MAT0511 - University of South Africa

1 Define South africaTutorial letter 101/0/2017 Access to MathematicsMAT0511 Year moduleDepartment of Mathematical SciencesIMPORTANT INFORMATION:This tutorial letter contains important information about 42 PURPOSE AND OUTCOMES OF THE statement for the 53 LECTURER(S) AND CONTACT (s).. Reserves (e-Reserves).. services and resources 85 STUDENT SUPPORT with fellow classes at Learning 96 STUDY 97 PRACTICAL WORK AND WORK INTEGRATED content of the four study Assignments and closing of 142 MAT0511 /101/0 and feedback on Year Mark (Counts toward final mark).. assignment assignment dates of of of 2018 (Supplementary exam).. an use of exam 1710 OTHER ASSESSMENT 1811 FREQUENTLY ASKED 18 ADDENDUM A: 5331 INTRODUCTIONDear StudentWelcome to the MAT0511 module in the Department of Mathematical Sciences at Unisa.

2 We trustthat you will find this module both interesting and of this tutorial matter may not be available when you register. Tutorial matter that is notavailable when you register will be posted to you as soon as possible, but is also available must be registered on myUnisa ( ) to be able to submit assignments on-line, gain access to the library functions and various learning resources, download study material, chat to your lecturers and fellow students about your studies and the challenges encounter, andparticipate in online discussion forums. myUnisa provides additional opportunities to take part inactivities and discussions of relevance to your module topics, assignments, marks and matterA tutorial letter is our way of communicating with you about teaching, learning and will receive a number of tutorial letters during the course of the module. This particular tutorialletter contains important information about the scheme of work, resources and assignments for thismodule as well as the admission requirements for the examinations.

3 We urge you to read this andsubsequent tutorial letters carefully and to keep it at hand when working through the study material,preparing and submitting the assignments, preparing for the examination and addressing queriesthat you may have about the course (course content, textbook, worked examples and exercises,theorems and their applications in your assignments, tutorial and textbook problems, etc.) to yourMAT0511 AND OUTCOMES OF THE module will be useful to students who have studied Mathematics at matriculation level but whodo not satisfy the minimum requirements for direct admission to tertiary-level Range statement for the moduleThe skills developed in this module are extended to the National Senior Certificate level 4. As faras possible the problems selected are applied in real outcome 1:Do operations on Real Numbers and use Basic Algebra ToolsAssessment Recognition and use of the different kinds of numbers, number sets and set Operate on real numbers and obeying the Solve problems which involve ratio, proportion and Apply the definitions of integral exponents, scientific notation and Convert units and derived units in the metric system to other units in the metric system ornon-metric units to metric units and vice outcome 2.

4 Perform basic Algebraic operations by using Algebra toolsAssessment Perform basic Algebraic operations like adding, subtracting, multiplying and dividing of alge-braic expressions correctly, including working with Algebraic Solve Linear and Quadratic Equations and Inequalities, Equations containing Roots, andSystems of Equations in Two Unknowns, Identify Arithmetic and Geometric Sequences and find specific terms of these Solve Equations containing Exponents and Exponential Equations correctly, by applying theDefinitions and Exponential Solve Logarithmic Equations by applying the various properties of logarithms Solve problems by applying the Compound Interest formulas, Appreciation and Deprecia-tion formulas, Population Growth formula and Radio Active Decay and Half-Life outcome 3:Plot Graphs and Interpret and Apply information on Given GraphsAssessment Draw a graph by plotting points or by using a given Apply Analytical Geometry formulas to find the coordinates of a point, distances betweenpoints, midpoints, and equations of Interpret information on a given graph to find the solutions of equations or Find thex andy intercepts if the equation of a graph is given; determine whether or not apoint lies on a given graph.

5 Find thexvalues for whichy <0,y= 0ory > Identify the correspondence in a relation, whether the relation is a function, and the domainand range of a given Recognise whether or when two functions are Use functional notation correctly and determine function values by substitution of given do-main Obtain new functions from existing functions by addition, subtraction, multiplication and divi-sion and the domains of these new Draw a straight line graph by using a table of values, two points or the point slope draw vertical, horizontal, parallel and perpendicular lines, Find the slope-intercept, point-slope, two-point or general equation of a Find the intersection of two lines; or the vertical distance between two Apply knowledge of linear functions to problems involving linear cost- and income Sketch the graph of a linear inequality and the graph of the solution of a system of Recognise equations which show direct, indirect or joint proportionality amongst Recognise the characteristics, sketch the graph, find the maxima or minima and find theequation (if three points on the parabola, or the vertex and another point on the parabola orthex-intercepts and another point on the parabola are given) of a parabola defined byy=ax2+bx+candy=a(x h)2+ Use a rough sketch of a parabola to solve a quadratic inequality or rational Recognise the characteristics of a hyperbola.

6 Sketch the graph of a hyperbola and find theequation of a hyperbola if a point on the hyperbola or the closest distance from the origin tothe hyperbola is Interpret various combinations of outcome 4:Use Statistics to determine valuable information from collected (S) AND CONTACT (s)The contact details of the lecturer responsible for this module is:The MAT0511 LecturersDepartment of Mathematical SciencesPrivate Bag X6 Florida1709 South AfricaAdditional contact details for the module lecturers will be provided in a subsequent tutorial queries that are not of a purely administrative nature but are about the content of this moduleshould be directed to your lecturer(s). Please have your study material with you when you contactyour lecturer by phone. If you are unable to reach us, leave a message with the departmentalsecretary. Provide your name, the time of the telephone call and contact details.

7 If you haveproblems with questions that you are unable to solve, please send your own attempts so that thelecturers can determine where the fault lies. When you speak to a lecturer, it is helpful to be veryspecific about your problem. For example, rather than saying I don t understand fractions. It is much easier for us to help you if you say something like On page 136 of Book 2 there is a step in theexample that I don t understand. In the thirdline the example gives23 12= canyou tell me how to get this answer? It may help you to explain your problem more clearly over the telephone if you first write it downyourself. Make sure you have paper and a pen available when you phone, so that you can writedown the note:Letters to lecturers may not be enclosed with or inserted into contact details for the Department of Mathematical Sciences are:Departmental Secretary: (011) 670 9147 (SA) +27 11 670 9147 (International).

8 You need to contact the University about matters not related to the content of this module, pleaseconsult the publicationStudies @ Unisathat you received with your study material. This bookletcontains information on how to contact the University ( to whom you can write for differentqueries, important telephone and fax numbers, addresses and details of the times certain facilitiesare open). Always have your student number at hand when you contact the booksThere is NO TEXTBOOK prescribed for this booksThere are NO recommended books for this Reserves (e-Reserves)There are NO e-Reserves for this services and resources informationFor brief information go to: more detailed information, go to the Unisa website: , click on research support and services of Personal Libarians, go to: Library has compiled numerous library guides: find recommended reading in the print collection and e-reserves- request material- postgraduate information services- finding, obtaining and using library resources and tools to assist in doing research- how to contact the Library/find us on social media/frequently asked questions- SUPPORT SERVICESFor information on the various student support services available at Unisa ( student counselling,tutorial classes, language support), please consult the publicationStudies @ Unisathat you re-ceived with your study with fellow Study groupsIt is advisable to have contact with fellow students.

9 One way to do this is to form study groups. Theaddresses of students in your area may be obtained from the following department:Directorate: Student Administration and RegistrationPO Box 392 UNISA0003 You may also send an email to classes at Learning CentresUnisa offers tutor services for students as additional academic support at various Unisa regionallearning centres throughout the country. For details of a learning centre near you, please consultDirectorate Curriculum and Learning Development at Tel: +27 12 429 6889 or see the brochureStudies @ are appointed and tutorial classes will be held at some (but not necessarily all) of the learningcentres. The decision to offer classes at a learning centre will depend on the number of studentswho register for these classes at that centre. If you have any queries about tutorial classes you arewelcome to contact your nearest learning tutorial is an organised session where students and tutor(s) meet regularly at a common venueand at scheduled times to discuss course material.

10 Tutorials help the students to develop andenhance their learning experience and academic performance through interaction with the tutorand fellow students. Tutorials are not compulsory and willing students receive tutorial support at anominal fee. Interested students are advised to consult the learning centre closest to them to enrolfor laboratoriesStudents in Gauteng, the Western Cape, KwaZulu-Natal and the Limpopo are welcome to makeuse of the computer laboratories available at the Learning Centres. In order to use these facilitiesyou will first need to make a booking. You may contact the different computer laboratories forfurther information about the location, operating times and user PLANAs adults you will make your own decisions about when you do your work. Those of you whoare employed or who have other responsibilities will have less time than those who are full-timestudents, but, as we mention in Book 1: Introduction, it is very important to set aside regular timeto study, and to try to stick to your schedule.