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Basic Mathematics [1]

Paper Code: 
25GMAT301
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to –

  1. Students will be expected to actively do mathematics, such as analyzing data, constructing hypotheses and solving problems.

 

Course Outcomes: 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

COURSE Code

COURSE Title

25GMAT 301

 

 

 

 

 

 

 

Basic

Mathematics

(Theory)

 

 

 

 

 

 

CO1: Distinguish between permutations and combinations and also to deduce/derive a general formula for nPr and nCr

CO2: Apply the knowledge of arithmetic progression (A. P.) and geometric progression (G.P.) to solve the related problems.

CO3: Explain the concept of matrices to solve the problems.

CO4: Analyze properties to compute determinants and solve systems of linear equations.

CO5:  Explore the concept of Vectors and related operations.

CO6: Contribute effectively in course-specific interaction.

Approach in teaching:

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

 

Learning activities for the students:

Self learning assignments, Effective questions, presentations, Assigned tasks

 

 

Quiz,

Individual and group tasks,

Open Book Test, Semester End Examination

 

Unit I: 
Permutations and Combinations
12.00
 Fundamental principle of counting. Factorial n (n!), Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.
 
Unit II: 
Sequence and Series
12.00
Sequence and Series. Arithmetic Progression (A.P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.), General term of a G.P., Sum of n terms of a G.P., Infinite G.P. and its sum, Geometric mean (G.M.), Relation between A.M. and G.M.
 
Unit III: 
Matrices
12.00
Concept, Notation, Order, Equality, Types of matrices, Zero and identity matrix, Transpose of a matrix, Symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar, Simple properties of addition, Multiplication and scalar multiplication. 
 
Unit IV: 
Determinants
12.00
Determinant of a square matrix (up to 3 x 3 matrices), Minors, Co-factors, Adjoint and inverse of a square matrix. Consistency, Inconsistency and number of solutions of system of linear equations in two variables, Solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix and Cramer's law.
 
Unit V: 
Vectors
12.00
Vectors and scalars, Magnitude and direction of a vector, Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), Position vector of a point, Negative of a vector, Components of a vector, Addition of vectors, Multiplication of a vector by a scalar,  Scalar (dot) product, Vector (cross) product with properties.
 
Essential Readings: 
  • Text Books of Mathematics prescribed by NCERT for class XI and XII.
  • R.S.Agarwal, “Mathematics for class 12”, Bharati Bhavan, New Delhi.
 
References: 
  • R. D. Sharma, “Mathematics Vol-2”, Dhalpat Raj & Sons. (For Unit-I)

 

 

 

e- RESOURCES
 
Academic Year: 
2025-2026 [4]

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Source URL: https://maths.iisuniv.ac.in/courses/subjects/basic-mathematics-0

Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/basic-mathematics-0
[2] https://www.maths.ed.ac.uk/~v1ranick/papers/aitken.pdf 
[3] https://ncert.nic.in/textbook/pdf/lemh204.pdf 
[4] https://maths.iisuniv.ac.in/academic-year/2025-2026