UNIVERSITI TEKNOLOGI MARA, DENGKIL CENTRE OF FOUNDATION STUDIES PROGRAMME COURSE COURSE CODE CREDIT HOUR PREREQUISITE LECTURER CONTACT # ROOM EMAIL
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FOUNDATION IN ENGINEERING FOUNDATION MATHEMATICS II FOR ENGINEERS MAT099 5 NONE
COURSE DESCRIPTION This course is a sequel to Foundation Mathematics I with 5 credit hours. It covers wide range of topics in calculus including differentiation, application of differentiation, application of differentiation, series, integration, application of integration, numerical methods, differential equations and conic section. Applications in engineering related problem will also be discussed in certain topics. By the end of this course, students are expected to acquire and apply knowledge of mathematics in various field of engineering. COURSE OUTCOMES Upon completion of this course, students should be able to: 1. Use appropriate and relevant fundamental calculus principles in assessing conceptual understanding of changing quantity. 2. Demonstrate self-confidence and self-awareness through the use of geometrical approaches in addressing concrete scientific issues. 3. Integrate calculus theoretical and analytical skills in solving a variety of problems related to changing quantities. 4. Demonstrate the ability to express new ideas and interest relating to calculus concept in mathematical case study. COURSE FORMAT& ASSESSMENT The course is conducted as a combination of lectures and tutorials. The course contents will be delivered during the lecture hours to cover the basic principles of each topic. In-depth discussion of assignments or problems will be conducted during tutorial and lecture periods. Group Project is given at the end of the semester. Course format Duration » 14 weeks Lecture » 4 hour/week Tutorial » 1 hr/week
Assessment Group Project (Case Study) » 10% Presentation » 15% Report Mid TermTest » 25% Final Examination » 50%
CLASS POLICY Attendance for lectures and tutorials are compulsory. Attendance of at least 80% is required to avoid being barred from taking the final examination. Absence from lectures, tutorials or tests must be supported by a valid document approved by the faculty. Make-up tests would not be given for unauthorized absence. Cheating in any form will be severely dealt with. GRADING SCALE 4.00 3.67 3.33 3.00 2.67 2.33
A AB+ B B− C+
80 – 100 75 – 79 70 – 74 65 – 69 60 – 64 55 – 59
2.00 1.67 1.33 1.00 0.67 0.00
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C C− (Fail) D+ (Fail) D (Fail) E (Fail) F (Fail)
50 – 54 47 – 49 44 – 46 40 – 43 30 – 39 0 – 29
UNIVERSITI TEKNOLOGI MARA, DENGKIL CENTRE OF FOUNDATION STUDIES REFERENCES 1. Ahmad Kamil Hussain et. al., Foundation Mathematics II, Center of Foundation Studies, UiTM Selangor, Kampus Dengkil, 2017. 2. Howard Anton, et. al., Calculus, 11th Edition, Wiley, 2016. 3. James Stewart, Calculus: Early Transcendentals, 8th Edition, Pearson, 2016. 4. Ong Beng Sim et. al., Mathematics for Matriculation Semester 1, 5th Edition, Oxford Fajar, 2016. 5. Ong Beng Sim et. al., Mathematics for Matriculation Semester 2, 5th Edition, Oxford Fajar, 2016.
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UNIVERSITI TEKNOLOGI MARA, DENGKIL CENTRE OF FOUNDATION STUDIES MAT099 COURSE OUTLINE AND LECTURE PERIOD WEEK 1
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1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 2.0 2.1 2.2 2.3 3.0 3.1 3.2 3.3 3.4 4.0 4.1 4.2 4.3 4.4
TOPICS THE DERIVATIVE (8) Definition of Limit, Computing limits (Including End Behavior) Continuity Definition of Derivative Techniques of Differentiation Derivative of Trigonometric Functions Derivative of Exponential Functions Derivative of Logarithmic Functions Implicit Differentiation APPLICATION OF DERIVATIVE (4) Tangent and Normals Rate of Change and Related Rates Curve Sketching: Polynomial Function (Up to Third Degree) SERIES (8) Power Series Taylor Series Maclaurin Series Binomial Series INTEGRATION (10) Indefinite Integral Rules of Integration Integration of Exponential, Logarithmic and Trigonometric Functions Integration by Substitution, By Parts and Partial Fraction Methods (cont)
ACTIVITIES Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion.
MID TERM TEST (TOPICS 1.1 – 3.4) 8
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4.4 5.0 5.1 5.2 5.3 5.4
Integration by Substitution, By Parts and Partial Fraction (cont) APPLICATION OF INTEGRATION (8) Definite Integral Area Between Two Curves Volume of Solid of Revolution Moment of Inertia
5.4 6.0 6.1 6.2 7.0 7.1 7.2
Moment of Inertia (cont) NUMERICAL METHODS (8) Trapezoidal Rule Newton-Raphson Method DIFFERENTIAL EQUATIONS (6) First Order Separable Differential Equation First Order Linear Equation
8.0 8.1 8.2 8.3 6.3 7.3
CONIC SECTION (4) Circle Parabola Ellipse Case Study Applications of First Order Differential Equation (Case Study) PRESENTATION OF CASE STUDY STUDY LEAVE FINAL EXAMINATION
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Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, flipped classroom and discussion. Interactive Lectures, and group discussion. Group Project (Case Study) Group presentation.