SFY0004 : Foundation Mathematics 2
- Offered for Year: 2020/21
- Module Leader(s): Dr John Appleby
- Lecturer: Dr Kate Henderson
- Owning School: Engineering
- Teaching Location: Newcastle City Campus
Semesters
| Semester 2 Credit Value: | 10 |
| ECTS Credits: | 5.0 |
Aims
To provide further differential calculus and an introduction to integral calculus. Students who have completed the course will understand elementary differential and integral calculus, including a range of standard techniques and numerical approximation. They will also be familiar with arithmetic and geometric series and binomial expansions.
Outline Of Syllabus
Exponential and logarithmic functions and their derivatives. Methods of differentiation. Newton-Raphson method. Inverse trigonometric functions and their derivatives. Essential ideas of indefinite and definite integrals. Trapezoidal Rule. Methods of integration (including substitution, parts and the use of partial fractions). Finite arithmetic series. Finite and infinite geometric series. Binomial series.
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Scheduled Learning And Teaching Activities | Lecture | 24 | 1:00 | 24:00 | N/A |
| Guided Independent Study | Assessment preparation and completion | 1 | 4:00 | 4:00 | Assessed homework, worth 10% of overall assessment. |
| Guided Independent Study | Assessment preparation and completion | 1 | 12:00 | 12:00 | Exam Revision |
| Guided Independent Study | Assessment preparation and completion | 1 | 1:30 | 1:30 | Written Exam |
| Scheduled Learning And Teaching Activities | Small group teaching | 12 | 1:00 | 12:00 | N/A |
| Guided Independent Study | Independent study | 1 | 46:30 | 46:30 | N/A |
| Total | 100:00 |
Teaching Rationale And Relationship
Lectures will be used to provide the formal framework of the module, demonstrated by the use of appropriate examples.
Tutorial classes will increase student understanding and will give students the opportunity to tackle problems in the presence of, and with advice and encouragement from, staff.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Written Examination | 90 | 2 | A | 90 | N/A |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Prob solv exercises | 2 | M | 10 | Homework |
Assessment Rationale And Relationship
The examination & homework are most appropriate for assessing students' knowledge of the module content and to prepare them for future modules.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- SFY0004's Timetable