MATH06058 2012 Mathematics 201
Use differentiation and integration techniques and apply calculus and probability rules to various data and events
Learning Outcomes
On completion of this module the learner will/should be able to;
Apply differentiation and integration techniques to algebraic, exponential, logarithmic, trignometric and inverse trignometric functions
Solve first order differential equations using seperation of variables
Solve optimisation, area and volume problems using calculus
Apply probability rules to calculate the probability of events
Calculate the mean, median, mode, standard deviation and variance of data
Use the standard normal distribution to calculate the probability of events
Solve a set of 3x3 simultaneous equations by a matrix method
Indicative Syllabus
- Review differentiation using product ,quotient and chain rules applied to various functions
- Applications of differentiation to engineering problems of velocity, acceleration, maximum, minimum and points of inflection. Differentiation of parametric and implicit functions. Apply logarithmic differentiationFinding tangents and normals to explicit and implicit functions.
- Partial differentiation of functions such as z =f(x,y,w) and its application in finding small incremental changes and rate of change problems.
- Compute the mean, median, mode, standard deviation and variance of data
- Calculate the probability of simple events and the probability associated with binomial and normal distributions
- Integration of x^{n} , sin(f(x)), cos(f(x)), e^{f(x)}), ln(f(x)). Use methods of substitution, partial fractions, and integration by parts to integrate further fnctions. Use trigonometric substitution to integrate problems of the type sin^{2}x,sin^{3}x etc
- First order differential equations: separation of the variables.
- Properties of m X n matrices and the addition, subtraction, multiplication and scalar multiples of these matrices. Inverses of 3 X 3 matrices, solution of systems of equations and applications.
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Multiple Choice | Formative | UNKNOWN | - % | OnGoing | 1,2,3,4,5,6,7 |
2 | Continuous Assessment Assessment | Continuous Assessment | UNKNOWN | 15 % | OnGoing | 1,2,3,4,5,6,7 |
3 | Continuous Assessment Continuous Assessment | Continuous Assessment | UNKNOWN | 15 % | Week 6 | 1,2,5 |
End of Semester / Year Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Final Exam | Final Exam | UNKNOWN | 70 % | End of Year | 1,2,3,4,5,6,7 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Flat Classroom | Theory | 3 | Weekly | 3.00 |
Tutorial | Computer Laboratory | Tutorial | 3 | Weekly | 3.00 |
Independent Learning | UNKNOWN | Review of Course Material | 3 | Weekly | 3.00 |
Module Resources
Authors |
Title |
Publishers |
Year |
K.A.Stroud |
Engineering Mathematics |
Palgrave and Macmillan |
2013 |
Moodle, Adobe Connect,
None