MI4103 Business Mathematics Syllabus:
MI4103 Business Mathematics Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVE:
The objective of this course is to teach the mathematical concepts and principles of calculus, vector, etc. so that students will be able to apply their mathematical skills to various business problems.
UNIT I SEQUENCE AND SERIES
Progressions: Arithmetic, Geometric and Harmonic progressions – Means of two positive real numbers – Relation between A.M., G.M., and H.M. – Sequences in general – Specifying a sequence by a rule and by a recursive relation – Binomial expansion – Compound interest – Normal rate and effective rate.
UNIT-II VECTORS, MATRICES AND DETERMINANTS
Vectors: Operations on vectors – Matrices: Types of matrices – Matrice operations: Addition, Subtraction and Product of matrices, Multiplication of a matrix by a scalar – Determinants: Evaluation of determinants of order two and three – Properties of determinants – Singular and non- singular matrices – Product of two determinants – Rank of the matrix.
UNIT-III SETS AND FUNCTIONS
Sets: Set and sub-sets, Venn diagram and its applications – Operations on sets: Cartesian product of sets, Application – Functions: Algebraic functions (polynomial – linear, quadratic and rational), transcendental functions (exponential, log and trigonometric functions with identities) and inverse functions – The laws of logarithms and their uses.
UNIT-IV DIFFERENTIAL CALCULUS
Limit of functions – Continuity of functions and properties – Graphical interpretation – Differentiation: Geometrical interpretation – Differentiation using first principles – Rules of differential – Chain rule – Logarithmic differentiation of implicit function – Parametric functions – Second order derivatives – Application of derivatives: Maxima and Minima.
UNIT-V INTEGRAL CALCULUS
Standard Integration – Method of integrations: Integration of rational functions – Integration using algebraic substitution – Trigonometric integrals -Trigonometric substitution – Integration by parts – Definite integral – Properties of definite integrals.
TOTAL: 45 PERIODS
COURSE OUTCOMES:
1. Students will be able to formulate and analyze mathematical problems, precisely define the key terms and draw clear conclusion.
2. Students will be able to present their mathematical work both in oral and written formats.
REFERENCES:
1. John Bird “Higher Engineering Mathematics” Newnes (An Imprint of Elsevier), 4th Edition, 2006, Indian Edition, Noida.
2. James Stewart “Calculus with Early Transcendal Functions”, CENGAGE Learning 2008, Indian Edition, New Delhi.
3. H. Anton, I. Bivens and S. Davis ‘Calculus’, John Widely India Pvt. Ltd. 7th Edition, 2014, New Delhi.
4. B.M. Aggarwal, ‘Business Mathematics and Statistics” Ane Book Pvt. Ltd., 2015, Chennai.
5. M. Raghavachari, ‘A First Course in Mathematics for Management’. McGraw-Hill Education (India) Pvt. Ltd., 2015, New Delhi.