Sequenced manner to solve G. Tiwani's Cengage Maths publication?
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What should be the sequence of solving the Five books of Cengage Maths?
I don't think so that you have to solve the books in a sequence.
Rather one should understand that one should start with very basic chapters of trigonometry and algebra (mix bag actually) then do the very basics of co-ordinate geometry.
Now you are ready to do the calculus part. Then you can go to some chapters like vector 3D.
Let me write down the exact sequence of all the chapters which most of the coaching institutes of Kota follow and which is a very good thing for any student to do.
Basic mathematics ( division of 9th and 10th class important concepts)
- Logarithm number system and modulus and inequalities
- Trigonometry (compound angle)
- Quadratic equation and expressions
- Trigonometric equations.
- Solution of triangles
- Sequence and series ( progressions)
- Determinants
- Straight line
- Circles
- Permutation and combination
- Binomial theorem
- Functions
- Inverse trigonometric functions
- Limit
- Continuity and differentiability
- Methods of differentiation
- Indefinite integration
- Definite integration
- Application of derivative
- Area under the curve
- Differential equation
- Matrices
- Vector 3D
- Complex number
- Probability
- Conic sections (parabola ellipse and hyperbola)
Topics of IIT mains
- Statistics
- Mathematical reasoning
- Sets and relations
- Heights and distance
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