Module MA1125: Single-Variable Calculus and Introductionary Analysis
- Credit weighting (ECTS)
- Semester/term taught
Michaelmas term 2018-19
- Contact Hours
11 weeks, 5 lectures plus tutorials per week
- Prof Paschalis Karageorgis
- Learning Outcomes
- On successful completion of this module students will be able to
- Determine whether a given relation is a function or not, and
whether an inverse function exists.
- Find limits and determine whether given functions are continuous or
- Differentiate functions and use derivatives to graph functions,
solve extremal problems and related rates problems.
- Integrate functions using substitution, integration by parts,
partial fractions and reduction formulae.
- Find areas, volumes, length of curves, averages and work done.
- Solve simple first order differential equations and higher order
linear homogeneous differential equations.
- Determine whether a given sequence or series converges or not.
- Determine where a given power series converges absolutely,
converges conditionally or diverges.
- Module Content
- This course is mainly the study of the theory and practical uses of the
Differential and Integral Calculus. Topics covered include
Textbook: The textbook that will be followed is
- Limits and Continuity
- Derivatives: Theory and Applications
- Integration: Theory and Applications
- Transcendental Functions
- Modelling and Differential Equations
- Sequences and Series
Calculus, by Anton, Bivens, Davis
Publisher, Wiley and Son
- Module Prerequisite
- None for students admitted to the Mathematics, Theoretical Physics or
- Assessment Detail
- This module will be examined in a 3 hour examination in Michaelmas term. Continuous assessment will contribute 15% to the final grade for the module at the annual