21ADM311

St Joseph Engineering College, Mangaluru
B. E. – COMMON TO ALL BRANCHES

Choice Based Credit System (CBCS) and Outcome Based Education (OBE)
SEMESTER –III
Additional Mathematics - I
(A Bridge course for Lateral Entry students of BE programmes)
(Common to all Programmes)
Course Code 21ADM311 CIE Marks 50
Teaching Hours/Week (L:T:P:S) (2:1:0:0) SEE Marks 50
Credits 00 Exam Hours 03
Course Learning Objectives:
1. To familiarize concepts of Mathematics required for engineering study
2. To equip the students with standard concepts and tools to solve problems in their
discipline of engineering.
Module-1
Complex Trigonometry: Complex Numbers, Definitions and properties. Modulus and
amplitude of a complex number, De Moivre’s Theorem, Argand diagram,
Vector Algebra: Scalars and vectors. Addition and subtraction and multiplication of vectors-
Dot and Cross products, problems.
8 Hours
Module-2
Trigonometry: Trigonometric ratios, quadrant rule, trigonometric ratios of standard angles,

compound angles, Sum and product formula and Hyperbolic functions
Partial fraction: Type 1- Denominator is a product of non repeated linear factors, Type 2 -
repeated linear factors and Type 3: Quadratic factors. 8 Hours
Module-3
Differentiation: Derivative of a function, Derivative of a composite function, Differentiation of
Implicit function, Differentiation of inverse trigonometric function, product formula, Quotient
formula, Chain rule, nth derivative, Leibnizs Rule, angle between radius vector and tangent (only
formula), angle between polar curves. 8 Hours
Module-4
Integration: Definition, standard formulae, Integration by substitution, , Integration by partial
fraction method, Integration by parts, Bernoulli's rule ,∫ e sin bx dx and ∫ e cos bx dx
ax ax
Definite Integrals and properties of definite integrals. Application- Definite integral as an area.
8 Hours
Module-5
Linear Algebra: Rank of matrices - Rank of a matrix by Echelon form, consistency of
system of linear equations - homogeneous and non-homogeneous equations, Gauss –
Elimination and Gauss - Seidel methods. Eigen values and Eigenvectors-properties,
largest Eigenvalue by Rayleigh’s power method. Diagonalization of a square matrix of
order two.
8 Hours
Course Outcomes:
At the end of the course the student will be able to:
21ADM311.1 Apply complex numbers and vectors in Engineering Applications
21ADM311.2 Apply trigonometry in real life applications

21ADM311.3 Resolve the Rational fraction into partial fractions.
21ADM311.4 Compute derivative of different functions
Compare and different methods integration and select appropriate method to solve
21ADM311.5
given problem
Analyze given problem and use appropriate method of solving given set of
21ADM311.6
equations
Question paper pattern:

Note: The SEE question paper will be set for 100 marks and the marks will be
proportionately reduced to 50
 The question paper will have Part A and Part B. Part A is Mandatory
 Part A has 10 short answer type questions of two mark each
 Part B has 10 Full questions. Each full question carries 16 marks.
 There will be 2 full questions (with a maximum of four sub questions) from each module.
 Each full question will have sub questions covering all the topics under a module.
Students will have to answer 5 full questions, selecting one full question from each
module.
Sl Name of the Name of the Edition and

Title of the Book
. Author/s Publisher Year
N
o.
Textbooks
1 Higher Engineering Dr B.S. Grewal Khanna 44th Edition, ISBN
Mathematics Publishers No.:978-81-
933284-9-1
2 NCERT Text Book for NCERT Reprint 2007
Mathematics I PUC and
II PUC
3 Higher Engineering H.K Dass and R C. Chand and First Edition 2011
Mathematics Verma Company
Reference Books
1 Advanced Engineering E. Kreyszig Wiley Precise ISBN No.: 978-81-
Mathematics – Volume John Wiley & Textbook Series 265-5120-0
I Sons
2 "Higher Engineering B.V.Ramana Tata McGraw- ISBN No.: 978-0-
Mathematics" 11th Edition Hill, 2010 07-063419-0
Course Articulation Matrix
Course Program Outcomes (POs)
Outcomes (COs)
PO1 PO2 PO PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
3
21ADM311.1 3 1
21ADM311.2 3 1
21ADM311.3 3 1
21ADM311.4 3 1
21ADM311.5 3 1
21ADM311.6 3 1
1: Low 2: Medium 3: High

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St Joseph Engineering College, Mangaluru

B. E. – COMMON TO ALL BRANCHES

Trigonometry: Trigonometric ratios, quadrant rule, trigonometric ratios of standard angles,

21ADM311.2 Apply trigonometry in real life applications

Question paper pattern:

Sl Name of the Name of the Edition and

1: Low 2: Medium 3: High

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