APPLIED MATHEMATICS-I
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Follow on Instagram for UpdatesAPPLIED MATHEMATICS-I Syllabus — Unit-wise Content
The official GTU curriculum for APPLIED MATHEMATICS-I (subject code 3310102) as prescribed for CIVIL · Semester 1 divides the course into 7 units, covering 44 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 (3310102)Unit 1 Logarithm
- 1.1. Students will be able to solve simple problems Using concepts of Logarithms
- 1.1. Concept , Rules and related Examples. Solve simple problems using concepts of Logarithms APPLIED MATHEMATICS - I Course Code:3310102 GTU/ 15-16 Gujarat State 2 Unit Outcomes (in cognitive domain) Major Learning Topics and Sub-topics
Unit 2 Determinants and Matrices
- 2.1. Students will be able Solve simultaneous equations using concepts of Determinants and Matrices
- 2.1. Idea of Determinant and Matrix
- 2.2. Types of Matrices
- 2.3. Addition/Subtraction ,Product, Inverse of matrices ( up to 3X3 matrix)
- 2.4. Solution of Simultaneous Linear Equations(up to three variables)
Unit 3 Trigonometry
- 3.1. Students will be able Solve simple problems using concepts of Trigonometry
- 3.1. Measures of Angles (transformation from degree to radian and radian to degree)
- 3.2. Allied & Compound Angles
- 3.3. Graph of Sine and Cosine
- 3.4. Periodic functions
- 3.5. Sum and Factor formulae
- 3.6. Multiple – Submultiples angles
- 3.7. Inverse trigonometric function
Unit 4 Sequences and Series
- 4.1. Students will be able Solve simple problems using concepts of Sequences and series
- 4.2. Arithmetic Progression
- 4.3. Arithmetic Series
- 4.4. Geometric Progression
- 4.5. Geometric Series
- 4.6. Arithmetic Mean and Geometric Mean.
Unit 5 Vectors
- 5.1. Students will be able Solve simple problems using concepts of Vectors
- 5.1. Basic concept of Vector and Scalar
- 5.2. Addition & Subtraction of Vectors
- 5.3. scalar and vector Product 5.4Geometric meaning of Scalar and Vector Product 5.5Angle between two vectors
- 5.6. Applications of Dot (scalar) and Cross (vector) Product
- 5.7. Work done and Moment of Force.
Unit 6 Co-ordinate Geometry
- 6.1. Find the distance between two points, use Mid-Point formula for quadrilateral
- 6.2. Find the equation of locus using Distance Formula
- 6.3. Find the equation of line using the different forms
- 6.4. Find the equation of circle
- 6.5. Find Tangent and Normal to the circle 6.1Point : 6.1.1Distance Formula
- 6.1.3. Locus of a point 6.2Straight Line : 6.2.1Forms of Equation of St Lines
- 6.2.2. Slope Point Form
- 6.2.3. Two Point Form
- 6.2.4. Intercept Form
- 6.2.5. Parallel and Perpendicular lines
- 6.3. Circle : 6.3.1Equation of Circle
- 6.3.2. Centre and radius form
- 6.3.3. General form of circle
- 6.3.4. Tangent and Normal and related problems. APPLIED MATHEMATICS - I Course Code:3310102 GTU/ 15-16 Gujarat State 3 Unit Outcomes (in cognitive domain) Major Learning Topics and Sub-topics
Unit 7 Mensuration
- 7.1. Students will be able Calculate the area,surface area ,volume and capacity of 2D & 3D shapes and bodies.
- 7.1. Area of Triangle, Square, Rectangle, Trapezium, Parallelogram, Rhombus and Circle
- 7.2. Surface Area & Volume of Cuboids, Cone, Cylinder and Sphere, Capacity of solids.
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