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MATH1042A – Engineering Mathematics IA
Course coordinators:

Course credits: 18

Prerequisites

The minimum entry requirement is 60% in Matric (and AS-level, HIGCSE, International Bacculareate, …) and a D in A-levels. Depends on registration in one of the faculty of engineering programmes.

MATH1042A is a 12-week first-semester course and forms the basis of knowledge and skills required in MATH1043A. MATH1042A is a prerequisite for MATH1043A – Engineering Mathematics IB.

Course aims:

The main purpose of this course is to provide students with a basic foundation in differentiation and integration techniques with simple applications, the binomial theorem, simple series and the conic sections in preparation for further study in Engineering Mathematics IB. Topics in Calculus include: Functions; Domain and range of functions; composite functions; Limits and continuity; Differentiation; Applications of differentiation (curve sketching, maxima and minima and rates of change); Antiderivatives, definite and indefinite integrals; Riemann sums; Applications of integration to areas and volumes; the natural logarithmic and exponential functions (transcendental functions). Topics in Algebra include: Radian measure; trigonometric functions; trigonometric equations; polar coordinates; the principle of mathematical induction; Binomial Theorem; conic sections.

MATH1043A - Engineering Mathematics IB
Course coordinators:

Course credits: 18

Prerequisites:

MATH1042A is a prerequisite for MATH1043A – Engineering Mathematics IB. MATH1043 is a 12 week second semester course and builds on the knowledge and skills acquired in MATH1042A.

Course aims:

The main purpose of this course is to provide the students with a basic foundation in differentiation and integration techniques and simple application, the solution of simple differential equations and matrices. Topics in Calculus 1B include: Further techniques of integration and Improper integrals; Sequences and series; Taylor and Maclaurin series; L’H?pital’s rule; Partial differentiation; Ordinary first order differential equations. Topics in Algebra 1B include: Linear systems of equations; Gaussian elimination; matrix algebra; inverse matrices; determinants; inverse matrices by elementary row operations and adjoint-determinant method; Cramer’s rule; dot product and cross product in R3; Vector algebra in R2 and R3; lines and planes in R3 ; complex numbers; modulus argument form of complex numbers; De Moivre’s Theorem; n-th roots. 

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