programme

Logic and Reasoning

Home/ Logic and Reasoning
Course TypeCourse CodeNo. Of Credits
Foundation CoreSUS1FC0444

Semester and Year Offered: 1st semester and 2010

Course Coordinator and Team: Geetha Venkataraman, Divya Bhambri, Rakhi Bannerjee, Ramneek Khassa, Pranay Goswami, Balchand Prajapati, Mradul Veer Singh, Rachna Shokhanda

Email of course coordinator: rshokhanda@aud.ac.in

Pre-requisites: Mathematics broadly of the Xth grade CBSE level.

Aim:

The aim of the course is to offer a gentle introduction to very basic concepts of sets and logic, to develop a familiarity with simple techniques for quantifying and analysing data including a capacity to use simple computer worksheet programmes for the same. The course also aims to create an appreciation of mathematics in nature via discussions on symmetry and perspective in art.

Course Outcomes:

The course equips students with skills of data analysis, interpretation and logical thinking. It enables computer literacy in students. Awareness aspect of the course allows students to see mathematical concepts that are part of the world around us.

Brief description of modules/ Main modules:

Sets, logic and reasoning

Sets, subsets, power set, union and intersection, venn- diagrams, survey problems, Statements, analysing simple and compound statements, truth-value, negation, truth-tables, tautology, Logical equivalence, Analysis of arguments, patterns of reasoning.

Quantitative methods, Data analysis and interpretation.

Raw data, classifying raw data, use of spreadsheets, average, percentage, percentiles, quartiles,

mean, mode median, pie charts, bar charts, scatter plots, frequency distribution, histograms,

interpreting graphs

Awareness and reasoning

Symmetry, reflections, rotations, symmetry type, strip patterns, wall-paper patterns, symmetry in art and architecture with special reference to art of MC Escher and Taj Mahal, perspective, perspective in art, vanishing points, drawing with perspective.

Assessment Details with weights:

S.No

Assessment

Date/period in which Assessment will take place

Weightage

1

Class test

End August

10%

2

Mid Semester Exam

As per AUD Academic Calendar

25%

3

Home assignment/Lab

Throughout the semester

20%

4

Presentation/ Viva

End October/Early November

10%

5

End Semester Exam

As per AUD Academic Calendar

35%

 

Reading List:

  • Shobha Bagai, Amber Habib and Geetha Venkataraman, `A Bridge to Mathematics’, Sage Publications India Pvt Ltd., 2017.
  • Shobha Bagai, Pankaj Jain and Geetha Venkataraman, Mathematical Awareness, Institute of Life Long Learning, University of Delhi, 2009. (Print version of e-lessons.)
  • James Wooland, Maths for liberal arts, Florida State University, www.math.fsu.edu/~wooland/.
  • Handling data: www.bbc.co.uk/schools/revisewise/maths/data/

ADDITIONAL REFERENCE: