311302 Basic Mathematics K scheme Syllabus

Are you a student pursuing a Diploma in Artificial Intelligence under the K program and looking for the latest courses?

You have come to the right place! In this post, we have provided detailed information and free downloadable PDF of 313302 Database Managment System for 2024 academic year.

Students I also have completed Diploma in Artificial Intelligence So, I know it is very difficult to find out the syllabus from the official website of Maharashtra State Board of Technical Education.

Stay ahead of your studies by having access to the most up-to-date curriculum, including important topics, course objectives and learning outcomes that are critical to your academic success. Don’t miss out on this treasure!

List of Unit of 311302 Basic Mathematics

Unit - I Algebra
Unit - II Trigonometry
Unit - III Straight Line
Unit - IV Differential Calculus
Unit - V Statistics

Unit - I Algebra

1.1 Logarithm: Concept and laws of logarithm.

1.2 Matrices: Matrices, algebra of matrices,

transpose, value of determinant of matrix of order

3x3, adjoint and inverse of matrices.

1.3 Matrices: Solution of simultaneous equations by

matrix inversion method.

1.4 Partial Fractions: Types of partial fraction based

on nature of factors and related Problems.

1.5 Algebra in Indian Knowledge System: Solution

of simultaneous equations (Indian Mathematics)

Unit - II Trigonometry

2.1 Trigonometric ratios of allied angles, compound
angles, multiple angles (2A, 3A), submultiples
angles. (without proof)
2.2 Factorization and De factorization formulae.
(without proof).
2.3 Inverse Trigonometric Ratios and related
problems.
2.4 Principle values and relation between
trigonometric and inverse trigonometric ratios.
2.5 Trigonometry in Indian Knowledge System: The
Evolution of Sine Function in India.
2.6 Indian Trigonometry: Basic Indian
Trigonometry- Introduction and Terminology (From
Ancient Beginnings to Nilakantha).
2.7 Trigonometry in Indian Knowledge System:
Pythagorean triples in Sulabasutras.

Unit - III Straight Line

3.1 Straight line and slope of straight line: Angle
between two lines, Condition of parallel and
perpendicular lines.
3.2 Various forms of straight lines: Slope point
form, two-point form, Double intercept form,
General form.
3.3 Perpendicular distance from a point on the line.
3.4 Perpendicular distance between two parallel
lines.
3.5 Geometry in Sulabasutras in Indian Knowledge
System (construction of square, circling the square).
(Indian Mathematics).

Unit - IV Differential Calculus

4.1 Functions and Limits: Concept of function and
simple examples.
4.2 Functions and Limits: Concept of limits without
examples.
4.3 Derivatives: Rules of derivatives such as sum,
Product, Quotient of functions.
4.4 Derivatives: Derivative of composite functions
(chain Rule), implicit and parametric functions.
4.5 Derivatives: Derivatives of inverse, logarithmic
and exponential functions.
4.6 Applications of derivative: Second order
derivative without examples, Equation of tangent
and normal, Maxima and minima, Radius of
curvature.
4.7 Calculus in Indian Knowledge System: The
Discovery of Calculus by Indian Astronomers.
(Indian Mathematics).

Unit - V Statistics

5.1 Range, coefficient of range of discrete and
grouped data.
5.2 Mean deviation and standard deviation from
mean of grouped and ungrouped data.
5.3 Variance and coefficient of variance.
5.4 Comparison of two sets of observation.

List of Tutorials for 311302 Basic Mathematics

Solve simple problems of Logarithms based on given applications.
Solve elementary problems on Algebra of matrices for branch specific engineering related applications.
Solve solution of Simultaneous Equation using inversion method.
Apply Matrix Inversion method to determine currents through various branches of given electrical networks.
Determine inverse of a non-singular matrix by using open source software.
Resolve into partial fraction using linear non- repeated, repeated, and irreducible quadratic factors.
Solve problems on Compound, Allied, multiple and sub multiple angles for related shapes.
Practice problems on factorization and de factorization.
Solve problems on inverse trigonometric ratios based on applications.
Practice problems on equation of straight lines using different forms.
Solve problems on perpendicular distance, distance between two parallel lines and angle between two lines.
Use given form of straight line to calculate the speed, distance and time of moving object.
Solve problems to find derivatives of implicit function and parametric function.
Solve problems to find derivative of logarithmic and exponential functions for engineering applications.
Solve problems based on finding equation of tangent and normal for engineering applications.
Solve problems based on finding maxima, minima of function and radius of curvature at a given point for engineering applications.
Use the concept of tangent and normal to solve the given problem of Engineering Drawing.
Use the concept of Maxima and Minima to obtain optimum value for given engineering problem.
Use the concept of radius of curvature to solve given branch specific engineering problem.
Use the concept of derivative to find the slope of a bending curve for given engineering problem.
Solve problems on finding range, coefficient of range and mean deviation for given applications.
Solve problems on standard deviation, coefficient of variation and comparison of two sets.
Calculate the Standard Deviation for Concrete with the given data for given engineering applications.

Unit Wise Weightage of 313302 Database Management System

HTML Table Generator

Sr.No	Units	Weightage
1	Unit - I Algebra	14
2	Unit - II Trigonometry	14
3	Unit - III Straight Line	8
4	Unit - IV Differential Calculus	20
5	Unit - V Statistic	14