Course Description
Course Name
Mathematics 1004
Session: VCPS3118
Hours & Credits
18 Host University Units
Prerequisites & Language Level
Course entry requirements: The normal minimum requirement is a pass in Mathematics with at least 70% for students with a NSC, or at least an E symbol at A-level. Students who fail MAM1004F are usually expected to register for MAM1004S in the 2nd semester.
Taught In English
- There is no language prerequisite for courses at this language level.
Overview
Course outline:
The aim of this course is to provide mathematics for applications, particularly in the Life and Earth
sciences. The syllabus covers the following topics: Functions and graphs. Straight lines, power functions, polynomials, exponential and logarithmic functions, trigonometric functions (radians). Discrete-time dynamical systems. Stability and equilibria. Rates of change. Limits, derivatives. Maxima and minima. Concavity. Asymptotes and curve sketching. Newton's Method. Taylor Polynomials. Antiderivatives and integrals. Mathematical modelling. Separable and linear differential equations.
The aim of this course is to provide mathematics for applications, particularly in the Life and Earth
sciences. The syllabus covers the following topics: Functions and graphs. Straight lines, power functions, polynomials, exponential and logarithmic functions, trigonometric functions (radians). Discrete-time dynamical systems. Stability and equilibria. Rates of change. Limits, derivatives. Maxima and minima. Concavity. Asymptotes and curve sketching. Newton's Method. Taylor Polynomials. Antiderivatives and integrals. Mathematical modelling. Separable and linear differential equations.
*Course content subject to change