ETM1015 · Calculus 1

Overview

In this unit, you will learn several fundamental mathematical concepts and techniques in introductory and intermediate calculus. Specifically, you will be exposed to the fundamental concepts and important theories on sets and functions, limits and continuity, differentiation, integration, elementary matrix algebra including an introduction to matrices and vectors, elementary matrix operations, special matrices, inner products, outer products and norms of vectors, determinants of square matrices, inverse matrices, and using matrix algebra to present and analyse the linear regression model, and sequences and series including sequence, infinite series, the integral test, comparison tests, absolute convergence, the ratio and root tests, alternating series test, conditional convergence, power series, Taylor and Maclaurin series. Upon unit completion, you will develop essential mathematical skills in differentiation, integration and algebraic manipulation which will provide sufficient expertise for use in the subsequent units.

Offerings

Assessment

The Handbook lists an examination for this unit.

Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.

Requisites

The Handbook lists no prerequisite, corequisite or prohibition for this unit.

Learning outcomes

1. compute limits and evaluate the continuity of functions using standard algebraic techniques and other relevant theorems.
2. compute indefinite and definite integrals of various types of functions and apply integration to solve problems.
3. carry out matrix operations, including inverses and determinants.
4. apply the definitions of limits and convergence in the context of sequences and series of real numbers, and compute limits of sequences involving several types of elementary functions.

Workload

Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of scheduled learning activities and independent study. Independent study may include associated readings, assessment and preparation for scheduled activities. You are expected to complete all pre-class activities prior to your scheduled class, and post-class activities should be completed after your scheduled class. Learning activities may include a combination of teacher directed, peer directed and online engagement activities.

Student experience, not official rules. Nothing here changes what the Handbook says.