Mathematics-I

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MATHEMATICS-I DI01000021
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Code: DI01000021 Credits: 4 Semester 1 CSAI

Mathematics-I

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Mathematics-I Syllabus — Unit-wise Content

The official GTU curriculum for Mathematics-I (subject code DI01000021) as prescribed for CSAI · Semester 1 divides the course into 5 units, covering 9 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 (DI01000021)

Unit 1 Determinant

9 lecture hours

  • 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

12 lecture hours

  • 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

9 lecture hours

  • 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) Program Name: Engineering Level: Diploma Branch: All Course / Subject Code : DI01000021 Course / Subject Name : Mathematics-I

Unit 4 Coordinate

8 lecture hours

  • 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 perpendicular lines 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. 7 17

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