Mathematics

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KHUDKIBOOK
MATHEMATICS C4300001
FREE PDF C4300001
Code: C4300001 Credits: 4 Semester 1 MECHANICAL

Mathematics

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Mathematics Syllabus — Unit-wise Content

The official GTU curriculum for Mathematics (subject code C4300001) as prescribed for MECHANICAL · Semester 1 divides the course into 5 units, covering 25 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (C4300001)

Unit 1 Determinant and Function

  • 1.1. Determinant and its value up to 3rd order (Without properties)
  • 1.2. Function and simple examples.
  • 1.3. Logarithm as a function
  • 1.4. Laws of Logarithm and related Simple examples

Unit 2 Trigonometry

  • 2.1. Units of Angles (degree and radian)
  • 2.2. Trigonometric Functions
  • 2.3. Allied & Compound Angles, Multiple –Submultiples angles
  • 2.4. Graph of Sine and Cosine,
  • 2.5. Periodic Trigonometric function
  • 2.6. Sum and factor formulae
  • 2.7. Inverse Trigonometric function

Unit 3 Vectors

  • 3.1. Vector, Addition, Subtraction, Magnitude and direction.
  • 3.2. Scalar and Vector Product and it's properties
  • 3.3. Angle between two Vectors
  • 3.4. Applications of Scalar and Vector Product (Work Done and Moment of Force)

Unit 4 Coordinate Geometry

  • 4.1. Straight line (Two-point form) and slope of straight line
  • 4.2. Slope point form, Intercept form, General form of line
  • 4.3. Condition of parallel and Mathematics Course Code: 4300001 NITTTR Bhopal – GTU - COGC-2021 Curriculum Topics and Sub-topics solve the given problems.
  • 4.4. Equations of Parallel lines and Perpendicular lines to the given lines
  • 4.5. Angle between two lines.
  • 4.6. Equation of circle with center and Radius.
  • 4.7. General equation of circle.
  • 4.8. Tangent and normal to a circle.

Unit 5 Limit

  • 5.1. Limit of a Function.
  • 5.2. Standard formulae of Limit and related simple examples. Note: The Unit Outcomes (UOs) need to be formulated at the ‘Application Level’ and above of Revised Bloom’s Taxonomy’ to accelerate the attainment of the COs and the competency.

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