Course Objectives :
The course aims to acquaint the students with the fundamentals of analytical mathematics and their use in some important applications of chemistry (e.g. Huckel theory, maximally populated rotational energy levels and Bohr’s radius). This course also aims to make the students aware about the concept of matrix properties, calculus, probability and elementary differential equation (first order & first degree).
Course Outcomes (COs):
COURSE |
Learning outcomes (at course level) |
Learning and teaching strategies |
Assessment Strategies |
|
---|---|---|---|---|
Paper Code |
Paper Title |
|||
CHY 125(A) |
Mathematics for Chemists |
The students will be able to-
CO23-employ basic operations like addition, multiplication, transpose, inverse and determinant of matrices. CO24-differentiate one variable function up to a higher order, two variable functions up to second order. CO25-apply the basic rules of integration on one variable function and product of one variable functions. CO26-analyze the simple problems of permutation, combination and probability and concept of scalars and vectors and their operations. CO27-distinguish between the concept of order and degree of differential equation and solution of first order and first degree linear differential equation. |
Traditional chalk & board method
Group discussions
Tutorials
Quiz
Problem solving
Question preparation-Subjective type-Long answer & Short answer Objective type- Multiple choice questions, One answer/two answer type questions
Assertion and reasoning |
Group/ Individual Presentations
Written Test
Assignment
Semester end examination |
Matrix properties: Matrix addition and multiplication, adjoint, transpose and inverse of matrices, special matrices (symmetric, skew-symmetric, unit, diagonal), determinants (examples from Huckel theory).
Rules for differentiation, applications of differential calculus including maxima and minima (examples related to maximally populated rotational energy levels, Bohr’s radius and most probable velocity from Maxwell’s distribution etc.), partial differentiation, co-ordinate transformations.
Integral calculus: Basic rules for integration, integration by substitution, integration by parts and through partial fraction.
Permutation and Probability: permutations and combinations, probability and probability theorems, curve-fitting (including least squares fit etc.) with a general polynomial fit.
Scalars and vectors, addition, subtraction and multiplication of vectors. Vector operators: Gradient, divergence and curl. (Expressions only).
Order and degree of differential equation solution of first order and first degree linear differential equation by variable-separable, homogenous and linear equations, applications to chemical kinetics, secular equilibria, quantum chemistry etc.