Applied Mathematics detailed Syllabus for Chemical Engineering (CH), K scheme PDF has been taken from the MSBTE official website and presented for the diploma students. For Subject Code, Subject Name, Lectures, Tutorial, Practical/Drawing, Credits, Theory (Max & Min) Marks, Practical (Max & Min) Marks, Total Marks, and other information, do visit full semester subjects post given below.
For all other MSBTE Chemical Engineering 2nd Sem K Scheme Syllabus PDF, do visit MSBTE Chemical Engineering 2nd Sem K Scheme Syllabus PDF Subjects. The detailed Syllabus for applied mathematics is as follows.
Rationale
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Course Outcomes:
Students will be able to achieve & demonstrate the following COs on completion of course based learning
- Solve the broad-based engineering problems of integration using suitable methods.
- Use definite integration to solve given engineering related problems.
- Apply the concept of differential equation to find the solutions of given engineering problems.
- Employ numerical methods to solve programme specific problems.
- Use probability distributions to solve elementary engineering problems.
Unit I
Indefinite Integration 1.1 Simple Integration: Rules of integration and integration of standard functions 1.2 Integration by substitution. 1.3 Integration by parts. 1.4 Integration by partial fractions (only linear non repeated factors at denominator of proper fraction).
Suggested Learning Pedagogy
Improved Lecture Demonstration Chalk-Board Presentations Video Demonstrations
Unit II
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Unit III
Differential Equation 3.1 Concept of Differential Equation. 3.2 Order, degree and formation of Differential equations 3.3 Methods of solving differential equations: Variable separable form, Exact Differential Equation, Linear Differential Equation.
Suggested Learning Pedagogy
Video Demonstrations Presentations Chalk-Board Improved Lecture Flipped Classroom
Unit IV
Numerical Methods 4.1 Solution of algebraic equations: Bisection method, Regula falsi method and Newton -Raphson method. 4.2 Solution of simultaneous equations containing three Unknowns by iterative methods: Gauss Seidal and Jacobi’s method. 4.3 Bakhshali iterative method for finding approximate square root. (IKS)
Suggested Learning Pedagogy
Video SCILAB Spreadsheet Chalk-Board Flipped Classroom Presentations
Unit V
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Practical / Tutorial Experiences
- Integration by substitution
- Integration by parts
- Integration by partial fractions.
- Definite Integral based on given methods.
- Properties of definite integral
- Area under the curve and volume of revolution.(Only for Civil and Mechanical Engineering Group)
- Mean value and root mean square value. (Only for Computer, Electrical and Electronics Engineering Group)
- Order, degree and formation of differential equation.
- Variable separable method.
- Exact differential equation and linear differential equation.
- Applications of differential equations.(Take programme specific problems)
- Bisection method and Regula falsi method.
- Newton- Raphson method.
- Jacobi’s method and Gauss Seidal Method.
- Bakhshali iterative methods for finding approximate value of square root. (IKS)
- Binomial Distribution
- Poisson Distribution
- Normal Distribution
- Laplace transform and properties of Laplace transform.(Only for Electrical and Electronics Engineering Group)
- Inverse Laplace transform and properties of Inverse Laplace transform.(Only for Electrical and Electronics Engineering Group)
Laboratory Equipment/Software Required
- Open-source software like wolfram alpha, SageMaths, MATHS3D, GeoGebra, Graph, DPLOT, and Graphing Calculator (Graph Eq2.13), ORANGE can be used for Algebra, Calculus, Trigonometry and Statistics respectively. All
Suggested Learning Materials
For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier..
Learning Websites & Portals
- http://nptel.ac.in/courses/106102064/1 Online Learning Initiatives by IITs and IISc
- https://www.khanacademy.org/math? gclid=CNqHuabCys4CFdOJaddHo Pig Concept of Mathematics through video lectures and notes
- https://www.wolframalpha.com/ Solving mathematical problems, performing calculations, and visualizing mathematical concepts.
- http://www.sosmath.com/ Free resources and tutorials
- http://mathworld.wolfram.com/ Extensive math encyclopedia with detailed explanations of mathematical concepts
- https://www.mathsisfun.com/ Explanations and interactive lessons covering various math topics, from basic arithmetic to advanced
- http://tutorial.math.lamar.edu/ Comprehensive set of notes and tutorials covering a wide range of mathematics topics.
- https://www.purplemath.com/ Purplemath is a great resource for students seeking help with algebra and other foundational mathematics to improve learning.
- https://www.brilliant.org/ Interactive learning in Mathematics
- https://www.edx.org/ Offers a variety of courses
- https://www.coursera.org/ Coursera offers online courses in applied mathematics from universities and institutions around the globe.
- https://ocw.mit.edu/index.htm The Massachusetts Institute of Technology (MIT) offers free access to course materials for a wide range of mathematical courses.
For detail Syllabus of all other subjects of Chemical Engineering, K scheme do visit Chemical Engineering 2nd Sem Syllabus for K scheme.
For all Chemical Engineering results, visit MSBTE Chemical Engineering all semester results direct links.