Foundation Mathematics 2
| Code | School | Level | Credits | Semesters |
| MTHSF002 | Mathematical Sciences | 0 | 20 | Spring UK |
- Code
- MTHSF002
- School
- Mathematical Sciences
- Level
- 0
- Credits
- 20
- Semesters
- Spring UK
Summary
This course provides a basic course in calculus and algebra, building on concepts introduced in MTHSF001. Analytical and numerical integration methods are introduced as well as basic differential equations, and vector algebra applied to lines and angles. Complex numbers and basic concepts of probability and statistics are introduced. Application to solving real life problems is developed.
Target Students
Students on an Engineering and Physical Sciences Foundation course.
Co-requisites
Modules you must take in the same academic year, or have taken in a previous year, to enrol in this module:
Classes
- Two 3-hour workshops each week for 11 weeks
- One 1-hour seminar each week for 11 weeks
Each week there will normally be four lectures to introduce key mathematical knowledge, ideas and techniques associated with the module topics. Seminars may be used for testing, going over assignments or general practice and revision. In addition, there will be a one-hour drop-in session each week.
Assessment
- 20% Coursework 1: Assignments
- 20% Coursework 2: Assignment
- 60% Exam 1 (3-hour): 2.5-hr written examination
Assessed by end of spring semester
Educational Aims
In concert with module MTHSF001,MTHSF002provides a common foundation year provision to equip students with both confidence and competence in a range of fundamental elementary mathematical techniques and basis for advanced mathematical methods used in the study and analysis of engineering and physical science problems. They will join other students, coming direct from A level study and be successful in their transition into year 1.Learning Outcomes
Knowledge and understanding of mathematics necessary to support application of key engineering and scientific principles. To apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering and scientific problems.
On successful completion of this course students will be able to:
L1 - integrate a range of functions and use numerical methods when appropriate.
L2 - apply calculus to modelling basic physical functions, using differential equations.
L3 - use approximations to find roots of algebraic and trigonometric equations.
L4 - manipulate matrices and know how they relate to linear transformations and how to solve two-by-two systems.
L5 - carry out vector algebra. Calculate magnitudes and scalar products.
L6 - Understand vector geometry including the vector equation of a line.
L7 - carry out addition, subtraction, multiplication and subtraction of complex numbers. Convert into polar form.
L8 - compute probabilities using discrete and continuous probability distributions.
There will be assignments, computer tests, an in-class test, and a final exam testing the learning outcomes listed above.