Undergraduate Course: Introductory Mathematics with Applications (MATH07004)
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  A foundational course in Mathematics focused on nonspecialist students willing to consolidate and build their previous mathematics education to better prepare for a wide variety of degrees.
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 acknowledges the cumulative nature of mathematics, and is intended for entering students who wish to consolidate and improve their understanding of mathematics by studying core mathematical topics in more depth. On successful completion, students will be wellprepared to apply mathematics in a wide range of disciplines for continuing undergraduate studies outside University mathematics or highly quantitative STEM subjects. The modules are centred around elementary functions and graphs, elementary algebra, solving equations, sequences and series. Elementary calculus concepts will be discussed.
The central topics are as follows:
1. Quadratic functions and their graphs.
2. Polynomials, functions, graphs, and their inverses.
3. Mathematical reasoning and writing mathematical arguments.
4. Exponential and logarithmic functions.
5. Trigonometric functions using radian measure.
6. The circle (its geometry, as an implicit algebraic function, and as a parametric trigonometric function).
7. Simultaneous equations (2 linear equations, or linear and quadratic), algebraic and graphical methods for solution.
8. Arithmetic and geometric sequences and series.
9. The binomial theorem, and binomial coefficients.
10. Calculus concepts: notion of limit, rate of change, and area.

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

Academic year 2023/24, Available to all students (SV1)

Quota: 50 
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,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
137 )

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

Additional Information (Assessment) 
Coursework : 100%
Examination : 0%
There is a final online test at end of course worth 20% of the coursework. 
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 
Additional Class Delivery Information 
Delivery of the course is entirely online. The course consists of 10 units. 
Keywords  IMA 
Contacts
Course organiser  Dr Robert Bickerton
Tel: (0131 6)50 5284
Email: r.bickerton@ed.ac.uk 
Course secretary  Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk 

