We provide mathematics instruction to students throughout the University in a broad range of academic programs, including engineering, industrial sciences, industrial management, engineering technology and many other disciplines.

Our mathematics courses are designed to help you understand basic concepts and cover everything from geometry and algebra to calculus and applied statistics. We can help you master the building blocks of math, understand key principles and acquire advanced mathematics skills.

## Mathematics Courses for Degree Program ## Mathematics Courses for Diploma Program ## BUM2123 - APPLIED CALCULUS

This course introduces Polar Coordinates and Vector, Vector-Valued Functions, Partial Derivatives and Multiple Integrals. Appropriate software is used by students to implement some of these ideas in practice.

Course Outcome

By the end of semester, students should be able to:
CO1:Acquire fundamental calculus concepts of equations and vectors.
CO2:Analyse and solve wide range of problems in science and engineering by using concept of calculus.

## BUM2413 - APPLIED STATISTICS

This course discusses on statistical problem-solving methodology and descriptive statistics; sampling distribution and confidence interval; hypothesis testing; analysis of variance (ANOVA); goodness-of fit test and contingency tables; regression and correlation including simple and multiple linear regressions. Microsoft Excel software will be used in this course as a statistical package (other statistical packages are SPSS, R Language, S Plus, EViews and Minitab shall be used in this course).

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of statistics.
CO2:Perform statistical analysis by using appropriate statistical theory and methodology.
CO3:Analyse real life data to solve related problems in various disciplines.

## BUM2133 - ORDINARY DIFFERENTIAL EQUATIONS

This course introduces to the Ordinary differential equations, Laplace transform and Fourier series and their applications in solving engineering problems.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of first and second order ordinary differential equations, Laplace transforms and Fourier series.
CO2:Analyze and solve various differential equation of first order differential equations, second order differential equations, Laplace transforms and find Fourier series for various periodic functions.

## BUM1113 - TECHNICAL MATHEMATICS

This course introduces and discusses the fundamental of mathematics focusing on providing a solid concept of foundation for further work. Student are exposed to functions and graphs, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, polar coordinates, and conic sections. Appropriate software is used by students to implement some of these ideas in practice.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of functions and trigonometric.
CO2:Apply appropriate mathematics concepts to solve various problems.

## BUM1223 - CALCULUS

This course discusses in depth of functions and differentiation. Topics cover under this course are: The Concepts of Limit, Computation of Limit, continuity and Its Consequence, Derivative, Computation of derivative, The Product and Quotient Rule, The Chain Rule, Higher Derivatives, Implicit Differentiation, Rates of Change and Related Rates, Maximum and Minimum Values, Mean Value Theorem, Concavity and Second Derivatives Test, Overview of Curve Sketching, Optimization Problems, Anti derivatives, Indefinite Integral, Definite Integral, Integration by Substitution, Integration by Parts, Integration of Rational Function using Partial Fractions, Area Between Curves. Arc Length and Surface Area, Volume: Slicing Method, Volume: Disks Method, Volume by Cylindrical Shells.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of differentiation.
CO2:Apply appropriate calculus concepts to solve various technological problems.
CO3: Use appropriate software and tool to solve the graphical and computational problems in calculus.

## BUM2113 - APPLIED MATHEMATICS

This course introduces ordinary differential equations (analytically and numerically), Laplace transforms and Fourier series. Related applications are also discussed.

Course Outcome

By the end of semester, students should be able to:
CO1:Acquire fundamental principle of first and second order ordinary differential equations, Laplace transforms and Fourier series.
CO2:Analyze and solve various differential equation of first and second order differential equations, Laplace transforms and find Fourier series for various periodic functions.

## BUM1123 - MATHEMATICS FOR MANAGEMENT

This subject introduces the use of mathematical technique in the field of business administration and management. The topics introduce to the inequality, matrices, functions and the key business topics such as simple interest, compound interest, promissory notes, trade and cash discount, markup and markdown.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire basic principles and methodologies of mathematics to solve problems.

## BUM2433 - STATISTICS FOR MANAGEMENT

This course discusses on descriptive statistics; graphical summary; common probability distributions; statistical analysis for means; regression and correlation including simple and multiple linear regressions, and goodness of fit test and contingency tables. Statistical packages such as Microsoft Excel, SPSS, R Language, S plus, EViews and Minitab shall be used in this course.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of statistics.
CO2:Perform statistical analysis by using appropriate statistical theory and methodology.
CO3:Analyse real life data to solve related problems in various disciplines.

## BUM1433 - DISCRETE STRUCTURE & APPLICATIONS

This subject introduces and discusses the fundamental of the discrete as apply to computer science, focusing on providing a basic theoretical foundation for further work. Students are exposed to basic counting; discrete probability; numerical, precision, accuracy and errors; graph; tress and modelling computations. This course integrates symbolic tools, graphical concepts and numerical calculations.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of discrete structure.
CO2:Analyze mathematical problems using discrete structure knowledge.
CO3:Provide solution to discrete structure problems arise in computer science and engineering fields.

## BUM1233 - DISCRETE MATHEMATICS & APPLICATIONS

This subject introduces and discusses the fundamental of the discrete as apply to computer science, focusing on providing a basic theoretical foundation for further work. Students are exposed to logic and proof techniques, set theory, elementary number of theory, functions and relations, graph, tress, modelling computations and abstract algebra. This course integrates symbolic tools, graphical concepts, and numerical calculations.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of discrete mathematics.
CO2:Analyze mathematical problem using discrete mathematics.
CO3:Provide solution to discrete mathematics problems arise from computer science and engineering field.

## BUM1113 - MATHEMATICS FOR COMPUTER GRAPHIC

The aim of this course is to introduce and develop mathematical skills that underpin the technical aspects of computer graphics application. It will emphasize on matrix, vector, geometry and parametric representation, general concept of Basic Mathematics, Vector Calculus and Numerical Methods. For further understanding about this subject, a lot of exercises will be given. At the end of the course, students should be able to grasp key concept and uses each of the mathematical concept in computer graphics application. Appropriate software is used by students to implement some of these ideas in practice.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of mathematics for computer science
CO2:Demonstrate the calculations through mathematical formulas and equations.
CO3:Provide solution for the wide range of problems in computer science by using mathematics principle.

## BUM1153 - INTERMEDIATE MATHEMATICS

This course introduces and discusses the fundamental of mathematics focusing on providing a solid theoretical foundation for further work. Student are exposed to number system, equations, inequalities and absolute value, polynomials, sequences and series, matrices and system of linear equations, functions and graphs, and trigonometric functions. This course also integrates symbolic tools, graphical concepts, and numerical calculations.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire the fundamental principles of basic mathematics.
CO2:Apply the appropriate method to solve mathematical problems.

## DUM1113 - BASIC MATHEMATICS

This course introduces and discusses the fundamental of mathematics focusing on providing a solid theoretical foundation for further work. Student are exposed to number system, equations, inequalities and absolute value, polynomials, sequences and series, matrices and system of linear equations, functions and graphs, and trigonometric functions. This course also integrates symbolic tools, graphical concepts, and numerical calculations.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire the fundamental principles of basic mathematics.
CO2:Apply the appropriate method to solve mathematical problems.

## DUM1123 - CALCULUS

Calculus is the mathematics of change, of calculating problems that are continually evolving. This is possible by breaking such problems into infinitesimal steps, solving each of those steps, and adding all the results. Rather than doing each step individually, calculus allows these computations to be done simultaneously. There are two primary branches of calculus: differential calculus (differentiation) and integral calculus (integration). Therefore, students are exposes to limits and continuity, differentiation, application of differentiation, integration, and application of integration. This course integrates symbolic tools, graphical concepts and numerical calculations.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire and apply the fundamental principles of calculus.
CO2:Apply the appropriate method studied to solve mathematical problems.
CO3:Provide solution to solve mathematical problem arise from real life.

## DUM2113 - TECHNICAL MATHEMATICS

This course introduces Analytic Geometry & Conic Section, Parametric Equations, Polar Coordinates, Three-Dimensional Spaces Vectors, and First Order Differential Equations. Appropriate software is used by students to implement some of these ideas in practice.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principles of technical mathematics.
CO2:Apply the knowledge of Analytic Geometry & Conic Section, Parametric Equations, Polar Coordinates, Three-Dimensional Spaces, Vectors and First Order Differential Equations to solve various science and engineering problems.

## DUM1213 - FUNDAMENTAL DISCRETE STRUCTURE

This course introduces and discusses the fundamental of the discrete as apply to computer science, focusing on providing a basic theoretical foundation for further work. Students are exposed to logic, set theory, elementary number theory, functions and relations, basic of counting, Boolean algebra, and proof techniques. This course integrates symbolic tools, graphical concepts, and numeral calculations.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle of discrete mathematics.
CO2:Analyze mathematical problem using discrete mathematics.
CO3:Provide solution to discrete mathematics problems arise from computer science and engineering field.

## DUM2413 - STATISTICS & PROBABILITY

In this course, students are exposed to basic statistics and analyses statistically. The topics covered are introduction to statistics, descriptive statistics, probability, discrete probability distributions, continuous probability distributions, and correlation and simple linear regression.

Course Outcome

By the end of semester, students should be able to:

CO1:Acquire fundamental principle statistics.
CO2:Perform statistical analysis by using appropriate statistical theory and methodology.
CO3:Analyse real life data to solve related problems in various disciplines.

## DUM2512 - INTRODUCTION TO DATA SCIENCE

Data science is the emerging interdisciplinary field that lies at the intersection of which requires the tools of extracting meaningful insights from the big data stored in the data sets. This course presents the overview of data science, big data, the process of data science, its infrastructure and computing for data science. This course is aimed to produce graduates who are knowledgeable, skilled and able to emerging technologies based on the knowledge of mathematics, statistics, computer science and domain expertise for storing, analysing and managing the big data.

Course Outcome

By the end of semester, students should be able to:

CO1:Explain the terminologies used in data science.
CO2:Distinguish the data science basic foundation, process, infrastructure and required computing tools.
CO3:Communicate effectively in written and oral forms by completing the task given.

## College of Engineering ## Faculty of Industrial Management ## Faculty of Computing ## Centre for Mathematical Sciences ## Faculty of Industrial Sciences & Technology  ## Faculty of Civil Engineering Technology ## Faculty of Chemical and Process Engineering Technology ## Faculty of Electrical & Electronics Engineering Technology ## Faculty of Mechanical & Automotive Engineering Technology ## Faculty of Manufacturing & Mechatronic Engineering Technology  Vertical Credit Transfer refers to the transfer of credit from one programme to another programme of higher academic level (i.e. from diploma qualification to bachelor degree qualification)

Criteria for Credit Transfer
• Students who have obtained a diploma or higher academic qualification of an accredited programme are eligible for the consideration of credit transfer
• The course mapping must achieve at least 80% similarity in course content and learning outcomes
• Application for credit transfer must be done in the first semester during the stipulated period unless with the approval of the Dean
• Minimum grade is C - achieving minimum UMP course passing grade

Documentation Required
Applications for credit transfer require an original or certified copy of your result transcript and course syllabus (course synopsis, details topics, number of hours). If photocopies are provided, they need to be certified by a person authorised to witness a statutory declaration.

Important Note: Application without complete documentation will not be assessed and will be returned to you. 