7th EDITION YEAR 2021-22
ISBN SYLLABUS COVERED
"978-93-5550-469-2"
DEPARTMENT OF PRE UNIVERSITY DEPARTMENT, KARNATAKA
PUBLISHED BY OSWAAL BOOKS & LEARNING PVT. LTD.
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( iv )
CONTENTS
l Syllabus & Blueprint vii l II PUC Solved Paper 2020 with Scheme of Valuation xxvi l II PUC Toppers’ Answers 2019 3 l II PUC Solved Paper 2019 with Scheme of Valuation 28 l II PUC Model Paper –1 (Issued by PUE Board in Sep. 2018) 66 l II PUC Model Paper –2 (Issued by PUE Board in Sep. 2018) 78 l II PUC Model Paper –3 (Issued by PUE Board in Sep. 2018) 90 l Toppers’ Answers, March-2018 104 l Solved Paper –July 2017 129 q On Tips Notes q Sample Question Papers (Solved)
1 - 32
Sample Question Paper - 1 (Examination Paper, March 2017) with Scheme of Valuation 2017 Sample Question Paper - 2 (Examination Paper, March 2016) with Toppers’ Answers Sample Question Paper - 3 (Issued by Department of PUE Karnataka) Sample Question Paper - 4 (Issued by Department of PUE Karnataka) Sample Question Paper - 5 (Issued by Department of PUE Karnataka)
q Sample Question Papers (Self Assessment) Sample Question Paper - 6 Sample Question Paper - 7 Sample Question Paper - 8 Sample Question Paper - 9 Sample Question Paper - 10
33 - 54 55 - 80 81 - 84 85 - 87 88 - 91 92 - 95 96 - 99 100 - 102 103 - 106 107 - 110
q Solutions
Sample Question Paper - 3 Sample Question Paper - 4 Sample Question Paper - 5
111 - 122 123 - 132 133 - 144
For Solved Paper Physics
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(v)
( vi )
( vii )
06-May-18 7-May-18
08-May-18
9-May-18 10-May-18
11-May-18
12-May-18 13-May-18 14-May-18
DAY 7
DAY 8 DAY 9
DAY 10
DAY 11 DAY 12 DAY 13
04-May-18
DAY 3
DAY 5 DAY 6
3-May-18
DAY 2
5-May-18
DATE 02-May-18
DAY DAY 1
DAY 4
Column2 CLASS II PUC
Column1 SUBJECT MATHEMATICS
SATURDAY SUNDAY MONDAY
FRIDAY
WEDNESDAY THURSDAY
TUESDAY
SUNDAY MONDAY
SATURDAY
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THURSDAY
DAY WEDNESDAY
Column3 CODE 35
Column42
Composite functions definition gof, fog and properties Invertible functions definition and properties
Functions definitions and types of functions one-one, on-to, in-to, many-one and bijective functions along with number of examples and digramatic representation
CHAPTER 1 : RELATIONS AND FUNCTIONS : Recapitulation of I PU Sets Relations and Functions Types of Relations Definitions along with examples Reflexive, Symmetric, Transitive and Equivalence Relations Definitions along with examples
Problems on invertible functions carrying 5 marks.
Problems on types of relations carrying 1, 2 and 3 marks.
Problems on Equivalence relations and others carrying 1, 2 and 3 marks.
PUC (4 THEORY + 2 PROBLEM PROBLEM CLASSES/ CLASSES A WEEK) PRACTICE SESSIONS
Column4 DEPARTMENT OF P U EDUCATION
Column5 ACADEMIC PROGRAM
(Issued by Department of PUE, Karnataka) BLOW UP SYLLABUS II PUC MATHEMATICS - Code No. 35
Latest Syllabus
Column6
( viii )
15-May-18
16-May-18
17-May-18
18-May-18
19-May-18
20-May-18 21-May-18
22-May-18
23-May-18
24-May-18
25-May-18
26-May-18
27-May-18 28-May-18
29-May-18
30-May-18
DAY 14
DAY 15
DAY 16
DAY 17
DAY 18
DAY 19 DAY 20
DAY 21
DAY 22
DAY 23
DAY 24
DAY 25
DAY 26 DAY 27
DAY 28
DAY 29
WEDNESDAY
TUESDAY
SUNDAY MONDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
SUNDAY MONDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
Properties of addition and multiplication of matrices
Types of matrices, operation on matrices Addition and Subtraction Multiplication of matrices
CHAPTER 3 : MATRICES : Introduction and definition a brief biographical information may be given about the mathematicians like Cayley, J J Sylvester, Hamilton and others may be given
± Standard results like tan–1(x) tan–1(y)=tan–1 (x ± y/1 – xy) and others Solving inverse trigonometric equations involving tan–1, sin–1 and cos–1.
CHAPTER 2 : INVERSE TRIGONOMETRIC FUNCTIONS : recapitulation of range and domain of trigonometric functions. Inverse Trigonometric functions definition range and domain of inverse trigonometric functions with their graphs Properties of inverse trigonometric functions like sin-1(x)+ cos–1(x) = p/2 and sin–1 (1/x) = cosec–1 (1/x) and others—
Binary operation definition and properties like commutative, associative, identity and inverse
Harder types of problems on expressing inverse trigonometric functions into simplest form Miscellaneous problems on Inverse trigonometric functions
Problems on principal value and properties carrying 1, 2 and 3 marks
Problems on binary operation carrying 1, 2, and 3 marks.
DAY 36
DAY 35
DAY 34
DAY 33
DAY 32
DAY 31
DAY 30
6-Jun-18
05-Jun-18
4-Jun-18
03-Jun-18
2-Jun-18
01-Jun-18
31-May-18
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
FRIDAY
07-Jun-18
8-Jun-18
DAY 37
DAY 38
SUNDAY
SATURDAY
10-Jun-18
MONDAY
09-Jun-18
DAY 40 11-Jun-18
DAY 39
DAY 41
TUESDAY WEDNESDAY
12-Jun-18 13-Jun-18
DAY 42 DAY 43
Invertible matrix and finding inverse by elementary row and column operations Symmetric and Skew symmetric matricesdefinition, theorems and related problems carrying 1, 2 and 3 marks CHAPTER-4 : DETERMINANTS : Definition of 2nd and 3rd order determinant and some simple problems to understand the definition Verification of the properties of determinants for third order determinant-first 4 Verification of the properties of determinants for third order determinant - 5 and 6 and simple problems to illustrate the properties
Applications of determinants: Area of triangle and finding the equation of the line passing through two points and related problems (carrying 2 marks) Minors and cofactors, adjoint of a matrix and verification of A.adj A = adj A.A = |A| for both 2×2 and 3×3 matrices Theorems on inverse of a square matrix - 1, 2 and 3 statement only, Theorem-4 statement and proof
Problems on order of a matrix, operations on matrices and types of matrices carrying 1, 2 and 3 marks Problems carrying 5 marks on algebra of matrices
problems on properties of determinants carrying 1, 2 and 4 marks
Problems on finding the inverse, |adjA|, |A-1| carrying 1, 2 and 3 marks
( ix )
(x)
27-Jun-18
28-Jun-18
29-Jun-18
DAY 57
DAY 58
DAY 59
22-Jun-18
DAY 52
26-Jun-18
21-Jun-18
DAY 51
DAY 56
20-Jun-18
DAY 50
25-Jun-18
19-Jun-18
DAY 49
24-Jun-18
18-Jun-18
DAY 48
DAY 55
17-Jun-18
DAY 47
DAY 54
16-Jun-18
DAY 46
23-Jun-18
15-Jun-18
DAY 45
DAY 53
14-Jun-18
DAY 44
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
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THURSDAY
Differentiability : Definition and theorem on differentiability statement and proof
Continuity of greatest integer function, signum function, modulus function along with graph Algebra of continuous functions and continuity of composite functions
CHAPTER-5 : CONTINUITY AND DIFFERENTIABILITY : Recapitulation of limit of a function along with some simple problems Continuity : Definitions (at a point, in an interval and in the domain of a function) along with graphical representation of continuity of a function
RAMZAN
Solving the system of linear equations by matrix method in two and three unknowns, by checking the consistancy.
Problems on Algebra of continuous functions and continuity of composite functions carrying 1, 2 and 3 marks Problems on continuity of a function carrying 4 marks
Problems on proving continuity of split functions, an algebraic function, trigonometric functions
Problems on properties of determinants harder cases Miscellaneous exercise problems Miscellaneous exercise problems
Problems on matrix method carrying 5 marks along with word problems
( xi )
14-Jul-18
15-Jul-18
DAY 75
09-Jul-18
DAY 69
DAY 74
8-Jul-18
DAY 68
13-Jul-18
07-Jul-18
DAY 67
DAY 73
6-Jul-18
DAY 66
12-Jul-18
05-Jul-18
DAY 65
DAY 72
4-Jul-18
DAY 64
11-Jul-18
03-Jul-18
DAY 63
DAY 71
2-Jul-18
DAY 62
10-Jul-18
01-Jul-18
DAY 61
DAY 70
30-Jun-18
DAY 60
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
CHAPTER-6 : APPLICATION DERIVATIVES : Introduction derivative as a rate measure recapitulation of areas and volumes 3-D figures
OF and and 2-D,
Rolles theorem and Mean value theorem statement, geometrical interpretation and problems
Derivative of implicit functions and related problems Derivative of inverse trigonometric functions and related problems Derivative of parametric functions and related problems Exponential and Logarithnic functions domain, range and their graphs, Laws of Logarithms Logarithmic differentiation and related problems Second order derivatives introduction and simple problems
Derivative of composite functions by chain rule and related problems
Cone problem, ladder problem, shadow problem and other problems relate to rate measure carrying 5 marks
Derivative of a determinant, proving sin (x + y) using derivatives Miscellaneous exercise problems on continuity differentiation
Standard problems and harder cases on second order derivatives carrying 5 marks
( xii )
30-Jul-18
31-Jul-18
1-Aug-18
02-Aug-18
DAY 91
DAY 92
DAY 93
25-Jul-18
DAY 85
DAY 90
24-Jul-18
DAY 84
29-Jul-18
23-Jul-18
DAY 83
DAY 89
22-Jul-18
DAY 82
28-Jul-18
21-Jul-18
DAY 81
DAY 88
20-Jul-18
DAY 80
27-Jul-18
19-Jul-18
DAY 79
DAY 87
18-Jul-18
DAY 78
26-Jul-18
17-Jul-18
DAY 77
DAY 86
16-Jul-18
DAY 76
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
Methods of Integration : Substitution, Using trigonometric identities
Comparision of Integration and differentiation and some problems carrying 1 and 2 marks
Tangents and Normals, Angle between the curves and related problems Errors and Approximations and problems carrying 2 and 3 marks Maxima and Minima introduction and problems carrying 2 and 3 marks Global maximum and Global minimum and problems carrying 2 and 3 marks CHAPTER-7 : INTEGRALS : Integration is the Inverse process of differentiation, arbitrary constant, symbol and integral constant List of standard integrals, properties of indefinite integrals and geometrical interpretation of integrals
1st test
1st test
1st test
Increasing and Decreasing functions : definitions and illustrations along with graphical representations Theorem on Increasing and Decreasing functions statement and proof
Problems on substitution carrying 1, 2 and 3 marks
Problems on standard integrals carrying 1, 2 and 3 marks
Varieties of problems on Increasing and Decreasing functions carrying 2 and 3 marks 1 TEST
( xiii )
3-Aug-18
04-Aug-18
5-Aug-18
06-Aug-18
7-Aug-18
08-Aug-18
9-Aug-18
10-Aug-18
11-Aug-18
12-Aug-18
13-Aug-18
14-Aug-18
15-Aug-18
16-Aug-18
17-Aug-18
18-Aug-18
19-Aug-18
20-Aug-18
DAY 94
DAY 95
DAY 96
DAY 97
DAY 98
DAY 99
DAY 100
DAY 101
DAY 102
DAY 103
DAY 104
DAY 105
DAY 106
DAY 107
DAY 108
DAY 109
DAY 110
DAY 111
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
Properties of definite Integals : P0, P1, P2, P3 statement and proof P4, P5, P6, P7 statement and proof
Integrals of the form ex [f(x) + f1(x)] and relate problems, Definite integrals as limit of sum and related problems Definite integrals : Definition and related problems to illustrate this INDEPENDENCE DAY
Integration by partial fractions and related problems carrying 2 and 3 marks Integration by parts and three standard derivations
Integration by completing squares and integrals of the form Px + Q/ax2 + bx + c or square root of ax2 + bx + c
Integration by using standard substitutions all the six derivations
Miscellaneous exercise problems on chapter-7 carrying 1, 2, 3 and 6 marks
Problems on properties of carrying 2, 3 and 6 marks
Problems on integration by parts and standard derivations involving the proof of the derivations, carrying 5 marks
Problems on the two methods carrying 2 and 3 marks
Problems on standard substitutions involving the proof of the derivations, carrying 5 marks
Problems on trigonometric identities carrying 1, 2 and 3 marks
( xiv )
21-Aug-18
22-Aug-18
23-Aug-18
24-Aug-18
25-Aug-18
26-Aug-18
27-Aug-18
28-Aug-18
29-Aug-18
30-Aug-18
31-Aug-18
01-Sep-18
2-Sep-18
03-Sep-18
4-Sep-18
DAY 112
DAY 113
DAY 114
DAY 115
DAY 116
DAY 117
DAY 118
DAY 119
DAY 120
DAY 121
DAY 122
DAY 123
DAY 124
DAY 125
DAY 126
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
Formation of a differential Equation : i) when the solution is given ii) Word problems, carrying 2 and 3 marks Methods of solving a differential equation : First order, first Degree : variable seperable form carrying 3 and 5 marks
CHAPTER-9 : DIFFERENTIAL EQUATIONS : Introduction, Definition, Basic concepts, Types of differential equations, Order and Degree of a differential equation and related problems carrying 1, 2 and 3 marks Solution of a differential equation : General and particular solution and problems on verifying the solution of the differential equation carrying 1 and 2 marks
Area between two curves iii) circle and a circle carrying 5 marks Area of a triangle carrying 5 marks
Area bounded i) by a curve and a line and related problems carrying 3 and 5 marks Area bounded by ii) a circle iii) an ellipse, Area between two curves i) parabola and a parabola carrying 5 marks Area between two curves ii) circle and a parabola carrying 5 marks
CHAPTER-8: APPLICATION ON INTEGRATION : Fundamental theorems of Calculus 1 and 2 statement only and definite integral as area under the curve introduction and problems to illustrate this BAKRID
Miscellaneous exercise problems carrying 3 and 5 marks Problems involving inequalities carrying 5 marks
( xv )
12-Sep-18
13-Sep-18
14-Sep-18
15-Sep-18
16-Sep-18
17-Sep-18
18-Sep-18
19-Sep-18
20-Sep-18
21-Sep-18
22-Sep-18
23-Sep-18
24-Sep-18
DAY 134
DAY 135
DAY 136
DAY 137
DAY 138
DAY 139
DAY 140
DAY 141
DAY 142
DAY 143
DAY 144
DAY 145
DAY 146
09-Sep-18
DAY 131
11-Sep-18
8-Sep-18
DAY 130
DAY 133
07-Sep-18
DAY 129
10-Sep-18
6-Sep-18
DAY 128
DAY 132
05-Sep-18
DAY 127
MONDAY
SUNDAY
SATURDAY
FRIDAY
THURSDAY
WEDNESDAY
TUESDAY
MONDAY
SUNDAY
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LAST DAY OF MOHARRUM
MID TERM EXAMINATION
MID TERM EXAMINATION
MID TERM EXAMINATION
MID TERM EXAMINATION
MID TERM EXAMINATION
MID TERM EXAMINATION
GANESH CHATURTHI
MID TERM EXAMINATION
MID TERM EXAMINATION
MID TERM EXAMINATION
Linear differential equations : (i) dy/dx + Py = Q (ii) dx/dy + P1 = Q1, finding the integrating factor and solution; Finding the general and particular solution of linear differential equations (in two forms) carrying 5 marks
Homegeneous differential equations : Definition, problems on solution of homegeneous differential equations (in two forms) carrying 3 marks
Word problems, miscellaneous exercise problems on LDE
Word problems, miscellaneous exercise problems on LDE
Finding the general and particular solution of homogeneous differential equations (in two forms)
Harder cases of finding the general and particular solution of first order, first degree differential equations in variable seperable form
MID TERM