INU0115 : Mathematics for Physical Sciences and Engineering 2
INU0115 : Mathematics for Physical Sciences and Engineering 2
- Offered for Year: 2025/26
- Module Leader(s): Dr Tanya Morgan
- Co-Module Leader: Mr Keith Howlett
- Lecturer: Dr Adrian Jannetta
- Owning School: INTO Newcastle University
- Teaching Location: Newcastle City Campus
Semesters
Your programme is made up of credits, the total differs on programme to programme.
| Semester 1 Credit Value: | 10 |
| Semester 2 Credit Value: | 10 |
| ECTS Credits: | 10.0 |
| European Credit Transfer System | |
Pre-requisite
Modules you must have done previously to study this module
Pre Requisite Comment
None
Co-Requisite
Modules you need to take at the same time
Co Requisite Comment
None
Aims
To introduce students to, or to extend knowledge of, various topics in pure mathematics essential for further study in physical sciences and engineering including calculus.
Outline Of Syllabus
Indices, surds and logarithms
Trig equations and identities
Solving triangles (sine and cosine rules)
Rules for differentiation
Applications of differentiation (stationary values and optimisation problems)
Rules for integration
First order separable differential equations
Growth and decay problems
Parametric equations
Partial differentiation
Vector calculus (displacement, velocity, acceleration)
Circular motion and simple harmonic motion
Learning Outcomes
Intended Knowledge Outcomes
After completing the module students should be able to:
• Solve any triangle given enough information about sides and angles.
• Solve trigonometric equations to a specified accuracy over a given domain.
• Apply the principles of calculus and identify the link between differentiation and integration.
• Apply differentiation to solve optimisation problems.
• Calculate areas, volumes of revolution, mean and rms values using integration.
• Differentiate or integrate a wide range of well-behaved functions.
• Find partial derivatives of multivariable function and solve problems involving small increments and errors.
Intended Skill Outcomes
After completing the module students should be able to:
• Solve problems of limited complexity using algebra, trigonometry and calculus as appropriate.
• Research and study previously unseen mathematical methods in order to solve new problems of limited complexity.
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Scheduled Learning And Teaching Activities | Lecture | 22 | 1:00 | 22:00 | Lectures (in person) |
| Guided Independent Study | Assessment preparation and completion | 1 | 12:00 | 12:00 | Semester 2 Written Examination |
| Guided Independent Study | Assessment preparation and completion | 1 | 8:00 | 8:00 | Semester 1 Written Examination |
| Guided Independent Study | Assessment preparation and completion | 1 | 10:00 | 10:00 | Formative Assessments |
| Guided Independent Study | Assessment preparation and completion | 1 | 6:00 | 6:00 | Semester 1 routine computer assessment |
| Guided Independent Study | Assessment preparation and completion | 1 | 4:00 | 4:00 | Semester 1 routine computer assessments |
| Scheduled Learning And Teaching Activities | Small group teaching | 66 | 1:00 | 66:00 | Tutorials |
| Guided Independent Study | Independent study | 1 | 72:00 | 72:00 | N/A |
| Total | 200:00 |
Teaching Rationale And Relationship
The lectures introduce students to the required topics and give students a grounding in the principles of the subject area. Seminars and tutorials are used for more in-depth investigation and discussion of selected topics. In-course tests will allow formative feedback to be provided. The coursework enables students to practice solving numerical problems and to get formative feedback to enable them to gauge their progress
Reading Lists
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Written Examination | 100 | 1 | A | 25 | Written examination on Sem 1 work - NUMBAS test |
| Written Examination | 120 | 2 | A | 35 | Written examination on Sem 2 work - NUMBAS test |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Computer assessment | 1 | M | 5 | Routine test to ensure regular work - NUMBAS test |
| Computer assessment | 1 | M | 10 | Routine test to ensure regular work - NUMBAS test |
| Computer assessment | 2 | M | 5 | Routine test to ensure regular work - NUMBAS test |
| Computer assessment | 2 | M | 20 | Routine test to ensure regular work - NUMBAS test |
Formative Assessments
Formative Assessment is an assessment which develops your skills in being assessed, allows for you to receive feedback, and prepares you for being assessed. However, it does not count to your final mark.
| Description | Semester | When Set | Comment |
|---|---|---|---|
| Computer assessment | 1 | M | NUMBAS tests |
| Computer assessment | 2 | M | NUMBAS tests |
Assessment Rationale And Relationship
The unseen written examinations and in-course computer-based tests assess the students’ knowledge of the subject material. The computer-based tests allow immediate formative feedback to enable the student to gauge their progress. The assessment is weighted heavier in Semester 2 to allow students to develop their knowledge base.
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- INU0115's Timetable
Past Exam Papers
- Exam Papers Online : www.ncl.ac.uk/exam.papers/
- INU0115's past Exam Papers
General Notes
Original Handbook text:
Welcome to Newcastle University Module Catalogue
This is where you will be able to find all key information about modules on your programme of study. It will help you make an informed decision on the options available to you within your programme.
You may have some queries about the modules available to you. Your school office will be able to signpost you to someone who will support you with any queries.
Disclaimer
The information contained within the Module Catalogue relates to the 2025 academic year.
In accordance with University Terms and Conditions, the University makes all reasonable efforts to deliver the modules as described.
Modules may be amended on an annual basis to take account of changing staff expertise, developments in the discipline, the requirements of external bodies and partners, staffing changes, and student feedback. Module information for the 2026/27 entry will be published here in early-April 2026. Queries about information in the Module Catalogue should in the first instance be addressed to your School Office.