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4G curriculum (older)

For students clearing pending subjects of the 4G scheme (7-digit subject codes, e.g. 4341602). Students admitted under the current scheme study the 5G curriculum.

4300001 · Semester 1 · 4G scheme

Mathematics

Notes and solutions following the Gujarat Technological University (GTU) syllabus for 4300001. Independent material — not issued by the university.

Common to all branches

Materials

Syllabus

The official syllabus this material follows.

  • Syllabus

    10 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 Function9 h · 16 marks
  • Determinant and its value up to 3rd order
  • Function and simple examples
  • Logarithm as a function
  • Laws of Logarithm and related Simple examples
Unit 2: Trigonometry12 h · 14 marks
  • Units of Angles
  • Trigonometric Functions
  • Allied & Compound Angles, Multiple –Submultiples angles
  • Graph of Sine and Cosine
  • Periodic Trigonometric function
  • Sum and factor formulae
  • Inverse Trigonometric function
Unit 3: Vectors7 h · 14 marks
  • Vector, Addition, Subtraction, Magnitude and direction
  • Scalar and Vector Product and its properties
  • Angle between two Vectors
  • Applications of Scalar and Vector Product
Unit 4: Coordinate Geometry8 h · 14 marks
  • Straight line (Two-point form) and slope of straight line
  • Slope point form, Intercept form, General form of line
  • Condition of parallel and perpendicular lines
  • Equations of Parallel lines and Perpendicular lines to the given lines
  • Angle between two lines
  • Equation of circle with center and Radius
  • General equation of circle
  • Tangent and normal to a circle
Unit 5: Limit6 h · 12 marks
  • Limit of a Function
  • Standard formulae of Limit and related simple examples

About this course

This course of Mathematics is being introduced as a foundation which will help students in developing competency and the requisite course outcomes in most of the Diploma Engineering programs. Components of Mathematics like Algebra, Geometry, Calculus, Computer computation work as a tool to describe physical phenomena and to evaluate the merit of different possible solutions. This course is an attempt to initiate the multi-dimensional logical thinking and reasoning capabilities. It will help the students to apply the basic principles of Mathematics to solve related technology problems. The course will give the students an insight to apply and analyse the Engineering problems scientifically based on the subject of Trigonometry, Differential Calculus and Basic elements of algebra and coordinate geometry to give a comprehensive coverage at an introductory level.