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 GA Paterson
Earth, Ocean and Ecological Sciences
Greig.Paterson@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2023-24 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) Demonstrate knowledge and understanding of pure mathematics, mathematics mechanics and statistical mathematics

(LO2) Apply an arsenal of mathematical tools in solving problems and systems through algebra and basic calculus

(LO3) Test and use a suite of mathematical tools to solve real-world and theoretical problems

(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 its need for Environmental Sciences
- Dimensional analysis and estimation
- Algebra
- Trigonometry
- 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: A one hour lecture given on campus delivered through an iPad.
Attendance Recorded: Yes

Teaching Method 2 - Practical (Synchronous online)
Weekly two-hour on-campus 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 11

         22

8

 41
Timetable (if known)              
Private Study 116
TOTAL HOURS 157

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Written Exam. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When): 1  180    50       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Online Quiz 1. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When): 1  0    10       
Online Quiz 5. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When): 1  0    10       
Online Quiz 4. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When): 1  0    10       
Online Quiz 2. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When): 1  0    10       
Online Quiz 3. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When): 1  0    10       

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