KENDRIYA VIDYALAYA SANGATHAN
ZONAL INSTITUTE OF EDUCATION AND TRAINING MYSURU
पाठ्यक्रम निदे शक / COURSE DIRECTOR
सश्र
ु ी मीनाक्षी जैन/Ms. MENAXI JAIN
(
के. वि. संगठि,शशक्षा एिं प्रशशक्षण का आंचशिक संस्थाि, मैसरू
ू
Deputy Commissioner & Director
KVS Zonal Institute of Education and Training, Mysore
ASSOCIATE COURSE DIRECTOR
Mr. AGIMON A CHELLAMCOTT
Principal, KV Idukki, Ernakulam Region
RESOURCE PERSONS
1. Mr. R S N ACHARYULU, PGT(Maths),
MALKAPURAM, HYDERABAD REGION
2. Mr. EVLN VAMSI KRISHNA, PGT(Maths),
TIRUPATI No.1, HYDERABAD REGION
Co-ordinated by: Mr. D SREENIVASULU,
Training Associate (Mathematics), ZIET MYSURU
,DIRECTOR’S MESSAGE……
It is with profound delight and utmost pride that I announce the publication of our study
material of CLASS XII (APPLIED MATHEMATICS) for the session 2023-24. It’s my
firm belief that access to quality education should know no boundaries, transcending
social and economic constraints. Our collective vision is to empower all students with the
tools for success and intellectual growth.
With their steadfast dedication PGT-MATHEMATICS of Bangalore, Chennai,
Ernakulam & Hyderabad regions of Kendriya Vidyalaya Sangathan have invested their
knowledge, expertise, and passion into meticulously crafting these study materials to
complement the classroom learning experience of the students. These materials serve as
invaluable aids for self-study since they are comprehensive, well-structured, and
presented in a manner that is easy to comprehend.
It is with pleasure that I place on record my commendation for the commitment and
dedication of the team of teachers which included Mr. D. SREENIVASULU, Training
Associate (MATHEMATICS) from ZIET Mysore who has been the Coordinator of this
assignment and all the concerned PGT- Mathematics subject experts from the four feeder
regions of ZIET Mysore.
Wishing you all the very best in your academic journey!
MENAXI JAIN
DIRECTOR
ZIET MYSORE
i
, CONTENT DEVELOPMENT TEAM
ERNAKULAM REGION
S NO Name of Staff (Mr./Mrs./Ms.) DESIGNATION NAME OF THE KV
1 MRS.SABITHA A K PGT (Maths) K V PAYYANUR
2 MR. SREEJITH S PGT (Maths) K V NO.I CALICUT
3 MRS. SINIMOL K P PGT (Maths) K V NO.1 PALAKKAD
4 MRS. SREELEKHA S KUMAR PGT (Maths) K V ERNAKULAM
5 MRS. SARITHA P PGT (Maths) K V RB KOTTAYAM
6 MRS. S. SHIBI PGT (Maths) K V PATTOM (SHIFT I )
7 MRS. LETHA K NAIR PGT (Maths) K V AFS AKKULAM
BENGALURU REGION
S.NO NAME OF THE TEACHER DESIGNATION NAME OF THE KV
1 MRS LETHA KUMARI PGT(MATHS) ASC BANGALORE
2 DR. SREEDHAR M PGT(MATHS) BELLARY
3 MR. KALAGATOORI BALAJI PGT(MATHS) DONIMALAI
4 MR. MORDHWAJ PGT MATHS HASSAN
5 MR. SURESH LENDE PGT MATHS NO II HUBLI
6 MRS.SOLLY P.J PGT MATHS KV 2, JALAHALLI
7 MR. BANSHI LAL PATEL PGT MATHS NO. 3, BELAGAVI
HYDERABAD REGION
S. No. Name of the Participant Designation Name of KV
1 MR.P SRINIVAS PGT (Maths) KANCHANBAGH
2 MR. M. SIMHACHALAM PGT (Maths) N02, NAUSENABAGH
3 MR. K. RAMA KRISHNA PGT (Maths) VIZIANAGARAM
4 MRS. JESSIAMMA THOMAS PGT (Maths) VENKATAGIRI
5 MR. GOLI RAGHUVARA PRASAD RAO PGT (Maths) N01, NAUSENABAGH
6 MR. M . SREENIVASA RAO PGT (Maths) ONGOLE
7 MR. NAVULURI BRAHMAIAH PGT (Maths) NTPC RAMAGUNDAM
CHENNAI REGION
Sl. No. Name of Participant Designation Name of KV
1 MR.S.RAMASAMY PGT (Maths) DGQA CHENNAI
2 MR.A.PERIYASAMY PGT (Maths) NO.1 TAMBARAM
3 MR.J.G BABU PGT (Maths) DHARMAPURI
4 MR.KASI VISWANADH CH PGT (Maths) MANDAPAM
5 MRS.R. ANKAYARKANNI PGT (Maths) PONDICHERY NO.1 (SHIFT - I)
6 MRS.ANJANA SIVAPRAKASH PGT (Maths) ANNA NAGAR
7 MR.SHIV RAM KUMAR PGT (Maths) PORT BLAIR NO.1
ii
, INDEX
S.NO CHAPTER/UNIT Page Numbers
1 CURRICULAM 1-8
2 1 -NUMBERS, QUANTIFICATION AND NUMERICAL 9 - 31
APPLICATIONS
3 2 -ALGEBRA(MATRICES AND DETERMINANTS) 32 - 54
4 3A - DIFFERENTIATION AND ITS APPLICATIONS 55 - 92
5 3B - INTEGRATION AND ITS APPLICATIONS 93 - 112
6 3C - DIFFERENTIAL EQUATIONS AND MODELING 113 - 131
7 4 - PROBABILITY DISTRIBUTIONS 132 - 156
8 5 - INFERENTIAL STATISTICS 157 - 185
9 6 - INDEX NUMBERS AND TIME-BASED DATA 186 - 207
10 7 - FINANCIAL MATHEMATICS 208 - 231
11 8 - LINEAR PROGRAMMING 232 - 272
iii
ZONAL INSTITUTE OF EDUCATION AND TRAINING MYSURU
पाठ्यक्रम निदे शक / COURSE DIRECTOR
सश्र
ु ी मीनाक्षी जैन/Ms. MENAXI JAIN
(
के. वि. संगठि,शशक्षा एिं प्रशशक्षण का आंचशिक संस्थाि, मैसरू
ू
Deputy Commissioner & Director
KVS Zonal Institute of Education and Training, Mysore
ASSOCIATE COURSE DIRECTOR
Mr. AGIMON A CHELLAMCOTT
Principal, KV Idukki, Ernakulam Region
RESOURCE PERSONS
1. Mr. R S N ACHARYULU, PGT(Maths),
MALKAPURAM, HYDERABAD REGION
2. Mr. EVLN VAMSI KRISHNA, PGT(Maths),
TIRUPATI No.1, HYDERABAD REGION
Co-ordinated by: Mr. D SREENIVASULU,
Training Associate (Mathematics), ZIET MYSURU
,DIRECTOR’S MESSAGE……
It is with profound delight and utmost pride that I announce the publication of our study
material of CLASS XII (APPLIED MATHEMATICS) for the session 2023-24. It’s my
firm belief that access to quality education should know no boundaries, transcending
social and economic constraints. Our collective vision is to empower all students with the
tools for success and intellectual growth.
With their steadfast dedication PGT-MATHEMATICS of Bangalore, Chennai,
Ernakulam & Hyderabad regions of Kendriya Vidyalaya Sangathan have invested their
knowledge, expertise, and passion into meticulously crafting these study materials to
complement the classroom learning experience of the students. These materials serve as
invaluable aids for self-study since they are comprehensive, well-structured, and
presented in a manner that is easy to comprehend.
It is with pleasure that I place on record my commendation for the commitment and
dedication of the team of teachers which included Mr. D. SREENIVASULU, Training
Associate (MATHEMATICS) from ZIET Mysore who has been the Coordinator of this
assignment and all the concerned PGT- Mathematics subject experts from the four feeder
regions of ZIET Mysore.
Wishing you all the very best in your academic journey!
MENAXI JAIN
DIRECTOR
ZIET MYSORE
i
, CONTENT DEVELOPMENT TEAM
ERNAKULAM REGION
S NO Name of Staff (Mr./Mrs./Ms.) DESIGNATION NAME OF THE KV
1 MRS.SABITHA A K PGT (Maths) K V PAYYANUR
2 MR. SREEJITH S PGT (Maths) K V NO.I CALICUT
3 MRS. SINIMOL K P PGT (Maths) K V NO.1 PALAKKAD
4 MRS. SREELEKHA S KUMAR PGT (Maths) K V ERNAKULAM
5 MRS. SARITHA P PGT (Maths) K V RB KOTTAYAM
6 MRS. S. SHIBI PGT (Maths) K V PATTOM (SHIFT I )
7 MRS. LETHA K NAIR PGT (Maths) K V AFS AKKULAM
BENGALURU REGION
S.NO NAME OF THE TEACHER DESIGNATION NAME OF THE KV
1 MRS LETHA KUMARI PGT(MATHS) ASC BANGALORE
2 DR. SREEDHAR M PGT(MATHS) BELLARY
3 MR. KALAGATOORI BALAJI PGT(MATHS) DONIMALAI
4 MR. MORDHWAJ PGT MATHS HASSAN
5 MR. SURESH LENDE PGT MATHS NO II HUBLI
6 MRS.SOLLY P.J PGT MATHS KV 2, JALAHALLI
7 MR. BANSHI LAL PATEL PGT MATHS NO. 3, BELAGAVI
HYDERABAD REGION
S. No. Name of the Participant Designation Name of KV
1 MR.P SRINIVAS PGT (Maths) KANCHANBAGH
2 MR. M. SIMHACHALAM PGT (Maths) N02, NAUSENABAGH
3 MR. K. RAMA KRISHNA PGT (Maths) VIZIANAGARAM
4 MRS. JESSIAMMA THOMAS PGT (Maths) VENKATAGIRI
5 MR. GOLI RAGHUVARA PRASAD RAO PGT (Maths) N01, NAUSENABAGH
6 MR. M . SREENIVASA RAO PGT (Maths) ONGOLE
7 MR. NAVULURI BRAHMAIAH PGT (Maths) NTPC RAMAGUNDAM
CHENNAI REGION
Sl. No. Name of Participant Designation Name of KV
1 MR.S.RAMASAMY PGT (Maths) DGQA CHENNAI
2 MR.A.PERIYASAMY PGT (Maths) NO.1 TAMBARAM
3 MR.J.G BABU PGT (Maths) DHARMAPURI
4 MR.KASI VISWANADH CH PGT (Maths) MANDAPAM
5 MRS.R. ANKAYARKANNI PGT (Maths) PONDICHERY NO.1 (SHIFT - I)
6 MRS.ANJANA SIVAPRAKASH PGT (Maths) ANNA NAGAR
7 MR.SHIV RAM KUMAR PGT (Maths) PORT BLAIR NO.1
ii
, INDEX
S.NO CHAPTER/UNIT Page Numbers
1 CURRICULAM 1-8
2 1 -NUMBERS, QUANTIFICATION AND NUMERICAL 9 - 31
APPLICATIONS
3 2 -ALGEBRA(MATRICES AND DETERMINANTS) 32 - 54
4 3A - DIFFERENTIATION AND ITS APPLICATIONS 55 - 92
5 3B - INTEGRATION AND ITS APPLICATIONS 93 - 112
6 3C - DIFFERENTIAL EQUATIONS AND MODELING 113 - 131
7 4 - PROBABILITY DISTRIBUTIONS 132 - 156
8 5 - INFERENTIAL STATISTICS 157 - 185
9 6 - INDEX NUMBERS AND TIME-BASED DATA 186 - 207
10 7 - FINANCIAL MATHEMATICS 208 - 231
11 8 - LINEAR PROGRAMMING 232 - 272
iii
