Applied Mathematics – I detail BTEUP syllabus for Computer Science And Engineering, effective from 2019-2020, is collected from BTEUP 2017 Syllabus official website and presented for diploma students. PDF download is possible from official site but you can download the istudy mobile app for syllabus on mobile. The course details such as exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.
For all other bteup syllabus 1st sem computer science 2019-2020 you can visit BTEUP Syllabus 1st Sem Computer Science 2019-2020 Subjects. The detail syllabus for applied mathematics – i is as follows.
Rationale:
Contents of this course provide fundamental base for understanding elementary mathematics and their uses in solving engineering problems. Contents of this course will enable students to use basic mathematical function like logarithms, partial fractions, matrices and basic 2D, curves in solving various engineering problems of all fields.
Learning Outcomes:
After undergoing this course, the students will be able to:
- Apply Binomial theorem to solve engineering problems
- Apply determinants properties and Crammer’s rule to solve engineering problems
- Apply dot & cross product of vectors to find the solution of engineering problems
- Use complex numbers in various engineering problems
- Apply differential calculus and higher order to solve engineering problems
- Find velocity, acceleration, errors and approximation in engineering problems with application of derivatives.
1. Algebra -I (12 Periods)
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2. Algebra- II (12 Periods)
- Vector algebra : Dot and Cross product, Scaler and vector triple product.
- Complex number.
Complex numbers, Representation, Modulus and amplitude Demoivre theorem, its application in solving algebraic equations, Mod. function and its properties.
3. Trigonometry (10 Periods )
- Relation between sides and angles of a triangle : Statement of various formulae showing relationship between sides and angle of a triangle.
- Inverse circular functions: Simple case only
4. Differential Calculus – I (18 Periods)
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5. Differential Calculus – II (18 Periods)
- Higher order derivatives, Leibnitz theorem (without proof). Simple applications.
- Application – Finding Tangents, Normal, Points of Maxima/Minima, Increasing/Decreasing functions, Rate, Measure, velocity, Acceleration, Errors and approximation.
Instructional Strategy:
The basic strategy to teach basic mathematics, Binomial theorem, trigonometry, differential equations etc. should be conceptual with real world applications of relevant branch. More numerical and theory examples can be used for clear understanding of the content.
Means of Assessment:
For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. It’s a lightweight, easy to use, no images, no pdfs platform to make students life easier.
Text Books:
- Elementary Engineering Mathematics by BS Grewal, Khanna Publishers, New Delhi
- Engineering Mathematics, Vol I & II by SS Sastry, Prentice Hall of India Pvt. Ltd.,
- Applied Mathematics-I by Chauhan and Chauhan, Krishna Publications, Meerut.
- Applied Mathematics-I (A) by Kailash Sinha and Varun Kumar; Aarti Publication, Meerut
For detail syllabus of all other subjects of BE Computer Science, effective from 2019-2020 do visit Computer Science 1st Sem BTEUP syllabus for 2019-2020.
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