2. SubjectEngineering Mathematics 2 CodeDME 2133 StatusCompulsory LevelDiploma Credit Value3(2+1) 1 credit hour lecture is equivalent to 1 hour contact per week for 18 weeks 1 credit hour of tutorial is equivalent to 2 hrs contact per week Lecture Tutorial Prerequisite- Assessment Scheme Course Work: Assignment 20% Quiz 20% Test 1 10% Test 2 10% Final Exam 40% Grading SchemePass – D and above Fail – Other than the above Lecturer Semester TaughtSemester 1 Learning Outcomes Upon completing this course, students should be able to: 1.understand the concept of derivatives and its operations and used in various applications 2.understand the concept of integrations and its operations and used in various applications 3.understand the concept of matrix and its applications in solving systems of linear equations 4.solve problems related to vectors. 5.solve first order and second order differential equations using several techniques 6.understand the concept of multivariable functions 7.find the probability of several different types of events 8.represent data using statistical techniques of central tendency and dispersion 9.use the knowledge for other related courses or tasks at appropriate levels SynopsisThis course introduces the concepts of calculus required in engineering applications. These include topics on differentiation and integration. Topics such as vectors and matrices learned from tertiary education will be further elaborated. Other topics such as differential equation, multivariable functions and statistics will also be covered. KOLEJ KEMAHIRAN TINGGI MARA

3. ChapterContent Hours LectureTutorialPractical 1 1. Differentiation 1.1 Limits 1.1.1 Limit Rules 1.2 Differentiation from first principles 1.3 Derivative of some standard functions 1.3.1 Derivative of a constant function 1.3.2 Derivative of 1.3.3 Derivative of trigonometric functions 1.3.4 Derivative of exponential function 1.3.5 Derivative of 1.3.6 Derivative of 1.4 Rules of differentiation 1.4.1 The constant multiplication rule 1.4.2 Sum rule or difference rule 1.4.3 Product rule 1.4.4 Quotient rule 1.5 Functions of a function 1.6 Higher order derivatives 1.7 Derivatives at a particular value 1.8 Parametric differentiation 1.9 Implicit differentiation 4 4 - 2 2. Applications of differentiation 2.1 Gradient of a curve 2.2 Rates of change 2.3 Motion in straight lines 2.4 Stationary points 2.4.1 Determining the type of a stationary point 2.4.1.1 The first derivative test 2.4.1.2 The second derivative test 2.5 Optimisation problems 2.6 Small changes 4 4