Academic Planner

JIM 105 BASIC

MATHEMATICS

Academic Session 2013/2014

VIDEO CONFERENCE SESSIONS

Video Conference

Date Time

1 20 September 2013 (Friday) 4.00-5.00 pm

2 3 November 2013 (Sunday) 6.00-7.00 pm

3 22 November 2013 (Friday) 5.00-6.00 pm

4 22 December 2013 (Sunday) 6.00-7.00 pm

5 14 March 2014 (Friday) 12.00-1.00 pm

6 5 April 2014 (Saturday) 9.00-10.00 am

2

JIM 105/4 BASIC MATHEMATICS TEXTBOOK: Elementary Statistics and Calculus ON-LINE MODULE: Basic Linear Algebra COURSE MANAGER: Associate Professor Omar Majid Office: Room 128 Tel: 04-6533633 (office) E-mail: momar@usm.my PORTAL: http://elearning.usm.my/pppjj COURSE SYNOPSIS The content of this course is divided into 4 main topics. Topic 1: Limits, Differentiation and Applications of Differentiation

Limits and continuity: The concept of limit; limits involving infinity; computation of limits; continuity; types of discontinuity. Differentiation: Derivative power rule, product rule, quotient rule, chain rule; Derivative of trigonometric, exponential and logarithmic functions; Implicit differentiation; Higher order differentiation. Applications of differentiation: Slope and equation of tangent line; Indeterminate form and LHopitals Rule; Maximum and minimum values; Increasing and decreasing functions; Concavity and overview of curve sketching.

Topic 2: Integration and Application of Definite Integral

Integration: Definite integral, antiderivatives; Fundamental theorem of calculus; Integration by substitution; Integration by parts; Other techniques of integration partial fractions. Application of integration: Area of a plane region. Topic 3: Linear Algebra Matrices: Matrix addition; Matrix subtraction; Scalar multiplication; Matrix multiplication; Identity matrix. Elementary row operations: Row echelon form; Reduced row echelon form; Elementary row operations. Determinant of matrices: Determinants; Minors and cofactors. Inverse of a square matrix: Singular and non-singular matrix; Finding inverse using elementary row operations.

3

System of linear equations: Solving by using Cramers rule; Solving by using inverse matrix; Solving by using Gauss-Jordan elimination method. Topic 4: Elementary Statistics Introduction to probability and statistics. Frequency distributions and graphs: Organizing data; Bar chart, pie chart, histogram, polygon frequency and ogive; Distribution shapes. Data description: Measures of central tendency mode, median, mean; Measures of variation range, variance, standard deviation. Probability: Basic concepts; Probability rules; Complementary events; Mutually exclusive events addition rule; Independent events multiplication rule; COURSE WORK A. Video conference There will be 6 video conference sessions. Tutorial questions will be uploaded in the portal. You are advised to read the topics and try to solve the questions before the video conference sessions. Please bring your solutions to the video conference session. Video conference 1 Chapter 1: Limits and Continuity Textbook (page 331 402) Video conference 2 Chapter 2: Differentiation Textbook (page 403 461) Video conference 3 Chapter 2: Differentiation Textbook (page 462 501) Video conference 4 Chapter 3: Applications of Differentiation Textbook (page 508 577) Video conference 5 Basic Linear Algebra On-line Module: Chapter 1-6: Matrix operation, elementary row operation, determinant, inverse, system of linear equations. Video conference 6 Elementary Statistics

4

Textbook: Chapter 1-4 (page 1 235): The Nature of Probability and Statistics, Frequency Distributions and Graphs, Data Description, Probability and Counting Rules. B. Intensive Course An intensive course will be held in Jan/Feb 2014 at USM main campus. Attendance is compulsory during the intensive course. Two face to face lectures will be conducted by the course instructor during the Intensive Course Lecture 1 Chapter 4: Integration Textbook (page 616 697) Lecture 2 Chapter 5: Application of the Definite Integral Textbook (page 744 755) Important Note: 1. Studying in distance learning environment required full commitment. You

need to manage your time wisely, complete all the assigned tutorial and assignment questions, ready to participate fully in the video conference session. You are responsible for being an active participant in the video conferencing class rather than a passive observer. If you miss the class, please download the video from the portal.

2. Students need study the respective topics and solve the exercise questions

before attending video conference session. During the video conference session, the summary of the specific chosen topic will be given by the course instructor, followed by the tutorial session where students are encouraged to participate, by asking questions or answering questions.

3. Students are encouraged to use e-learning forum portal to discuss questions or problems with course mates and course instructor.

C. Assignments There are 2 written assignments. Each assignment should be done in a group of 3-5 students from the same regional centre. Assignment questions will be uploaded in the portal. Assignment 1: Cover topics on limits and continuity, differentiation and application of differentiation. The due date for this assignment is 3rd January 2014.

5

Assignment 2: Cover topics on integration, application of integration, linear algebra and basic statistics. The due date for this assignment is 30th April 2014. Important notes 1. To encourage collaborative learning, each assignment should be done in a

group of 3-5 students from the same regional centre. 2. Please be advice that the assignments must reached PPPJJs office no later

than the due date. Late assignment will not be entertained nor graded. Therefore please submit your assignment on time as the assignment questions and the deadline of the assignments have been given at the beginning of the academic session.

3. Assignments that have been submitted will not be returned, so please make

a copy for your keepsake. D. Test As part of the continuous assessment of the course, a test will be conducted during the intensive course. The schedule will be given later. It will cover the topics on Limits and Continuity, Differentiation and Applications of Differentiation. CONTRIBUTIONS OF COURSE WORK AND FINAL EXAMINATION The duration of the final examination is 3 hours and will be held during the month of June 2014. It will cover all 4 topics that have been discussed during the video conference sessions and lectures during the intensive course. The overall grade will be based on the following contributions: Final examination: 60% Course work: Assignment 1 10% Assignment 2 10% 40% Test 20% REFERENCES: Anton, H. 1994. Elementary Linear Algebra. 7th Edition. John Wiley & Sons. Anton, H. 1999. Calculus: A New Horizon. John Wiley & Sons.

6

Bluman, A.G. 2007. Elementary Statistics: A Step by Step Approach. 6th Edition. McGraw-Hill International Edition. Boyce, W.E. and DiPrima, R.C. 1988. Calculus. John Wiley & Sons. Edwards, C.H. and Penncy D.E. 2010. Differential Equations and Linear Algebra. 3rd Edition. Pearson International Edition. Grossman, S.I. 1992. Calculus. 5th Edition. Harcourt Brace Jovanovich. Jamaludin Md. Ali, Rosihan, M. Ali and Abd. Rahni Mat Piah. 1991. Kalkulus: Teori dan Contoh. Penerbit USM. Kuan, K.S. 1991. Statistik Permulaan. Pusat Pengajian Luar Kampus, USM. Leong, F. 1990. Aljabar Linear. Penerbit USM. Milton, J.S. and Arnold, J.C. 2003. Introduction to Probability and Statistics. McGraw Hill International Edition. Nicholson, W. Keith. 2004. Elementary Linear Algebra. Second Edition. McGraw-Hill International Edition. Thomas, G.B. and Finney, R.L. 1990. Calculus. Addison-Wisley.