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Dsc1340 business mathematics
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Department of Decision Sciences
Faculty of Management Studies and Commerce
University of Sri Jayewardenepura
Course Outline
Degree Management Common Programme
Academic Year and
Semester
Year 1-Semester 1
Course Code: DSC 1340
Course Name: Business Mathematics
Names of the Lecturers Mr. D. S. P. Jayasooriya
Ms. M. W. A. De Silva
Mr. L. H. T. De S. Wickramasuriya(Coordinator)
Mr. S. R. Ginige
Mr. A. N. Wickramasekara
Ms. N. P. Parameswara
Ms. K. T. G. P. Madhusanka
Credit Value: 3 (150 notional hours)
Core/Elective Core
Prerequisites None
Hourly Breakdown per
Semester
Theory Assignments Independent Learning
45 Hrs 30 Hrs 75 Hrs
Course Description:
This course, introduces students to basic principles, laws and rules that are necessary to
develop an overview of application capabilities of the Mathematics in the field of business
and economics. The Business Mathematics course covers functions, differentiation of
functions, maxima and minima of functions, partial derivatives, integration, and area under
curve and between curves and mathematics of finance. The course also includes the
applications of differentiation and integration in business and economics. Under the
applications of differentiation, the topics such as profit maximization, cost minimization,
elasticity of demand, and marginal analysis are included. The major topics covered under
University Vision
Prosper lives through education
Faculty Mission
To be the prime center of excellence in Management Education in South Asia; We are committed to shaping the
minds and hearts while strengthening the hands of value-centered future leaders who will make a global impact
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applications of integration include marginal revenue and marginal cost, consumer’s surplus,
producers’ surplus, total change in revenue, etc.
Intended Learning Outcomes:
At the completion of this course student will be able to;
LO 1. Understand the basic concepts of business mathematics.
LO 2. Apply mathematical techniques and tools to solve the various problems in the field of
Business and Economics.
LO 3. Interpret the outcomes of the applications.
Course Content:
Session No Main Topic
Sub topic (learning outcome) Reference
Text Chapter
01 Functions The Arithmetic of Functions (LO 1) Chapter 01
02 Functions Applications of Functions in Business
and Economics (LO 2, LO 3)
Chapter 01
03 Differentiation The Derivative (LO 1)
The Sign of the Derivative and Nature
of Function (LO 1)
Chapter 02
04 Differentiation Basic Rules for Differentiation (LO 1) Chapter 02
05 Differentiation Derivative of Logarithmic and
Exponential Functions (LO 1)
Chapter 02
06 Differentiation Successive Differentiation (LO 1) Chapter 02
07 Differentiation Relative Maximum and Relative
Minimum points of a Function (LO 1)
Chapter 02
08 Differentiation The First Derivative Test (LO 1) Chapter 02
09 Differentiation The Second Derivative Test (LO 1) Chapter 02
10 Differentiation Applications of Differentiation
Marginal Functions, Optimization,
Elasticity (LO 2, LO 3)
Chapter 02
11 Differentiation Functions of Several Variables (LO 1)
Partial Derivatives (LO 1)
Chapter 03
12 Differentiation Applications of Partial Derivatives
(LO 2, LO 3)
Chapter 03
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Second Order Partial Derivatives
(LO 1)
13 Differentiation Critical Points of a Function with two
Variables (LO 1)
Chapter 03
14 Differentiation Second Derivative Test for functions of
Two Variables (LO 1, LO 2)
Chapter 03
15 Integration Indefinite Integration (LO 1)
Properties of Integration (LO 1)
Rules of Integration (LO 1)
Chapter 04
16
Integration The Definite Integration (LO 1)
The definite Integral as an Area
(LO 1)
Chapter 04
17 Integration Area Between Two Curves (LO 1)
Applications of Integration in Business
and Economics ( LO2, LO3)
Chapter 04
18 Mathematics of
Finance
Simple Interest (LO 1, LO 2 )
Compound Interest (LO 1, LO 2 )
Chapter 05
19
Mathematics of
Finance
The Compound Amount (LO 1, LO 2 )
Investment Appraisal LO 1, LO 2, LO
03)
Chapter 05
20 Mathematics of
Finance
Annuities (LO 1, LO 2, LO 03) Chapter 05
21 Mathematics of
Finance
Sinking Fund (LO 1, LO 2, LO 03) Chapter 05
22 Mathematics of
Finance
Amortization (LO 1, LO 2, LO 03)
Teaching /Learning Methods:
Interactive lecture sessions (45 hours)
Tutorial Classes (30 hours)
Assessment Strategy:
Continuous Assessment: 30 %
Mid Semester Examination 30 %
Final Assessment: 70 %
References:
Course Manual for DSC1340: Business Mathematics – Department of Decision
Sciences
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Additional Reading Materials:
Ernest, F. I., Haeussler, Jr., & Paul, R. S. Introductory Mathematical Analysis.
Raymand A., Barnett, M. R., & Ziegler, Finite Mathematics.
Mizrahi & Sullivan, Mathematics and Applied Approach (7th Ed.).
Gaughan, E. D. & Hall, C. E. College Algebra and Trigonometry.
Budhick, F. S. Applied Mathematics for Business, Economics, and the Social Sciences.
Anderson, R. D. & Smith, C. L. Calculus for Business.
Pherson, M. D. Mathematics Applied to Business Problems.
Mapping of Programme Outcomes with Learning Outcomes of the course
PLO
1
PLO
2
PLO
3
PLO
4
PLO
5
PLO
6
PLO
7
PLO
8
PLO
9
PLO
10
PLO
11
PLO
12
LO1
LO2
LO3
Mapping of Programme Outcomes with Teaching Learning Activities and Assessments
Teaching Learning Activities Assessments
LO1 Lectures and Tutorials Mid Examination, End Examination
LO2 Lectures and Tutorials Mid Examination, End Examination
LO3 Lectures and Tutorials Mid Examination, End Examination
Course policies
Attendance
Students are expected to maintain at least 80% of attendance. All absences must be cleared
with the lecturer first. Repetitive absences will lead to a lower grade.
Late work
All assignments should be submitted on or before the due date stipulated. Assignments
received after the due date will be penalized (5% of allocated marks per late day).
Assignments more than a week late will NOT be accepted without prior approval for
emergency situation.
Active participation
Students are expected to come to class with questions and insights to offer others and
prepared to discuss the relevance and applications of the course materials.
Course materials and information
Check the LMS (http://lms.mgt.sjp.ac.lk) for the course materials and related
announcements. Information may also be available on the departmental students’
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noticeboard.
Academic integrity
Students are expected to be honest and ethical in their academic activities. If a student
deliberately does copying, cheating or plagiarizing, he or she may be penalized on the basis of
the University rules and regulations with regard to such acts of academic misconduct.
Classroom discipline
Proper self-conduct of students is always expected to ensure the smooth functioning of
classroom activities. Therefore, you are advised to avoid behaving in a disruptive manner
when lectures and practical classes are conducted. Disruptive behaviour includes interruption
caused by mobile phones and other electronic devices, chattering, sleeping, and
disengagement.
Students with special needs
Students are identified as the students with special needs by using the information provided
by student counsellors and the University healthcare centre. If needed, please make sure to
meet the student counsellor assigned and the officials in the University healthcare centre for
necessary steps. Depending on the information provided by them, certain adjustments to the
normal procedures may be made for the benefit of them. Such adjustments may include
course modification with a relatively lower workload, providing some auxiliary services
(reading lamps, lenses, papers with larger fonts and so on), extended time for examinations,
and substitutes for examinations (essays or oral tests).