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DI01000021 · Semester 1 · 5G scheme

Mathematics-I

Notes and solutions following the Gujarat Technological University (GTU) syllabus for DI01000021. Independent material — not issued by the university.

Common to all branches

Materials

Syllabus

The official syllabus this material follows.

  • Syllabus

    4 pages

    FreeRead

Complete Book

The whole syllabus, unit by unit, written for the exam.

Problem Solver

Step-by-step solutions to typical problems.

PYQ Solutions

Past university papers, fully solved.

Syllabus units

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 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

About this course

This course of Mathematics is being introduced for providing a solid foundation in basic mathematics concepts and operations that are crucial for further education and everyday problem-solving. This course is an attempt to include topics which are directly applicable to various fields of engineering, technology, business and sciences and develop logical reasoning and critical thinking abilities. The course is designed focusing on multidisciplinary and competency development to ensure students can effectively use mathematical methods and principles in their vocational and technical fields. The components of course ensure that it is comprehensive, practical and aligned with both academic and professional requirements.