Full course description
Students enter this course with a wide variety of backgrounds. For some students who have previously seen very little calculus there will be many new techniques introduced, whereas for other students with a broader prior experience some of the techniques will be familiar. Throughout the course we will illustrate the methods learnt by looking at real problems from different fields where these techniques can be applied and through this applied lens all students will explore new facets of calculus and deepen their knowledge.
The course will discuss;
- Limits and continuity
- Rules of differentiation
- Maxima and Minima
- Implicit differentiation and rates
- Definite integrals
- Applications of integration
- Improper integrals
- Differential Equations
- In this course we provide an introduction to calculus. Emphasis is on an understanding of the basic concepts and techniques, and on developing the practical, computational skills to solve problems from a wide range of application areas.
SCI1010 Basic Mathematical Tools or substantial high school experience in Mathematics (For an indication of the relevant topics, see SCI-M, p. vi-viii). Students who are unsure if this course is suitable for them can contact the coordinator to discuss their situation.
- Waner, S and Costenoble, S.R. (2014). Applied Calculus, 6th edition, international edition. Brooks/Cole, Cenage learning.