Mathematics 1 for Business (Fall 2016 Semester) Course Title Course Provider Level of Students Code Objective & Overview of the Course Ethan F Chung [email protected] Office: IB Bldg Room 904 Consultation: Thursday (even weeks), 15:00-17:00 Undergrads Year1 UY112 Course Duration Credits Category Teaching Language English 2*14=28 hours Business This is an introductory course in basic mathematical knowledge, techniques, skills and business applications, providing the foundations for further mathematical courses (Mathematics 2 for Business); required for further studies in business, economics and finance related courses. This course covers topics on basic mathematical skills such as: algebra, coordinate geometry, long division, factor and remainder theorem, and Arithmetic and Geometric series. This course aims to: provide students with basic mathematical skills in algebra: solving equations, inequalities, linear and quadratic functions, long divisions and factor and remainder theorem, coordinate geometry, graphs and graph sketching, series (AP and GP); and apply these skills in solving simple business, financial and economic examples. Learning Outcomes At the end of the course, students will be able to: Solve questions involving decimals and fractions. Calculate percentage changes. Apply function notation. Apply the rules of logs and indices. Expand and factorize functions Solve linear and quadratic equations/functions/inequalities through algebra (factorization, formula and completing squares) and graphs. Apply Pascal’s triangle and Binomial expansions. Solve simultaneous equations. Solve long divisions and apply factor and remainder theorem. Recognize and solve questions on series (AP and GP). Teaching Methods Materials and worked examples will be presented through weekly 2-hour lectures/seminars. Emphasis will be placed on problem solving. Students must attempt to solve the problems presented throughout the course. Students are expected to bring approved scientific calculators to each class. Page 1 of 4 Syllabus/Schedule Weeks No Dates 1 06/09/2016 2 13/09/2016 Contents Orientation Week: No classes Basic Mathematics and Algebra BIDMAS Fractions: Additions, Subtractions, Multiplications and Divisions Percentage Changes 3 Functions, Equations and Inequalities Functions: Notation, Coefficients, Constants, and Variables Expanding and Simplifying Functions Common Term/Factor Equations and Inequalities Business Applications Price, Revenue, Cost and Profit 20/09/2016 4-7 27/09/2016 04/10/2016 (No classes) 11/10/2016 18/10/2016 6 Further Algebra and Functions Indices, Logarithms and Exponentials Linear and Quadratic Functions: Factorizing Completing Squares Solving Inequalities and Quadratic Equations by Formula and Factorizing Surds Roots of a function Transformation of Equation TEST 1 11/10/2016 25/10/2016 Coordinate Geometry Gradient (Slope), Intercepts, Parallel and Perpendicular Lines and Equation of Lines 01/11/2016 MID TERM EXAMS 8 9 10 08/11/2016 11-12 15/11/2016 Simultaneous Equations By Substitution By Elimination Graphically Business Applications Supply and Demand Analysis, and Equilibrium Further Algebra and Functions Pascal’s triangle and Binomial Expansions Page 2 of 4 22/11/2016 29/11/2016 13 13-14 29/11/2016 06/12/2016 14-15 06/12/2016 13/12/2016 16 17-18 20/12/2016 TEST 2 Partial Fractions,Long Divisions, Factor and Remainder Theorem Partial Fractions Notations, Factor and Remainder Theorem Series: Arithmetic and Geometric Progression Recognizing an AP and GP Common Difference, Common Ratio The nth term and Sum to n terms REVIEW FINAL EXAMINATION WEEK * Seminars will be conducted on Tuesdays at 10:10am in IB Building Room 435. Assessment Methods Weighting OPTION 1: Attendance and Class Participation* Coursework (including tests and assignments) Mid Term Exam Final Examination** 10% 20% 20% 50% * To earn the maximum marks in this component, a student is expected to attend classes and participate accordingly. ** To pass this course, a student MUST pass the final examination OPTION 2: Final Examination Assessment Criteria 100% 100 point scale: 90 and up: Superior work in all areas - Student consistently exceeds minimal expectations in all areas regarding content, analysis, synthesis, and evaluation of topics, participation, timeliness, and writing style. 80--89: Good work in most areas - Student demonstrates minor deficiencies in some areas regarding content, analysis, writing style, and/or participation. 70--79: Fair work in most areas - Student exhibits need for improvement in most areas regarding content, analysis, writing style, and/or participation. 60--69: Student barely meets minimum standards of undergraduate level work with difficulty 59 and below: Student shows evidence of refusal or inability to meet minimum standards of undergraduate level work.比 Page 3 of 4 Recommended Textbook and References To be announced Lecture summaries and relevant readings shall be posted on blackboard: www.bb.bfsu.edu.cn Classroom Etiquette Talking (chatting) in class is disruptive to both fellow students and the instructor. Students who persist in talking about non course related matters may be asked to leave the class. The use of mobile phones or any communication devices is strictly forbidden in class and during tests and exams. Page 4 of 4
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