Lecturer: Roger Tribe
Term(s): Term 1
Status for Mathematics students: Core for M.O.R.S.E., Data Science and Discrete Maths students
Commitment: 20 lectures, written assignments
Assessment: 15% from assignments and 85% from 2 hour January exam
Recommended prerequisites: MA1K2 Refresher Mathematics.
- MA143 Calculus 2
- MA133 Differential Equations
- MA145 Mathematical Methods and Modelling 2
- MA147 Mathematical Methods and Modelling
Aims: This is the first half of a year long, rigorous, one variable calculus course.
Content: Convergence and divergence for sequences. Completeness of the real numbers. Infinite Series. Continuity for functions on R.
Applications to computational problems and to calculations in probability.
Objectives: Along with the theory listed above, confidence and understanding of careful proof writing.
Real Analysis by Howie, John M, 2001
Mathematical Analysis and Proof, Stirling, David S. G., 1997
Analysis by its History, Hairer, E. and Wanner, G. 2008