- Teacher: Anandaraj A
- Teacher: ANANDARAJ A A
- Teacher: Mohanraj A
- Teacher: Mr.Chola Raja K AP / CSE
- Teacher: Ms Priyanka G
- Teacher: Sampath Kumar S

Course Duration in Hours: 45

Skill Level: Intermediate

Skill Level: Beginner

- Teacher: Ms kavitha.M.S AP / CSE
- Teacher: Dr S Shanthi AP/CSE
- Teacher: Mr G Karthikeyan AP/CSE
- Teacher: Ms P Chitra AP/CSE
- Teacher: Ms S Saradha AP/CSE
- Teacher: Ms Suvitha M
- Teacher: Gowri S

Skill Level: Beginner

Skill Level: Beginner

#### Syllabus:

**Applications of Matrices and Determinants**

Introduction - Inverse of a Non-Singular Square Matrix – Elementary Transformations of a Matrix – Applications of Matrices – Solving System of Linear Equations – Applications of Matrices – Consistency of system of linear equations by rank method.

**Complex Numbers **

Introduction to Complex Numbers – Complex Numbers – Basic Algebraic – Properties of Complex Numbers – Conjugate of a Complex Number – Modulus of a Complex Number –Geometry and Locus of Complex Numbers – Polar and Euler form of a Complex Number – de moivre’s theorem and its Applications.

**Theory of Equations**

Introduction – Basics of Polynomial Equations – Vieta’s Formulae and Formation of Polynomial Equations – Nature of Roots and Nature of Coefficients of Polynomial Equations – Applications to Geometrical Problems – Roots of Higher Degree Polynomial Equations – Polynomials with Additional Information – Polynomial Equations with no additional information – Descartes Rule.

**Inverse Trigonometric Functions**

Introduction – Some Fundamental Concepts – Sine Function and Inverse Sine Function – The Tangent Function and the Inverse Tangent Function – The Cosecant Function and the Inverse Cosecant Function – The Secant Function and Inverse Secant Function – The Cotangent Function and the Inverse Cotangent Function – Principal Value of Inverse Trigonometric Functions, Properties of Inverse Trigonometric Functions.

**Two Dimensional Analytical Geometry-II**

Introduction – Circle – Conics – Conic Sections – Parametric form of Conics – Tangents and Normals to Conics – Real life Applications of Conics.

**Applications of Vector Algebra**

Introduction – Geometric Introduction to Vectors – Scalar Product and Vector Product – Scalar triple product – Vector triple product – Jacobi’s Identity and Lagrange’s Identity – Different forms of Equation of a Straight line – Different forms of Equation of a plane – Image of a point in a plane – Meeting point of a line and a plane

**Applications of Differential Calculus**

Introduction – Meaning of Derivatives- Mean Value Theorem Series – Expansions – Indeterminate Forms – Applications of First Derivative – Applications of Second Derivative – Applications in Optimization – Symmetry and Asymptotes – Sketching of Curves

**Differentials and Partial Derivatives**

Introduction – Linear Approximation and Differentials – Functions of Several Variables – Limit and Continuity of Functions of Two Variables – Partial Derivatives – Linear Approximation and Differential of a Function of Several Variables

**Applications of Integration**

Introduction – Definite Integral as the Limit of a Sum – Fundamental Theorems of Integral Calculus and their Applications – Bernoulli’s Formula Improper Integrals – Reduction Formulae – Gamma Integral – Evaluation of Bounded Plane Area by Integration – Volume of a Solid obtained by Revolving Area-about an Axis

**Ordinary Differential Equations **

Introduction – Differential Equation - Order and Degree – Classification of Differential Equations – Formation of Differential Equations – Solution of Ordinary Differential Equations – Solution of First Order and First Degree Differential Equations – First Order Linear Differential Equations – Applications of First Order Ordinary Differential Equations

**Probability Distributions**

Introduction – Random Variable – Types of Random Variable – Continuous Distributions – Mathematical Expectation – Theoretical Distributions – Some Special Discrete Distributions

**Discrete Mathematics **

Introduction – Binary Operations – Mathematical Logic

#### Course Outcomes

##### Chapter wise study materials-Video Materials

##### Chapter wise MCQ Tests for practice and self-Assessment

##### Expert Talk

##### Ranking Leader board

##### Certificate of completion

- Teacher: Jothimani K
- Teacher: Sivaranjani K
- Teacher: shalini M.M
- Teacher: SECE Maths
- Teacher: murugavalli N
- Teacher: Valliammal N
- Teacher: Dr Maheswari R
- Teacher: Sreeparimala R
- Teacher: deepa V

Course Duration in Hours: 45

Skill Level: Intermediate

Skill Level: Beginner

Skill Level: Beginner

Skill Level: Beginner

- Teacher: SRINIVASAN S AHM (HSE)
- Teacher: Ms N Sindhubala B.T. Maths
- Teacher: Ms S Anu B.T.Bot.
- Teacher: Mr S Sunil Kumar B.T.Eng
- Teacher: Mrs C Brindha B.T.His.
- Teacher: Mrs K Geetha B.T.His.
- Teacher: K Govindaraju B.T.Maths
- Teacher: Mr G S Satheesu Kumar B.T.Maths
- Teacher: Ms R Sowmiya B.T.Maths
- Teacher: MR M Jayaprakasam B.T.Tamil
- Teacher: Mr M Pandhalarajan B.T.Tamil
- Teacher: Mr R Suresh B.T.Tamil
- Teacher: Mr K Mohan Raj BT Eng
- Teacher: Mr.A.Kumar H.O.D P.G.T.Che.
- Teacher: Mr.S.Pasupathi H.O.D P.G.T.Comp
- Teacher: Mr.B.Chinnamani H.O.D P.G.T.Maths
- Teacher: Mr R.Sree Manikandan H.O.D P.G.T.Phy
- Teacher: Mrs.K.Sumathi H.O.D P.G.T.Tamil
- Teacher: Senthil HM
- Teacher: GULZAR BEGUM P.G.T ECONOMICS
- Teacher: MR A B Kartick Kumar P.G.T.Bot.
- Teacher: Mr K Raja P.G.T.Che.
- Teacher: Mr P Muthukuamr P.G.T.Che.
- Teacher: Mr U Rasool Mustafa P.G.T.Che.
- Teacher: Mr. RAJA P.G.T.Che.
- Teacher: Mrs K Vasuki P.G.T.Che.
- Teacher: Ms S Suganya P.G.T.Commerce
- Teacher: Mr.C.Subramaniam P.G.T.Comp
- Teacher: Mrs M Priyadharshini P.G.T.Eng.
- Teacher: Mr K.Sasikala P.G.T.Maths
- Teacher: Mr S V Prabu P.G.T.Maths
- Teacher: Mrs G Prema P.G.T.Phy
- Teacher: Mrs.S Sumathira P.G.T.PHY
- Teacher: Ms S Vinodhini P.G.T.PHY
- Teacher: Mr M Meganathan P.G.T.Tamil
- Teacher: Mr M Shanmuagasundaram P.G.T.Tamil
- Teacher: Mrs K Hemalatha P.G.T.Tamil
- Teacher: Mrs K Indhumathi P.G.T.Zoo.
- Teacher: Mrs M A Suganthi PGT Zoo
- Teacher: MR.SENTHIL SRV

Skill Level: Beginner

Skill Level: Beginner