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# MATH10030

Subject:
Mathematics
College:
Science
School:
Mathematics & Statistics
Level:
1 (Introductory)
Credits:
5
Module Coordinator:
Dr Rupert Levene
Trimester:
Autumn
Mode of Delivery:
Blended
Internship Module:
No

Curricular information is subject to change.

This mathematics module has been specifically designed with the mathematical needs of the business undergraduate in mind. Mathematics plays an important role in subject areas such as Accountancy, Economics, and Finance, but skills such as the ability to problem solve, interpret and analyse information pervades all of Business. This module will focus on some of the major concepts and mathematical techniques of Calculus which the business undergraduate is likely to encounter.

###### Learning Outcomes:

On completion of this module the student is expected to be able to:

Graph polynomial functions, and the exponential and natural logarithm functions and analyse their graphs.

Be able to use polynomials in supply/demand analysis.

Determine interest, present values and future value of shares and deposits.

Explain the concept of the derivative and differentiate products, quotients and compositions of the functions listed above.

Optimise functions of one real variable.

Find the partial derivatives of functions of several variables.

Optimise functions of two variables, with and without constraints.

Use the optimisation techniques to maximise/minimise production/costs.

Add and multiply appropriate matrices and describe the concept of identity matrix and invertible matrix and find the inverse of a 2x2 matrix where possible.

Model problems in business and apply mathematical techniques to find and interpret a solution.

###### Indicative Module Content:

Section 1.1 - Functions
Section 1.2 - Linear Functions
Section 1.4 - Supply and Demand Analysis
Section 1.5 - Revenue, Cost and Profit Analysis

2 - Exponential and Natural Logarithm Functions with Applications to Business

Section 2.1 - The Exponential Function
Section 2.2 - Percentages and Compound Interest
Section 2.3 - The Natural Logarithm Function
Section 2.4 - Continuously Compounded Interest

3 - Differentiation with Applications to Business

Section 3.1 - Differentiation
Section 3.2 - Marginal Analysis
Section 3.3 - Elasticity

4 - Optimisation with Applications to Business

Section 4.1 - Optimisation
Section 4.2 - Optimisation with Applications to Business

5 - Functions of Several Variables with Applications to Business

Section 5.1 - Partial Differentiation
Section 5.2 - Optimisation of Functions of Two Variables
Section 5.3 - Lagrange Multipliers

6 - Matrices

Section 6.1 - Matrix Algebra
Section 6.2 - Invertible Matrices

###### Student Effort Hours:
Student Effort Type Hours
Lectures

24

Tutorial

6

Autonomous Student Learning

46

Online Learning

24

Total

100

###### Approaches to Teaching and Learning:
The core content of the module will be covered in online videos.

In conversation classes, students will be encouraged to engage with problems and tasks based on material covered in the videos.

In most weeks of the trimester, students will have formative assessment (an online quiz).

Students will be encouraged to complete worksheets in their own time.
###### Requirements, Exclusions and Recommendations
Learning Requirements:

You should have achieved a minimum O3 in Leaving Certificate Mathematics or equivalent.

###### Module Requisites and Incompatibles
Incompatibles:
ECON10030 - Intro Quantitative Economics, MATH00010 - Introduction to Mathematics, MATH10120 - Linear Algebra Apps to Econ, MATH10130 - Intro to Analysis (E&F), MATH10200 - Matrix Algebra, MATH10210 - Found. of Math. for Com.Sc. I, MATH10220 - Found. of Math. for Com. Sc II, MATH10230 - Mathematics for Agriculture I , MATH10240 - Mathematics for Agriculture II, MATH10250 - Intro Calculus for Engineers , MATH10260 - Linear Algebra for Engineers, MATH10290 - Linear Algebra for Science, MATH10310 - Calculus for Science, MATH10340 - Linear Algebra 1 (MPS), MATH10350 - Calculus (MPS), MATH10390 - Linear Algebra (Online), MATH10400 - Calculus (Online), MATH20330 - Optimisation for Economics, MST00050 - Mathematics: An introduction, MST10010 - Calculus I

Students should have achieved a minimum O3 in Leaving Certificate Mathematics or equivalent.

###### Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): December exam (in-person) End of trimester
Duration:
2 hr(s)
Alternative linear conversion grade scale 40% No
60
No
Assignment(Including Essay): Online assignments Week 1, Week 2, Week 3, Week 4, Week 5, Week 6, Week 9, Week 10, Week 11, Week 12 Alternative linear conversion grade scale 40% No
20
No
Exam (Online): Midterm test Week 7 Alternative linear conversion grade scale 40% No
20
No

###### Carry forward of passed components
No

Resit In Terminal Exam
Spring Yes - 2 Hour
###### Feedback Strategy/Strategies

• Feedback individually to students, post-assessment
• Group/class feedback, post-assessment
• Online automated feedback

###### How will my Feedback be Delivered?

Students will sit online quizzes with immediate individual feedback on their answers. Conversation classes will give further feedback opportunities.

Name Role
Dr Anthony Brown Lecturer / Co-Lecturer
Assoc Professor Anthony Cronin Lecturer / Co-Lecturer
Dr Rupert Levene Lecturer / Co-Lecturer
Dr Sarah Donne Tutor
Mrs Catherine Jeffares Tutor
Mr Peter Neamti Tutor
Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Autumn Conversation Class Offering 1 Week(s) - 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13 Mon 15:00 - 15:50
Autumn Conversation Class Offering 1 Week(s) - 5 Mon 15:00 - 15:50
Autumn Lecture Offering 1 Week(s) - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 Wed 15:00 - 15:50
Autumn External & School Exams Offering 1 Week(s) - 7 Wed 19:00 - 20:50
Autumn Conversation Class Offering 2 Week(s) - 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13 Mon 14:00 - 14:50
Autumn Conversation Class Offering 2 Week(s) - 5 Mon 14:00 - 14:50
Autumn Lecture Offering 2 Week(s) - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 Wed 16:00 - 16:50
Autumn External & School Exams Offering 2 Week(s) - 7 Wed 19:00 - 20:50
Autumn Tutorial Offering 1 Week(s) - Autumn: All Weeks Tues 13:00 - 13:50
Autumn Tutorial Offering 2 Week(s) - Autumn: All Weeks Tues 13:00 - 13:50
Autumn Tutorial Offering 3 Week(s) - Autumn: All Weeks Tues 13:00 - 13:50
Autumn Tutorial Offering 4 Week(s) - Autumn: All Weeks Tues 14:00 - 14:50
Autumn Tutorial Offering 5 Week(s) - Autumn: All Weeks Tues 12:00 - 12:50
Autumn Tutorial Offering 6 Week(s) - Autumn: All Weeks Tues 12:00 - 12:50
Autumn Tutorial Offering 7 Week(s) - Autumn: All Weeks Tues 14:00 - 14:50
Autumn Tutorial Offering 8 Week(s) - 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 Tues 14:00 - 14:50
Autumn Tutorial Offering 8 Week(s) - 2 Tues 14:00 - 14:50
Autumn Tutorial Offering 9 Week(s) - Autumn: All Weeks Tues 11:00 - 11:50
Autumn Tutorial Offering 10 Week(s) - Autumn: All Weeks Tues 11:00 - 11:50
Autumn Tutorial Offering 11 Week(s) - Autumn: All Weeks Tues 11:00 - 11:50
Autumn Tutorial Offering 12 Week(s) - Autumn: All Weeks Tues 12:00 - 12:50