# Mathematics for Civil Engineering 2

## Description

This model delves further into calculus and introduces the students to the concept of differential equations. Students will work with practical examples regarding exponential growth / decay & modelling of environmental systems. This module also introduces the students to statistics & probability distributions. Probability & Uncertainty Principles can be used to calculate likelihoods of extreme weather patterns such as flooding, heat waves etc.

## Learning Outcomes

1. Calculate theoretical and empiral probabilities. Determine probability distributions using the Poisson and Binomial.   Test for normality, associated probabilites and determine confidence intervals.

2. Compute determinants of 3 x 3 matrices. Understand the relevance, uses and applications of matrices. Perform row operations to solve systems of equations with a comprehension of how row operations relate to simultaneous calculations.

3. Calculate the norms, dot products, cross products and angles between vectors. Use vector methods to find areas, volumes and projections in 3-d space.

4. Find partial derivatives. use partial differentiation to solve appropriate engineering problems. Describe situations where techniques of partial differentiation are used to solve engineering problems.

5. Examine an integrand and plan a suitable method of integration. Calculate areas and volumes of revolution using integral methods.

6. Identify and assemble differential equations  from a description of a physical situation. Recognise the importance of differential calulus in engineering.  Recognise and solve the standard form of three basic types of first order differential equations.

Credits
10
% Coursework 40%
% Final Exam 60%