Undergraduate Course: Mathematics for the Natural Sciences 1a (MATH08072)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 8 (Year 1 Undergraduate)
||Availability||Not available to visiting students
|Summary||The course is a first university level course for students interested in the natural sciences and is compulsory for some degree programmes in the School of Chemistry.
The course provides key basic mathematical skills and leads naturally to calculus in MATH08073 Mathematics for the Natural Sciences 1b.
This course will cover topics in a first university course in Mathematics but not including calculus and includes the following syllabus:
Inequalities, modulus and intervals, numbers and errors.
Functions: the circular, hyperbolic and logarithmic functions and their inverses.
Sets, counting and probability.
Random variables, discrete and continuous probability distributions; the central limit theorem.
Complex numbers: Basic operations, cartesian, polar form.
Basic vector algebra; scalar product, vector product, triple product and geometry.
Matrices, inverses and determinants, linear equations and elimination.
Rank, eigenvalues, eigenvectors.
The course will consist of 3 lectures, 1 workshop each week.
Basic mathematical skills will be developed using on-line quizzes and end of week e-assessments.
Mathematical writing skills will be developed in five written assessments.
Course Delivery Information
|Academic year 2019/20, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
Lecture Hours 33,
Seminar/Tutorial Hours 11,
Supervised Practical/Workshop/Studio Hours 5,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||On-line assessments: 10%, Written Mathematics Assignments: 10%.
Students must pass exam and course overall.
Students repeating the course will be assessed as 100% exam only.
||There will be five opportunities for feedback on written skills. Each lecture is accompanied by an on-line quiz which will provide instant feedback on basic skills.
||Hours & Minutes
|Main Exam Diet S1 (December)|| ||3:00|
|Resit Exam Diet (August)||3:00|
On completion of this course, the student will be able to:
- Have fluency in algebraic and numerical manipulations up to and including the Binomial Theorem as well as manipulating expressions involving polynomial, trigonometric and hyperbolic trigonometric functions.
- Manipulate vectors and matrices up to and including eigenvectors.
- Fluently manipulate complex numbers.
- Find the appropriate tools to use to solve problems involving one or more areas of the syllabus.
- Understand statistical data, computing probabilities and using common probability distributions.
|Students will require a copy of the course textbook. This is currently "Mathematics for the Natural Sciences 1" compiled by Antony Maciocia ISBN:9781787267725. This is a special edition and is available only from Blackwell's bookshop at South Bridge, Edinburgh.|
|Graduate Attributes and Skills
||Students will have key skills in basic algebra, functions, probability, statistics, vectors, matrices and complex numbers.
|Course organiser||Dr David Quinn
|Course secretary||Mrs Frances Reid
Tel: (0131 6)50 4883