Maths
Qualifier Exam

Weeks

1

2

3

4

Computational Thinking
Qualifier Exam

Weeks

1

2

3

4

Stats
Qualifier Exam

Weeks

1

2

3

4

English
Qualifier Exam

Weeks

1

2

3

4

Maths
Qualifier Exam

Weeks

IIT Madras BS Syllabus

IIT Madras BS Syllabus

Maths

Week 1

Set Theory - Number System, Sets and their operations, Relations & functions -relations & their types, Functions & their types.

Week 2

Rectangular coordinate system, Straight lines - Slope of lines, Parallel and Perpendicular lines, representations of a line, General equations of a line, Straight line fit.

Week 3

Quadratic Functions - Quadratic funtions, Minima, Maxima, Vertex and Slope. Quadratic Equations.

Week 4

Algebra of Polynomials - Addition, Substraction, Multiplication, & Division, Alogrithms, Graph of Polynomials - X-intercepts, multiplicities, end behaviour and turning points, Graphing and Polynomial creation.


Stats

Week 1

Introduction and type of data, Type of data, Descriptive and Inferential Statistics, Scales of Measurement.

Week 2

Describing categorical data , Frequency distribution of categorical data, Best practices for graphing categorical data, Mode & Median for categorical variable.

Week 3

Describing numerical data, Frequency tables for numerical data, Measurements of central tendency - Mean, median & mode, Quartiles and percentiles, Measurement of dispersion - Variance, range, standard deviation & IQR, Five Number summary.

Week 4

Association between two variables -Association bwtween two categorical variables - Using relative frequencies in contingency tables, Association bwtween two numerical variables - Scatterplot, covariance, Pearson correlation coefficient, Point bi-serial correlation coefficient.


Computational Thinking

Week 1

variables, Initialization, Iterators, Filtering, Datatypes, Flowcharts, Sanity of data.

Week 2

Iteration, Filtering, Selection, Psuedocode, Finding max & min, AND Operator.

Week 3

Multiple iterations (non-nested), Three-prizes problem, Procedures, Parameters, Side-effects, OR operator.

Week 4

Nested iterations, Birthday paradox, Binning.


English

Week 1

Sounds & Words.

Week 2

Sounds & Words (Continued).

Week 3

Sounds & Words (Continued).

Week 4

Sentences.

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