## JEE Advanced Mathematics Syllabus 2017

Here you will find __ JEE Advanced__ Mathematics Syllabus 2017.

**Algebra**

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

**Analytical geometry**

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord.

Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.

Locus Problems.

Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential calculus

Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.

Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.

Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s Mean Value Theorem.

**Integral calculus**

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.

Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.

Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

**Vectors**

Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.

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Bijapur Bijnor Bijnore Bijnour Bikaner Bikram Bilara Bilas Pur Bilaspur Birbhum Birchandra Nagar Biring Birtung Bisalpur Bishnupur Bishunpura Biswanath Chariali Bodh Gaya Bokaro Bolangir Bollikunta Bolpur Bongaigaon Borong Borpeta Boudh Brahmavar Brahmpuri Brij Puri Brijkunj Budaun Budgam Budhdada Budhladda Bulandshahar Bulandshahr Bulandshar Bulandshaur Bulandshehar Buldana Buldhana Bundi Burari Burdwan Burhanpur Burma Burnpur Buxar Cachar Calcutta Calicut Cannanore Cantonment Central Delhi Chak Hakim Chakung Chamaraja Nagar Chamba Chamoli Champa Champawat Champin Nancowrie Chandauli Chandigarh Chandoli Chandrapur Changanassery Changland Changlang Chapra Chathannoor Chatra Chengalpattu Chengalput Chengannur Chennai Cherthala Chettikulangara Cheviot Chhaitana Puri Chhatarpur Chhindwara Chhura Chickballapur Chickmagalur Chicmagalur Chikhli Chikkaballapur Chikmagalur Chikodi Chingthang Chirala Chitorgarh Chitradurga Chitrakoot Chittoor Chittorgarh Chomu Choudwar Chouldari Chugittee 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Singhbhum Edogana Ellenabad Eluru Emakulam Eranakulam Eravipuram Ernakulam Erode Etah Etawah Ethiopia Ettumanoor Etwah Faizabad Famana Faridabad Faridabad - Delhi/ NCR Faridkot Farrukhabad Farsgaon Farukhabad Fategarh Fateghgarh Fatehabad Fatehgarh Sahib Fatehpur Fazilika Fazilka Ferozabad Ferozepur Ferozpur Ferozshah Firozabad Firozpur Fujairah G B Nagar Gadag Gadchiroli Gagan Gajapati Gajraula Galudih Gandhi Nagar Gandhidham Gandhinagar Gangajal Ghati Ganganagar Gangtok Gangyap Ganjam Garacharama Garhshankar Garhwal Garwal Garwha Gautam Buddha Nagar Gautam Budh Nagar Gaya Gazipur Geyzing Ghansore Gharwal Ghatkesar R R Ghaziabad Ghaziabad - Delhi/ NCR Ghazipur Ghohan Giddernwali Giridih Gmr Nagar Goa Goalpara Gobindgarh Godag Godda Godhra Godwari Gohana Goindwal Gokak Golaghat Gollapudi Gonda Gondia Gondiya Gopalganj Gorakhpur Govindpura Greater Noida Green Park Gudivada Gudur Gulbarga Gumla Guna Guntur Gunupur Gurdas Pur Gurdaspur Gurgaon - Delhi/NCR Gurgoan Guwahati Guwahati Gwalior Gyalshing Gyanpur Haddo Haflong Hailakandi Hajipur Haldia Haldwani Halwara Hamirpur Hampi Hanuman Garh Hanumangarh Hapur Harda Hardoi Hardwar Haridwar Harihar Harihar Nagar Harnaut Haryana Hassan Hathras Hatiberia Hatras Haveri Hawrah Hayatnagar Hazari Bagh Hazaribag Hazaribagh Heegyathang Himmat Nagar Hingoli Hiran Magri Hisar Hissar Hobli Hoisharpur Honavar Hooghly Hoshangabad Hoshiarpur Hoskote Hosur Howrah Howrah Hubli Hungund Hyderabad Hyderebad Ichapur Idduki Iddukki Idukki Imphal Indira Nagar Indonesia Indore Ishapur Itanagar J P Nagar Jabalpur Jafrabad Jagadhari Jagadhri Jagaptura Jagatsinghpur Jagatsinghpur Jagdalpur Jagraon Jahanabad Jaintia Hills Jaipampur Jaipur Jaisalmer Jajpur Jalandhar Jalaun Jalegaon Jalgaon Jallandhar Jallore Jalna Jalpaiguri Jamkhandi Jammu Jamnagar Jamshedpur Jamtara Jamui Jangger Jangir Champa Janjgir Janjgir-Champa Jankpuri Jashpur Nagar Jath Jatsinghpur Jaunpur Jeawak Jeddah Jehanabad Jehanbad Jehnabad Jetpur Jeypore Jhabua Jhajjar Jhalawar Jhalrapatan Jhandewalan Jhansi Jharkhand Jharsuguda Jhunjhunu Jind Jirkatang Jirnia Joda Jodhpur Jorethang Jorhat Jorhat Jorwat Jowai Jubail Jullundhur Jullundur Junagadh Junagarh Junglighat Junnar Kabirdham Kabri Anglong Kachchh Kadamtala Kadapa Kadi Kadi Kafed Kaiga Kailashahar Kaimur Kaithal Kakinada Kakinara Kakkad Kakrajhar Kakroi Kala Handi Kalady Kalahandi Kalai Kunda Kalamavur Kalanaur Kalasib Kalayat Kalikapur Kalkaji Kallachi Kallekka Kalol Kalpakkam Kaluk Kalyani Kamarajar Kameng Kamla Nagar Kamptee Kamrup Kanakapura Kanaundiaya Kanayannur Kancheepuram Kanchikacherla Kanchipuram Kanchrapara Kandhamal Kandra Kandrapara Kangeri Kangra Kanjirappally Kanker Kannada Kannauj Kannaur Kannoj Kannur Kanpur Kanpur Nagar Kanur Kanyakumari Kapadwanj Kappaly Kapurthala Kapurthala Maseetan Karad Karaikal Karaikudi Karaikudi Karamsad Karapakkam Karari Karauli Karbi Anglong Karegaon Kargil Kariapatti Kariavattom Karim Nagar Karimganj Karimnagar Karimnagar Karkardooma Karnal Karnal Karnapur Karukapuphur Karur Karwar Karwi Kasaragod Kasargad Kasargod Kasargud Kasatrgod Kasauli Kashipur Kashmir Katchal Kathal Kathmandu Kathmendu Kathua Katihar Katni Katomei Katoratal Katra Kattankulathur Kattappana Kattarakkara Kaulan Kaushalya Nagar Kaushambi Kavaraipettai Kavaratti Kawardha Kayamkulam Kazhakuttom Kelambakkam Kemeng Kendrapara Keonjagar Keonjhar Kernal Kewzing Khabam Khagaria Khaimah Khairabad Khairagarh Khalilabad Khamdong Khammam Khandala Khandwa Khanna Kharagpur Kharar Kharegone Khargaon Khargone Kharika Kharsawan Khasi Hills Khechuheri Kheda Khera Kheri Khobar Khongjom Khonsa Khopoli Khordha Khurd Khurda Khurda Khurja Kindoormala Kingston Kinnaur Kinnur Kiphire Kirkee Kishan Ganj Kishanganj Kishanpur Kishtwar Kitam Kochi Kodagu Kodaikanal Kodali Koderma Kodurma Kohima Kokrajhar Kolaghat Kolapakkam Kolar Kolhapur Kolkata Kollam Kondagaon Kondhwa Koppal Koraput Korba Kore Gaon Korea Koriya Kosli Kota Kotdwara Kothamangalam Kothapalli Kottarakkara Kottayam Kottyam Kovilpatti Koyilandy Kozhikode Krishna Krishnagiri Krishnankovil Kualalumpur Kudwa Kukshi Kullu Kulu Kulvehri Kumarghat Kumbakonam Kumta Kunjwani Kunnamkulam Kunnur Kuppam Kuppe Kupwara Kurnool Kurukeshtra Kurukshetra Kurung Kumey Kurushetra Kushi Nagar Kushinagar Kutch Kutch Bhuj Kuwait Kymore Ladamada Ladnun Lahaul & Spiti Lahaul Spitti Lajpat Nagar Lakhala Lakhimpur Kherd Lakhimpur Kheri Lakhisarai Lakhmpur Lakshmisahar Lalgarh Lalit Pur Lalitpur Latehar Latur Laxmeshwar Legship Leh Lehragaga Liberia Libya Limbdi Lingchom Lingdok Lingee Linkey llkal Lohardaga Loherdaga Lohit Lonavala Lonavla Lower Subansiri Lucknow Luckow Ludhiana Luing Lungeli Lunglei Machilipatnam Madanapalle Madhepura Madhu Bani Madhubani Madras Madukkarai Madurai Madurai Mahabub Nagar Mahabubnagar Mahamayanagar Maharajganj Mahasamund Mahasumund Mahboobnagar Mahbubanagar Mahe Mahender Garh Mahendergarh Mahendragarh Mahilpur Mahindergarh Mahipalpur Mahoba Mainpuri Majra Makha Makrania Malacca Malamunda Malappuram Malapuram Malaysia Malbangiri Malbasey Malda Malkangiri Mallappuram Mallapuram Malout Mamit Mamring Manali Mananthavady Mandal Mandi Mandla Mandsaur Mandya Mangaldoi Mangalloi Mangalore Mangan Manglutan Mangshila Manipal Manipur Manipur East Maniram Maniyari Manjeri Mannarghat Mansa Mansarovar Mansarover Mantripukri Manul Margao Markapur Mathura Mau Maugate Mavelikara Mavelikkara Mawana Mayabunder MAYILADUTHURAI Mayiladuthurai Mayurbhanj Medak Medak Medavakkam Medinipur Meerrut Meerut Mehaboob Nagar Meham Meherpur Mehrauli Mehsana Meichen Melli Melpakkam Merrut Mewat Mhow Middle Camp East Midnapore Midnapur Mildera Ii Katchal Miraj Mirza Pur Mirzapur Misrod Miyarpur Mizoram Modasa Modi Nagar Modinagar Moga Mogappair Mogha Mohali Mohan Mohanbari Mohanpur Mohindergarh Moinabad Mokokchung Mon Moodabidri Moradabad Morane Moravian Morbi Morena Morigaon Mukandapuram Mukankipur Mukarsar Muktsar Mukurung Mumbai Mundh Mundra Mundradaippu Munger Munnar Munnar Muradabad Muradpur Murshidabad Mussoorie Mussorie Muvattu Puzha Muvattupuzha Muzafarnagar Muzaffar Nagar Muzaffar Pur Muzaffarnagar Muzaffarpur Muzzafarnagar Mysore N C Hills Nabarangapur Nabarangpur Nabha Nadia Nadiad Naduvannur Nagaland Nagaon Nagapattinam Nagaur Nagda Nagercoil Nagercoil Nagore Nagpur Nahan Naharlagun Nainital Nainital Najafgarh Najibabad Nalanda Nalbari Nalgonda Naliya (Kutch) Nalonda Namakkal Namcheybong Namchi Namphok Namunaghar Nanakpura Nanded Nandha Nandugaon Nandurbar Nandyal Nangal Nangloi Naregal Narela Narnaul Narnual Narsanda Narsimhapur Narsinghpur Narwana Nashik Nasik Nasirpur Nathdwara Navi Mumbai Navsari Nawada Nawadah Nawan Sahar Nawanshahar Nawanshahr Nawanshar Nayabazar Nazira Neemkathana Neemuch Nellai Nellore Nerul New Delhi New Mumbai Neyveli Nigeria Nikita Charitable Trust Nileswaram Nilgiris Nipani Nippani Nizamabad Noida - Delhi/NCR North 24 Parganas North Arcot Nuapada Nupada Nurpur Nuzvid Okhrey Okhro Oman Ongole Oorakam Ootacomand Ooty Orissa Osmababad Osmanabad Others 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Pokhara,Nepal Ponda Pondicherry Poochakkal Poonch Porbandar Port Blair Prakasam Pratap Garh Pratapgarh Puducherry Pudukkottai Pulikkal Puliyanoor Pulwama Punalur Pune Punhana Punjab Puranpur Purba Medinipur Puri Purnea Purnia Purola Purulia Puthanamthitta Puttaparthi Putur Pwd Road Qatar Quilon R.K.Puram R/ D Block Raebareli Rahikpur Rai Bareli Raibag Raichur Raigad Raigarh Rainpura Raipur Raisen Rajahmundry Rajamendry Rajasmand Rajasthan Rajgarh Rajkot Rajnandgaon Rajouri Rajpura Rajsamand Ralong Ramanagara Ramanathapuram Ramkrishnapur Rampur Ranchi Ranebennur Ranga Reddy Rangareddy Rangit Nagar Rangpo Ranhaula Raniganj Ranikhet Ranipet Ranipool Ratanagiri Ratlam Ratnagiri Ravangla Rawat Rawtey Rayagada Republic Of Benin Reshi Rewa Rewari Rewari Rhenock Ribandar Ribhoi Richukhrang Rifles Rishikesh Risod Riyadh Rohini Rohtak Rohtas Roing Rongli Roorkee Ropar Rourkela Rudar Rudra Nagar (Basti) Rudraprayag Rudrapur Rudrapur Rupnagar S.B.S. 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