1.
SYLLABUS
Bridge Course in Mathematics (BC-102(N2))
Max. Marks 100
Internal Assessment 40
External Assessment 60
Instruction for paper setter
The question paper will consist of two sections A and B. Sections B will have Six
questions and will carry 10 marks each. Section A will have 10 short answer type
questions, which will cover the entire syllabus uniformly and will carry 20 marks
in all.
Instructions for Candidates
Candidates are required to attempt four questions from section B and the entire
section A.
Use of non-programmable scientific calculator is allowed.
Set relations and functions: elements of a set, methods of describing a set, types
of set, Venn diagram, operations on sets, union, intersection and difference of
set, Duality, partioning of a set, trigonometric functions.
Binomial theorem and principle of mathematics induction
Introduction to matrix, properties of matrix; evaluation of determinant, minor and
cofactors and properties of determinant
Statistics: introduction to statistics, collection, and tabulation of data, mean,
median and mode.
Reference:
Refresher Course On Mathematics Vol: 2--- Manjit Singh
ABC Of Mathematics J.P Mahendru
Note: This course is compulsory for all the students.
2.
COURSE MODULE
COURSE NAME: BRIDGE COURSE IN MATHEMATICS
CLASS : BCA-I
COURSE CODE : BC-102
COURSE INSTRUCTOR: Mr. SWAPAN CHANANA,
Mr. RAHUL ARORA
Ms Prabhjot
COURSE OBJECTIVES:
‘Bridge Course in Mathematics’ is a course which is especially incorporated
with a view to create a bridge between the elementary mathematics that you
have studied till 10th standard, and all that you will require for computer
courses that you will study in BCA.
‘Statistics’ is a very important branch of mathematics which is closely
connected with the industry. Mean, Median, Mode & other measures of
Central Tendency are basic to the processing of any kind of data, to convert it
into useful information which is of strategic importance to any company or
business house.
This course will teach you the fundamentals that are essential for other courses
like Digital Circuit & Logic Design (Logic Gates, Functions & Relations),
Computer Oriented Mathematics & Computer System Architecture (Binary
Number System, Boolean Algebra).
So, ‘Bridge Course in Mathematics’ is your first step to becoming Computer
Professionals.
PRESENTATION:
There will be one presentation for the subject. The students will be divided into
different groups. Each group will work upon a topic and present it. The schedule
of the same will be intimated to you.
DISTRIBUTION OF MARKS:
Bridge Course in Mathematics carries 100 marks. Out of these, the students will
be tested externally for 60 marks, and internally for 40 marks.
The external exam will carry 60 marks, which will be in December.
The internal exam (MST - Mid Semester Test) will be in October.
The division of 40 marks for the internal assessment is as follows :
3.
MST - 15 marks
Presentation - 10 marks
Assignments - 5 marks
Class Tests - 10 marks
PUNJAB COLLEGE OF TECHNICAL EDUCATION
(PCTE)
COURSE PLAN Aug-Dec, 2010
SUB NAME : BRIDGE COURSE IN MATHS SUB CODE : BC – 102
SUB TEACHERS : Mr. SWAPAN No. of lectures : 54
CHANANA
Mr.RAHUL ARORA
No. of Tests : 2 No. of Assignments : 2
Lecture Topics Assign Test
Number
1 Chapter: Matrix Algebra •
• Introduction & definition of
matrices
• Types of Matrices
2 Matrix Operations
• Addition
• Difference
• Multiplication
3 • Positive Integral powers of matrices
• Problems on multiplication of
matrices
4 Determinants •
• Transpose, Symmetric and skew
symmetric matrices
• Determinants of a square matrix
5 • Minors and Cofactors
• Sarus Rule
• Problems on Sarus Rule
6 • Tutorial
7-8 • Cramers Rule
8-11 • Properties of Determinants
• Related Problems
12-13 • Related Problems contd…
14-15 Chapter: Binomial Theorem
• Introduction
• Pascal’s Triangle
• Binomial Theorem
4.
16-18 • General Term
• Middle Terms
• Related Problems
19-20 • Particular Terms
• Examples
21-22 • Properties of Binomial Coefficients
23 • Binomial Theorem for any Index
24 • Related Problems
25 • Applications of Binomial Theorem
26-27 Chapter: Sets, Relations and Functions •
• Introduction
• Definition of a set
• Representation of a set
• Types of sets
28-30 Venn Diagrams
• Introduction
• Operations on Sets
Union
Intersection
Disjoint
Difference
31 Statement problems
32 Laws of Algebra of Sets
• DeMorgan’s Laws
• Related Proofs
33-34 • De-Morgan’s Law of Difference of
Sets
35 Duality
• Related Problems
Relations
• Ordered Pairs
• Cartesian Product of Sets
36 • Definition of a Relation
• Types of Relations
37-38 • Domain & Range
39 Functions or Mappings
• Definition
• Types of Functions
40 • Composite Functions
• Problems
41 • Functions Contd…
5.
42 Chapter: Mathematical Induction •
• Introduction
• Statements
• Mathematical Statements
• Examples
43 Principle of Mathematical Induction
• Series Problems
44 • Problems involving inequalities
45 • Exponential Problems
46 • Statement Problems
47 Chapter: Trigonometric Functions
• Introduction
• T-Ratios or Functions
48-50 • T-Identities
51 • Problems Based on T-Identities
52-53 • Proving results involving T-Ratios
54 • Signs of T-Ratios
• Values of T-Ratios
• Related Problems
55 • T-Ratios of Allied Angles
56 • T-Ratios of Sum or Difference of 2
angles
• Examples
57-58 Chapter: Statistics
• Introduction
• Definition of Statistics
• Statistical Methods
• Collection of Data
• Tabulation of data : Frequency
Distributions
59 Measures of Central Tendency
• Introduction
Arithmetic Mean
Individual Observations
Discrete Frequency
Distribution
Continuous Frequency
Distribution
60 • Properties of Arithmetic Mean
• Related Examples
• Merits and Demerits
6.
48 • Tutorial
49 Median
• Individual Series
• Discrete Frequency Distribution
• Continuous Frequency Distribution
50 • Related Problems
• Mathematical Property of Median
• Merits and Demerits of median
51 Mode
• Individual Series
• Discrete Series
• Grouping Method
• Continuous Series
52 • Mode greater than the Upper Limit
of Modal Class
• Bi-Modal Distribution
• Mode less than the Lower Limit of
Modal Class
• Merits and Demerits
53 Revision of Syllabus
54 Full Test
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