Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title ESSENTIAL MATHEMATICAL SKILLS
Code ENVS117
Coordinator Dr JEH Higham
Geography and Planning
J.E.Higham@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2019-20 Level 4 FHEQ First Semester 15

Aims

To create a firm foundation of mathematics relating to pure maths, physics (mechanics) and statistics.

Learning Outcomes

(LO1) At the end of the module a student should be able to demonstrate a knowledge and understanding of pure mathematics, mathematics mechanics, and statistical mathematics.

(LO2) At the end of the module the student should be able to;

- Demonstrate skills in the application of mathematical methods to the solution of problems.

- Use dimensional analysis and apply it to real world problems.

(LO3) At the end of the module a student should be able to;

- Do simple estimations by hand

- Rearrange algebraic formulae to make the required quantity the subject

- Insert values in a formula and calculate the correct answer

- Basic calculus.

(S1) Problem solving skills

(S2) Numeracy

Syllabus
 

The first six weeks of the module will focus on pure mathematics. In these six week the following topics will be covered:

- The history of mathematics and why it is needed in Environmental Sciences
- Dimensional analysis and estimation
- Algebra
- Trigonometry
- Decays and Logs
- Calculus

The following three weeks will cover mathematics mechanics. In these three weeks the pure maths learned from the first six weeks will be applied into real applications, covering topics such as:

- Newtons Laws and Energy
- Centres of mass
- Resolving forces, impulse and momentum.

The final two weeks will cover basic statistics. In these lectures simple statistical methods will be introduced, such as:

- First, second and third order statistics.
- Advanced statistical methods.

The final week will revise all topics covered in the module.

Teaching and Learning Strategies

Teaching Method 1 - Lecture
Description:
Attendance Recorded: Yes
Lectures are provided via PowerPoint. There are OHP examples of some problems. Supplementary videos will be available on VITAL.

Teaching Method 2 - Practical
Weekly two-hour workshop sessions allow the students to practice the ideas presented during the lectures. In each practical a different problem sheet will be provided. The answers to which will also be provided, but not the solutions.
Attendance Recorded: Yes

Teaching Schedule
  Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
Study Hours 12

         24

 36
Timetable (if known)              
Private Study 114
TOTAL HOURS 150

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Assessment 1 There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :1  180 minutes.    100       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
             

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.