to perform calculations and solve problems within engineering contexts
Programmes
• EN1603
• SC1101
NZQA Level
Level 4
NZQA Credits
15
Delivery method
• Not Web enabled
Learning hours
Total learning hours
150
Resources required
Learning Outcomes
1. Solve, Manipulate and apply mathematical functions, including application of graphs, where appropriate. (Assessment weighting 50%)
2. Demonstrate a knowledge of differentiation and integration and apply them to problems in an engineering context. (15%)
3. Apply the rules and principles of trigonometry, using both degree and radian measure. (10%)
4. Demonstrate knowledge of complex numbers. (5%)
5. Use spreadsheets to analyse data in an engineering context to perform calculations and present data in an appropriate format. (20% using sheets to show application of items 1-4)
Content
• Rules for manipulating algebraic expression and formulae, including exponents and logs ; Units and unit manipulation; Accuracy of calculations.
• Solve linear, quadratic, exponential, log and simultaneous equations; Analyse graphs of linear, quadratic, exponential, logarithmic and trigonometric (amplitude, frequency, period and phase ) functions.
• Trigonometric identities and formulae; Apply and use degree and radian measure in an engineering context. ;

Differentiation and integration rules and concepts for functions consisting of sums of power terms of the independent variable; Applications of differentiation: slope, rate of change, minima and maxima; Applications of integration: Area under a curve; Numerical differentiation (finite differences) and integration (Riemann sums, Simpson’s rule) using spreadsheets

• Complex numbers on a rectangular plane: rectangular and polar conversion.
• Use spreadsheets for data analysis: graphing and presentation of results.

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