Mathematics 1 for Business--semester 1

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.
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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
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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
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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.
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