MATH06059 2013 Mathematics 2
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 trig functions
Solve optimisation, area and volume problems using calculus
Calculate the mean, median, mode, standard deviation and variance of data
Apply probability rules to calculate the probability of events
Solve first order differential equations using seperation of variables
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 using product, quotient and chain rules applied to various problem
- Applications of differentiation to engineering problems of velocity, acceleration, maximum, minimum and points of inflection. Differentiation of parametric and implicit functions. Finding tangent and normal to explicit and implicit functions. Use of logarithmic differentiation
- 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 functions. Use trigonometric substitution to integrate problems of the type sin^{2}x ,sin^{3}x etc
- First order differential equations: separation of variables method.
- 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 | Continuous Assessment | Continuous Assessment | UNKNOWN | 15 % | Week 12 | 1,2,4 |
2 | Continuous Assessment | Continuous Assessment | UNKNOWN | 15 % | OnGoing | 3,4,6,7 |
3 | Continuous Assessment Formative | Formative | UNKNOWN | - % | OnGoing | 1,2,3,4,5,6,7 |
End of Semester / Year Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Final Exam | Final Exam | UNKNOWN | 70 % | End of Term | 1,2,3,4,5,6,7 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Flat Classroom | Theory | 4 | Weekly | 4.00 |
Tutorial | Computer Laboratory | Tutorial | 2 | Weekly | 2.00 |
Independent Learning | UNKNOWN | Review of course work | 6 | Weekly | 6.00 |
Module Resources
Authors |
Title |
Publishers |
Year |
K.A.Stroud |
Engineering Mathematics |
Palgrave and Macmillan |
2013 |
Moodle, Adobe Connect,
None