programme

Logic and Reasoning

Home/ Logic and Reasoning
Course TypeCourse CodeNo. Of Credits
Foundation CoreFC0444

School/Centre proposing the course

SUS

Programme(s)

BA Honours

Course title

Logic and Reasoning

Course code

FC044

Credits

4

Course type (core/compulsory/optional/any other – please specify)

Optional foundation

Level (Predoctoral/MA/PG Diploma/Certificate/UG)

UG

Course coordinator and team

Ramneek Khassa and others

 

  1. Does the course connect to, build on or overlap with any other courses offered in AUD?
  2. NA
  3. Specific requirements on the part of students who can be admitted to this course:
  4. Mathematics broadly of the Xth grade CBSE level
  5. No. of students to be admitted (with justification if lower than usual cohort size is proposed):
  6. Sections of not more than 50 students
  7. Course scheduling:
  8. One semester course offered in Monsoon semester
  9. Proposed date of launch:
  10. Already running. Earlier it was a compulsory foundation course, now it is optional.
  11. How does the course link with the vision of AUD and the specific programme(s) where it is being offered?

The topics included in this course directly and indirectly emphasise logical thinking, reasoning and analysis. These are basic skills required by all students.

Course Details:

  1. Summary: The course has been designed to develop the skills of critical thinking, reasoning and analysing problems. It also aims to familiarise students with use of technology like working with spread sheets etc.
  2. Objectives : 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.
  3. Overall structure:

MAIN MODULES:

  1. Sets, logic and reasoning
  2. Quantitative methods, Data analysis and interpretation.
  3. Awareness and reasoning

Contents (brief note on each module; indicative reading list with core and supplementary readings) :

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.

REFERENCES:

  • 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/
  • Shobha Bagai, Amber Habib and Geetha Venkataraman, `A Bridge to Mathematics’, Sage Publications India Pvt Ltd., 2017.

Pedagogy:

  • Instructional design : Classroom lectures, Computer Lab work
  • Special needs :
  • Library, Classroom, Computer Lab
  • Expertise in AUD faculty or outside : AUD faculty
  • Linkages with external agencies (e.g., with field-based organizations, hospital; any others) NA
  • Assessment structure (modes and frequency of assessments):
  • Tentative Assessment schedule with details of weightage:

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%