APPLIED MATHEMATICS-II
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APPLIED MATHEMATICS-II Syllabus — Unit-wise Content
The official GTU curriculum for APPLIED MATHEMATICS-II (subject code 3320101) as prescribed for CIVIL · Semester 2 divides the course into 6 units, covering 36 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 (3320101)Unit 1 Complex Number
- 1.1. Simplify Complex expressions
- 1.2. Find Modulus and Amplitude of given expressions
- 1.3. Use De Moivres’ Theorem to simplify mathematical expressions and to find roots
- 1.2. Modulus and Amplitude form
- 1.3. Root of Complex Number
- 1.4. De Moivres’ Theorem. APPLIED MATHEMATICS- II Course Code: 3320101 GTU/ NITTTR Bhopal/12-13 Gujarat State 2 Unit Outcomes (in cognitive domain) Major Learning Topics and Sub-topics
Unit 2 Function & Limit
- 2.1. Solve the problem using functions
- 2.2. Solve the problem of function using the concept of Limit
- 2.1. Function Concept and Examples
- 2.2. Limit Concept of Limit, Standard Formulae and related Examples.
Unit 3 Interpolation
- 3.1. Students will be able to solve Interpolation by Polynomials and Error
- 3.1. Newton Forward and Backward Method
- 3.2. Lagrange’s Divided Difference Method
- 3.3. Error of Interpolating polynomial
Unit 4 Differentiation
- 4.1. Differentiate the various function 4.2Apply the differentiation to Velocity, Acceleration and Maxima & Minima 4.1Differentiation: 4.1.1Definition
- 4.1.2. Rules of Sum, Product, Quotient of Functions,
- 4.1.3. Chain Rule
- 4.1.4. Derivative of Implicit functions and Parametric Functions
- 4.1.5. Logarithmic Differentiation.
- 4.1.6. Successive Differentiation up to second order
- 4.2. Application: 4.2.1 Velocity, Acceleration 4.2.2Maxima & Minima.(simple problems)
Unit 5 Integration & its application
- 5.1. Integrate the various function
- 5.2. Apply the Integration for finding Area and Volume
- 5.1. Integration: 5.1.1 Concept
- 5.1.2. Integral of Standard Functions
- 5.1.3. Working Rules of Integration
- 5.1.4. Integration by Parts
- 5.1.5. Integration by Substitution Method
- 5.1.6. Definite Integral and its properties.
- 5.2. Application: 5.2.1 Area and Volume.(simple problems).
Unit 6 Differential Equations
- 6.1. Find the Order and Degree of a Differential Equation.
- 6.2. Form a Differential Equation for simple Engineering problems
- 6.3. Solve Differential Equations using Variable Separable, Homogeneous and Integrating Factor methods.
- 6.1. Definition, Order and Degree of Differential Equation
- 6.2. Formation of DE
- 6.3. Solution of DE of First Degree and First Order by Variable Separable, Homogeneous and Integrating Factor methods. APPLIED MATHEMATICS- II Course Code: 3320101 GTU/ NITTTR Bhopal/12-13 Gujarat State 3
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