### SFY0004 : Foundation Mathematics 2

• Module Leader(s): Dr John Appleby
• Owning School: Mechanical & Systems Engineering
##### 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
Guided Independent StudyAssessment preparation and completion11:301:30Written Exam
Scheduled Learning And Teaching ActivitiesLecture241:0024:00N/A
Guided Independent StudyAssessment preparation and completion14:004:00Assessed homework, worth 10% of overall assessment.
Guided Independent StudyAssessment preparation and completion112:0012:00Exam Revision
Scheduled Learning And Teaching ActivitiesSmall group teaching61:006:00N/A
Guided Independent StudyIndependent study152:3052:30N/A
Total100:00
##### 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 Examination902A90N/A
##### Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises2M10Homework
##### 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.