Applied Mathematics
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Follow on Instagram for UpdatesApplied Mathematics Syllabus — Unit-wise Content
The official GTU curriculum for Applied Mathematics (subject code C4320001) as prescribed for ETC · Semester 2 divides the course into 5 units, covering 25 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 (C4320001)Unit 1 Matrices
- 1.1. Concept of Matrix
- 1.2. Types of Matrices
- 1.3. Addition, Subtraction and multiplication by scalar of matrices
- 1.4. Product of two matrices
- 1.5. Adjoint and Inverse of a matrix of order 2X2 and 3X3.
- 1.6. Solution of Simultaneous linear equations of two variables. Applied Mathematics Course Code:4320001
Unit 2 Differentiati on and its Applications
- 2.1. Concept and Definition of Differentiation
- 2.2. Working rules : Sum, Product, Division
- 2.3. Chain Rule
- 2.4. Derivative of Implicit functions
- 2.5. Derivative of Parametric functions
- 2.6. Logarithmic Differentiation
- 2.7. Successive Differentiation up to second order
- 2.8. Applications: Velocity, Acceleration, Maxima & Minima of given simple functions.
Unit 3 Integration and its Applications
- 3.1. Concept and Definition of Integration.
- 3.2. Working rules and Integral of standard functions.
- 3.3. Method of substitution.
- 3.4. Integration by parts.
- 3.5. Definite Integral and its properties.
- 3.6. Applications: Area and volume. (Simple problems)
Unit 4 Differential Equations
- 4.1. Concept and Definition, Order and Degree of differential equation.
- 4.2. Solution of DE of first degree and first order by Variable Separable method.
- 4.3. Solution of linear Differential equation.
Unit 5 Statistics
- 5.1. Mean for ungrouped and grouped data.
- 5.2. Mean deviation and Standard deviation about Mean for ungrouped and grouped data. Applied Mathematics Course Code:4320001 Unit No. Unit Title Teaching Hours Distribution of Theory Marks R Level U Level A Level Total Marks II Differentiation and its Applications 10 4 6 6 16 III Integration and its Applications 10 4 4 6 14 IV Differential Equations 06 2 4 6 12 V Statistics 07 2 4 6 12 Total 42 16 24 30 70 Legends: R=Remember, U=Understand, A=Apply and above (Revised Bloom’s taxonomy) Note: This specification table provides general guidelines to assist student for their learning and to teachers to teach and question paper designers/setters to formulate test items/questions assess the attainment of the UOs. The actual distribution of marks at different taxonomy levels (of R, U and A) in the question paper may vary slightly from above table.
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