Module Descriptors
MATHEMATICAL PRINCIPLES
MATH40229
Key Facts
Faculty of Computing, Engineering and Sciences
Level 4
15 credits
Contact
Leader: Christopher Mann
Email: C.M.Mann@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 36
Independent Study Hours: 114
Total Learning Hours: 150
Assessment
- TEST weighted at 50%
- EXAMINATION - UNSEEN IN EXAMINATION CONDITIONS weighted at 50%
Module Details
Module Special Admissions Requirements
CE61015-1 Mathematical Foundations, or equivalent.
Module Texts
A First Course in Abstract Algebra (International Edition), John B. Fraleigh, Pearson Education; 7 edition, 2002) ISBN-10: 0321156080
Contemporary Linear Algebra, Howard Anton and Robert C. Busby, John Wiley & Sons, 2002, ISBN-10: 0471163627.
Classical Mechanics: An Undergraduate Text, R. Douglas Gregory, Cambridge University Press, 2006, ISBN-10:0521534097.
Contemporary Linear Algebra, Howard Anton and Robert C. Busby, John Wiley & Sons, 2002, ISBN-10: 0471163627.
Classical Mechanics: An Undergraduate Text, R. Douglas Gregory, Cambridge University Press, 2006, ISBN-10:0521534097.
Module Additional Assessment Details
1. A suite of short answer tests - 50% total, learning outcomes 1-3.
2. End Examination - 2 hours - 50% total, learning outcomes 1-3.
Module Indicative Content
Logic and Sets:
Set operators. Logical Operators and truth tables. Methods of proof including induction.
Algebra:
Groups, rings, fields, algebras.
Linear Algebra:
Vectors: Basic properties. Vector spaces, bases, dimension.
Matrices: As linear operators. Basic properties. Eigenvalues, eigenvectors, spectra. Orthogonal matrices and rotation groups. Geometrical applications of matrices.
Mechanics (Vector Based Methods):
Kinematics: motion under constant acceleration.
Kinetics: Newton's Laws. Force, energy, work, power, momentum, impulse.
Problems in 1, 2 and 3 dimensional space, concentrating on linear motion, but not necessarily excluding angular motion.
Set operators. Logical Operators and truth tables. Methods of proof including induction.
Algebra:
Groups, rings, fields, algebras.
Linear Algebra:
Vectors: Basic properties. Vector spaces, bases, dimension.
Matrices: As linear operators. Basic properties. Eigenvalues, eigenvectors, spectra. Orthogonal matrices and rotation groups. Geometrical applications of matrices.
Mechanics (Vector Based Methods):
Kinematics: motion under constant acceleration.
Kinetics: Newton's Laws. Force, energy, work, power, momentum, impulse.
Problems in 1, 2 and 3 dimensional space, concentrating on linear motion, but not necessarily excluding angular motion.
Module Learning Strategies
Class contact will be three hours per week.
The material will be introduced through lectures (2 hours per week), examples classes/ tutorials (1 hour per week in groups of 20 students maximum).
(1:n), (1:20)
THIS MODULE WILL NORMALLY RUN IN SEMESTER 2.
The material will be introduced through lectures (2 hours per week), examples classes/ tutorials (1 hour per week in groups of 20 students maximum).
(1:n), (1:20)
THIS MODULE WILL NORMALLY RUN IN SEMESTER 2.
Module Resources
Internet resources.
Students must possess a suitable mathematical calculator of their own.
Students must possess a suitable mathematical calculator of their own.