Course Type | Course Code | No. Of Credits |
---|---|---|
Discipline Elective | SGA1FC102 | 4 |
Pre-requisites: Knowledge of school mathematics broadly of the X 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.
Another aspect to the course is that it aims to create an appreciation of
mathematics in nature via discussions on symmetry and perspective in art. Real-life examples, hands-on projects, presentations, case studies, visualization and basic computing tools will be used to reinforce skills of logical reasoning, data analysis and interpretation.
Course Outcomes:
On successful completion of course the student will be familiar with the basics of abstract language of mathematics and various tools of statistics. The course develops a new perspective of visualizing mathematics in nature and surrounding. Also, it develops the skill of critical thinking, reasoning and analyzing problems in daily life.
Brief description of modules/ Main modules:
- Sets
- Statistics: Data analysis and interpretation
- Symmetry and Perspective
- Logical Reasoning
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 Weightage
- Class Test 20%
- Mid-Sem Exam/ Assignment 30%
- Assignment/ Viva 10%
- End-Sem Exam 40%
Indicative reading list:
- S. Bagai, P. Jain and G Venkataraman, A Bridge to Mathematics, sage publications, 2017.
- James Wooland, Maths for liberal arts, Florida State University, www.math.fsu.edu/~wooland/.
- Handling data: www.bbc.co.uk/schools/revisewise/maths/data/.