Complete Course on Mathematics (Optional) - Paper I

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Complete Course on Mathematics (Optional) - Paper I

Vaibhav Patidar

In this course, Vaibhav will discuss important concepts under Mathematics. This course will be helpful for all aspirants preparing for the UPSC exams. Learners at any stage of their preparation would be benefite... Read more

Ended on Jan 24

Nov 20, 2020 - Jan 24, 2021

70 lessons

0 practices

0 questions by educators

Week 1

Nov 16 - 22

4 lessons

Nov

20

Algebra of Vectors - Dot, Cross and Triple Products, Fields

Lesson 1 • Nov 20 • 2h 2m

Nov

20

Gradient, Divergence and Curl in Cartesian and Cylindrical Coordinates

Lesson 2 • Nov 20 • 2h 9m

Nov

21

Higher Order Derivatives - Vector Identities and Vector Equations

Lesson 3 • Nov 21 • 2h 5m

Nov

22

Doubt Clearing Session + Green’s Theorem and Identities

Lesson 4 • Nov 22 • 2h 13m

Week 2

Nov 23 - 29

10 lessons

Nov

23

Stokes Theorem

Lesson 5 • Nov 23 • 2h 8m

Nov

23

Gauss Divergence Theorem

Lesson 6 • Nov 23 • 2h 7m

Nov

24

Application to Geometry - Curves in Space

Lesson 7 • Nov 24 • 2h 13m

Nov

24

Doubt Clearing Session + Curvature and Torsion

Lesson 8 • Nov 24 • 2h 8m

Nov

25

Serret-Frenet’s Formulae

Lesson 9 • Nov 25 • 2h 10m

Nov

25

Algebra of Matrices - Row and Column Reduction, Echelon Form, Congruence and Similarity

Lesson 10 • Nov 25 • 2h 9m

Nov

26

Inverse of a Matrix, Solution of System of Linear Equations, Eigenvalues and Eigenvectors

Lesson 11 • Nov 26 • 2h 29m

Nov

26

Doubt Clearing Session + Symmetric, Skew-Symmetric, Hermitian, Skew-Hermitian, Orthogonal and Unita

Lesson 12 • Nov 26 • 2h 9m

Nov

27

Characteristic polynomial, Cayley-Hamilton theorem

Lesson 13 • Nov 27 • 2h 5m

Nov

28

Vector Spaces over R and C, Linear Dependence and Independence, Subspaces, Bases, Dimension

Lesson 14 • Nov 28 • 2h 6m

Week 3

Nov 30 - Dec 6

12 lessons

Dec

1

Cartesian and Polar Coordinates in Three Dimensions, Strait lines - A

Lesson 15 • Dec 1 • 2h 8m

Dec

1

Doubt Clearing Session + Strait Lines - B , Shortest Distance between Two Skew Lines

Lesson 16 • Dec 1 • 2h 22m

Dec

2

Plane - A

Lesson 17 • Dec 2 • 2h 2m

Dec

2

Plane - B

Lesson 18 • Dec 2 • 2h 1m

Dec

3

Sphere - A

Lesson 19 • Dec 3 • 2h 7m

Dec

3

Doubt Clearing Session + Sphere - B

Lesson 20 • Dec 3 • 2h 3m

Dec

4

Cone - A

Lesson 21 • Dec 4 • 2h 13m

Dec

4

Cone - B

Lesson 22 • Dec 4 • 2h 2m

Dec

5

Cone - C and Cylinders

Lesson 23 • Dec 5 • 2h 14m

Dec

5

Doubt Clearing Session + Paraboloid, Ellipsoid, Hyperboloid of One and Two Sheets and their Propert

Lesson 24 • Dec 5 • 2h 1m

Dec

6

Paraboloid, Ellipsoid, Hyperboloid of One and Two Sheets and their Properties - B

Lesson 25 • Dec 6 • 31m

Dec

6

Paraboloid, Ellipsoid, Hyperboloid of One and Two Sheets and their Properties - C

Lesson 26 • Dec 6 • 1h 58m