Chapter -1 Logarithm | log 16 (4), log 16 (64) | BMS | K SCHEME | Basic Mathematics 311302 | MSBTE |

MSBTE | Chapter -1 Logarithm | Find the values of 1. log 16 (4)
2. log 16 (64) | BMS | K SCHEME | Basic Mathematics 311302 | MSBTE | Basic Mathematics 311302 | MSBTE K Scheme | Polytechnic |
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Semester : First
Course Title : BASIC MATHEMATICS
Course Code : 311302
Basic Mathematics (BMS 311302) – Chapter-wise Video Lectures
???? Course: Diploma in Engineering/Technology
???? Year: First Year (Semester 1)
???? Subject Code: 311302
???? Subject: Basic Mathematics (BMS)
???? Scheme: K Scheme
???? Board: MSBTE (Maharashtra State Board of Technical Education)

This playlist offers chapter-wise video lectures designed as per the MSBTE K Scheme syllabus for first-year polytechnic students. It is ideal for concept clarity, exam preparation, and self-paced learning.

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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.