15SC01M: Engineering Mathematics-I Aero 1st Sem Syllabus for Diploma DTE Karnataka C15 Scheme

Engineering Mathematics-I detail DTE Kar Diploma syllabus for Aeronautical Engineering (AE), C15 scheme is extracted from DTE Karnataka official website and presented for diploma students. The course code (15SC01M), and for 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 aero 1st sem syllabus for diploma c15 scheme dte karnataka you can visit Aero 1st Sem Syllabus for Diploma C15 Scheme DTE Karnataka Subjects. The detail syllabus for engineering mathematics-i is as follows.

Pre-requisites:

Basics in Algebra, Trigonometry and Coordinate Geometry in Secondary Education.

Course Objectives:

1. Apply the concept of matrices and determinants and their applications to solve the linear equation in engineering field.
2. Apply the vector algebra in solving the problems of statics and mechanics.
3. Analyse the civil engineering problems using concepts of probability.
4. Evaluate the advanced engineering mathematical problems using logarithms.
5. Apply and evaluate trigonometric concept in vector engineering field.
6. Create the basic concept of calculus.

UNIT-1: MATRICES AND DETERMINANTS

For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.

UNITS-2: VECTORS

Definition of vector. Representation of vector as a directed line segment. Magnitude of a vector. Types of vectors. Position vector. Expression of vector by means of position vectors. Addition and subtraction of vectors in terms of line segment. Vector in plane and vector in a space in terms of unit vector i, j and k respectively. Product of vectors. Scalar product and vector product of two vectors. Geometrical meaning of scalar and vector product. Applications of dot (scalar) and cross (vector) products. Projection of a vector on another vector. Area of parallelogram and area of triangle. Work done by force and moment of force.

UNITS-3: PROBABILITY AND LOGARITHMS

1. Probability: Introduction. Random experiments: outcomes and sample space. Event: Definition, occurrence of an event, types of events. Algebra of events- complementary event, the events A or B, A and B, A but not B, mutually exclusive events, exhaustive events, defining probability of an event. Addition rule of probability. Conditional probability: definition, properties of conditional probability, simple problems. 06
2. Logarithms: Definition of common and natural logarithms. Laws of logarithms (no proof). Simple problems on laws of logarithms. 02

UNIT-4: ALLIED ANGLES AND COMPOUND ANGLES.

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UNIT-5:COMPLEX NUMBERS

Meaning of imaginary number i and its value. Definition of complex number in the form of a + ib. Argand diagram of complex numbera + ib (Cartesian system). Equality of complex numbers. Conjugate of complex number. Algebra of complex numbers, modulus of complex number, principal value of argument of complex number, polar form: Z = r(cos theta + i sin theta) and exponential form Z = re^ie of complex number, where r is modulus and theta is principal value of argument of complex number.

UNIT-6: INTRODUCTION TO CALCULUS

Limits: Constants and variables. Definition of function. Types of functions: Explicit and implicit function, odd and even functions(definition with example). Concept of x to a Definition of limit of a function. Indeterminate forms. Evaluation of limit of functions by factorization, rationalization. Algebraic limits. Follow the rest from the pdf file.

Course Outcomes:

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Reference Books:

1. NCERT Mathematics Text books of class XI and XII.
2. CBSE Class Xi & XII by Khattar&Khattar published PHI Learning Pvt. ltd.,
3. First and Second PUC mathematics Text Books of different authors.
4. www.freebookcentre.net/mathematics/introductory-mathematics -books.html

Model Question Paper:

Follow the text from pdf file.

For detail syllabus of all other subjects of BE Aero, C15 scheme do visit Aero 1st Sem syllabus for C15 scheme.

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