Undergraduate Course: Fundamentals of Algebra and Calculus (MATH07003)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 7 (Year 1 Undergraduate) 
Availability  Available to all students 
SCQF Credits  20 
ECTS Credits  10 
Summary  An introductory course in University Mathematics covering topics not covered in the previous education of many incoming undergraduates on degrees involving Mathematics.
Delivery of the course is principally online. The main content of the course consists of weekly units. Each unit contains an online test for credit.

Course description 
This course is intended for entering students who will be studying the first year mathematics courses as part of their programmes. The course introduces and develops a range of topics that incoming undergraduates may not have previously studied, or may benefit from studying in more depth. On successful completion, students will be wellprepared for continuing University mathematics. The modules are centred around calculus (particularly integration) and algebra (with topics such as complex numbers and more advanced use of vectors).
The central topics are as follows.
Algebra
1. Vectors
2. Polynomials and rational functions
3. Functions (including trigonometric, exponential and logarithmic)
4. Complex numbers
5. Sequences and series
Calculus
1. Principles and techniques of differentiation
2. Further techniques and applications of differentiation
3. Principles of integration
4. Methods of integration
5. Applications of integration

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2019/20, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 1,
Seminar/Tutorial Hours 1,
Online Activities 55,
Revision Session Hours 1,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
138 )

Assessment (Further Info) 
Written Exam
0 %,
Coursework
100 %,
Practical Exam
0 %

Additional Information (Assessment) 
80% calculated from scores on successful unit tests
20% final exam.
There is a final online test at end of course. Minimal score of 40% required to pass course.

Feedback 
Not entered 
No Exam Information 
Learning Outcomes
On completion of this course, the student will be able to:
 Demonstrate an ability to calculate efficiently and reliably using standard procedures in the topics covered;
 Demonstrate basic conceptual understanding of the topics covered;
 Combine the methods taught in the course with each other and with prior mathematical learning to solve problems;
 Apply the ideas and techniques taught in straightforward modelling situations or novel contexts;
 Study mathematical materials independently and monitor their learning, managing their independent study time effectively.

Reading List
The main course material will be presented online. Additional references will be given to outside online material. 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  FAC 
Contacts
Course organiser  Dr George Kinnear
Tel: (0131 6)50 5052
Email: G.Kinnear@ed.ac.uk 
Course secretary  Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk 

