Mathematics 102(A)
Description
This module will provide learners an introduction to linear algebra, calculus, statistics and probability relevant to civil engineering.
The module will develop the students' ability to analyse, solve and understand problems using relevant data in various applications Civil Engineering.
Learning Outcomes
Add and subtract vectors and find the scalar multiple of a vector. Calculate the length and unit vector of a vector.
Add, subtract and multiply matrices. Find the scalar multiple of a matrix. Become familiar with the Zero and Identity matrix and their properties. Invert 2x2 matrices. Solve a system of linear equations with matrices.
Differentiate polynomial, trigonometric, exponential and logarithmic functions. Differentiate using first principles. Differentiate using the product, quotient and chain rules. Calculate the equation of a tangent to a curve. Find the maxima and minima of a function. Calculate rates of change. Calculate velocities and accelerations.
Calculate the mean, median, mode, standard deviation, range and variance of data. Plot a cumulative frequency polygon.
Use the normal distribution to calculate the probability of events.