Undergraduate Course: Introductory Mathematics with Applications (MATH07004)
|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
|Summary||A foundational course in Mathematics focused on non-specialist 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.
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 well-prepared 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
|High Demand Course?
Course Delivery Information
|Academic year 2022/23, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
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
|Assessment (Further Info)
|Additional Information (Assessment)
||Coursework : 100%
Examination : 0%
There is a final online test at end of course worth 20% of the coursework.
|No Exam Information
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
|The main course material will be presented online. Additional references will be given to outside online material.|
|Graduate Attributes and Skills
|Additional Class Delivery Information
||Delivery of the course is entirely online. The course consists of 10 units.
|Course organiser||Dr Robert Bickerton
Tel: (0131 6)50 5284
|Course secretary||Mrs Frances Reid
Tel: (0131 6)50 4883