MA142 Calculus 1
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
Synergies: specifically:
- 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.
Books:
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