Dear students, if you are a student of Paint Technology first year first semester in diploma and you want to know what are the units in Applied Mathematics 1A, then you have reached the right place.
Today’s post, we will tell you in detail about the Applied Mathematics 1A syllabus. Before we start the post one thing you were must know which is, Applied Mathematics 1A is about to common subject in all Polytechnic branches . So let’s start the post .
DETAILED CONTENT OF POLYTECHNIC FIRST SEMESTER APPLIED MATHEMATICS 1A SYLLABUS FOR PAINT TECHNOLOGY
1. Algebra -I
1.1) Series : AP and GP; Sum, nth term, Mean
1.2) Binomial theorem for positive, negative and fractional index (without proof).
Application of Binomial theorem.
1.3) Determinants : Elementary properties of determinant of order 2 and 3, Multiplication
system of algebraic equation, Consistency of equation, Crammer’s rule.
2. Algebra- II
2.1) Vector algebra : Dot and Cross product, Scalar and vector triple product.
2.2) Complex number.
Complex numbers, Representation, Modulus and amplitude Demoivre
theorem, its application in solving algebraic equations, Mod. function and its
properties.
3. Trigonometry
3.1 Relation between sides and angles of a triangle : Statement of various formulae showing relationship between sides and angle of a triangle.
3.2 Inverse circular functions: Simple case only.
4. Differential Calculas-I
4.1) Functions, limits, continuity, – functions and their graphs, range and domain, elementary methods of finding limits (right and left), elementary test for continuity and differentiability.
4.2) Methods of finding derivative, Trigonometric functions, exponential function, Function of a function, Logaritimic differentiation, Differentiation of Inverse trigonometric function, Differentiation of implicit functions.
5. Differential Calculas – II
5.1) Higher order derivatives, Leibnitz theorem (without proof). Simple applications.
5.2) Application – Finding Tangents, Normal, Points of Maxima/Minima,
Increasing/Decreasing functions, Rate, Measure, velocity, Acceleration, Errors and approximation.
INSTRUCTONAL STRATEGY
1.) Dear students, if you want to pass the semester examination with good marks, then you will have to pay more attention to the Differential part. 10 marks of questions are asked on finding the Differential with the help of tangent and normal and first principle.
- ( Marks distribution shown in the Applied Mathematics 1A syllabus PDF. )
2.) If we talk about arithmetic progression and geometric series, very few questions are asked from here. Only questions of maximum 5 marks are asked for both the readers combined. To find out the value of the determinant, one question of 5 marks will definitely be asked.
3.) Assignments and Quiz/Class Tests
4.) Mid-term and End-term Written Tests
RECOMMENDED BOOKS
1.) Elementary Engineering Mathematics by BS Grewal, Khanna Publishers, New Delhi
2.) Engineering Mathematics, Vol I & II by SS Sastry, Prentice Hall of India Pvt. Ltd.,
3.) Applied Mathematics-I by Chauhan and Chauhan, Krishna Publications, Meerut.
4.) Applied Mathematics-I (A) by Kailash Sinha and Varun Kumar; Aarti Publication, Meerut
Download Applied Mathematics 1A Syllabus Pdf click here
Dear Students, please comment your suggestion and for any other subject’s BOOK, notes and syllabus PDF, leave a comment and tell us how you liked this article.
To read more article like this, bookmark website booksandsolutions.in
Thank you for giving us your most valuable time.