Introduction to Applied Mathematics

# Overview

### MAM1043H - INTRODUCTION TO APPLIED MATHEMATICS

WHAT’S IT ALL ABOUT? | WHAT YOU NEED TO KNOW: |
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As an introduction to Applied Mathematics and Mathematical modelling, this course is about problem solving...everyday, real-life, huh-how-do-you-do-that problems! To discover what applied mathematics is all about, you will |
INSTRUCTOR: |

– Be introduced to the subtle science and exact arts of approximation, estimation and modelling. – Learn how to harness the power of calculus to model complicated dynamics. – Develop the skills of communicating mathematics to mathematical and non-mathematical audiences. |
OFFICE HOURS: By Appointment CONTACT: jeff@nassp.uct.ac.za |

Most of the models we will develop during the course of the year will require some computer implementation. To this end, you will also learn how to conceptualise, program and execute problems in MATLAB. | COURSE ADMINISTRATOR Mrs Bridgette Cloete |

During the ﬁrst semester, the course will roughly be split into two parts; non-calculus and calculus based. To begin with - and while you’re getting up to speed with differential and integral calculus in your mathematics courses - we will learn a number of really powerful tools for approximating and estimating things. Thereafter we will proceed to understanding how dimensions work and how to use them in problem solving. From the second term onwards we will start to model continuous dynamical processes using the methods of differential calculus. During the second semester, I can teach you how to bottle fame, brew glory, even stopper death...no, not really, but I will teach you how to use the techniques of dimensional analysis and mathematical modelling you learnt in the ﬁrst semester to learn about black holes and chaos and the weather - everything that a good applied mathematician ought to know! | MEETING TIMES: (Semester 1) MWF, 9am in M304 (Semester 2) TH, 9am in M304 TUTORIALS: As per VULA EXERCISE SHEETS COURSE NOTES: Lecture notes are handed out at the end of each section. LECTURE PODCASTS: All lectures for this course are recorded using Profcast software. PAST PAPERS PROJECT INFORMATION Will be made available in due course. |