MTH112
Mathematics I
Difficulty :
Hard
Too much hard to cover everything in short time. Prepare dedicately for at least 2 weeks
Functions
Estimated Marks : 5
2 Videos
Study Tips:
it's just 11 class function's, nothing new
Chapter Playlist
1
Combination of Function and graph of Functions
Combination of Function and graph of Functions2
Domain and Range
Domain and Range- 1Combination of Function and graph of Functions
- 2Domain and Range
Limits and Continuity
Estimated Marks : 5
4 Videos
Study Tips:
just 11 and 12 topics eizzy pizzy
Chapter Playlist
1
Limits
Limits2
Continuity
Continuity3
Asymptotes
Asymptotes4
Limits and Continuity
Limits and Continuity- 1Limits
- 2Continuity
- 3Asymptotes
- 4Limits and Continuity
Derivatives
Estimated Marks : 10
8 Videos
Study Tips:
Most of the topics are from 11-12 nonetheless calculus is a tough nut to crack
Chapter Playlist
1
tangent and velocity
tangent and velocity2
Rate of change and Review of Derivative
Rate of change and Review of Derivative3
Differentiability of a Function
Differentiability of a Function4
Mean Value Theorem and LHospital's Rule
Mean Value Theorem and LHospital's Rule 5
Maxima and Minima
Maxima and Minima 6
Newtons's Raphson method
Newtons's Raphson method7
Optimization Problems
Optimization Problems8
Curve Sketching
Curve Sketching- 1tangent and velocity
- 2Rate of change and Review of Derivative
- 3Differentiability of a Function
- 4Mean Value Theorem and LHospital's Rule
- 5Maxima and Minima
- 6Newtons's Raphson method
- 7Optimization Problems
- 8Curve Sketching
Antiderivatives
Estimated Marks : 10
15 Videos
Study Tips:
A bit of a different approach to antiderivatives, it's quite a long chapter
Chapter Playlist
1
Rectilinear motion
Rectilinear motion2
Area under the curve
Area under the curve 3
Definite Integral
Definite Integral 4
Riemann Sums
Riemann Sums5
Midpoint rule
Midpoint rule 6
The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus7
indefinite Integral
indefinite Integral 8
Net Change Theorem
Net Change Theorem9
Improper Integrals
Improper Integrals10
Area Between Two Curves
Area Between Two Curves11
Volume by Cylindrical Shells
Volume by Cylindrical Shells12
Trapezoidal Rule
Trapezoidal Rule13
Simpson's Rule
Simpson's Rule14
Arc Length
Arc Length15
Area of Surfaces of Revolution
Area of Surfaces of Revolution- 1Rectilinear motion
- 2Area under the curve
- 3 Definite Integral
- 4Riemann Sums
- 5Midpoint rule
- 6The Fundamental Theorem of Calculus
- 7indefinite Integral
- 8Net Change Theorem
- 9Improper Integrals
- 10Area Between Two Curves
- 11Volume by Cylindrical Shells
- 12Trapezoidal Rule
- 13Simpson's Rule
- 14Arc Length
- 15Area of Surfaces of Revolution
Infinite Sequence and series
Estimated Marks : 15
13 Videos
Study Tips:
Probably 2 short and 1 long question is asked from this chapter. It's easier to gain marks in this chapter but you must practice many questions.
Chapter Playlist
1
Sequence and Series - Review
Sequence and Series - Review2
Infinite Series
Infinite Series3
Comparison Test
Comparison Test4
Cauchy's Integral Test
Cauchy's Integral Test5
Ratio Test
Ratio Test6
Root Test
Root Test7
Alternating Series | Leibniz Test
Alternating Series | Leibniz Test8
Absolute Convergence
Absolute Convergence9
Conditionally Convergent
Conditionally Convergent10
Power Series
Power Series11
Term by Term
Term by Term12
Taylor & Maclaurin Series
Taylor & Maclaurin Series13
Taylors Theorem
Taylors Theorem- 1Sequence and Series - Review
- 2Infinite Series
- 3Comparison Test
- 4Cauchy's Integral Test
- 5Ratio Test
- 6Root Test
- 7Alternating Series | Leibniz Test
- 8Absolute Convergence
- 9Conditionally Convergent
- 10Power Series
- 11Term by Term
- 12Taylor & Maclaurin Series
- 13Taylors Theorem
Ordinary Differential Equation
Estimated Marks : 10
7 Videos
Study Tips:
This topic is not that hard. A lot of topic is built upon the mathematics of 11 and 12. Practice questions from past year papers and examples of book.
Chapter Playlist
1
First Order Differential Eqn - One shot
First Order Differential Eqn - One shot2
Bernoulli Differential Equation
Bernoulli Differential Equation3
Bernoulli DE - Question
Bernoulli DE - Question4
Second Order Differential Eqn - English
Second Order Differential Eqn - English5
Second Order Equation - Hindi
Second Order Equation - Hindi6
Non Homogeneous Equation
Non Homogeneous Equation7
Mixing Problem
Mixing Problem- 1First Order Differential Eqn - One shot
- 2Bernoulli Differential Equation
- 3Bernoulli DE - Question
- 4Second Order Differential Eqn - English
- 5Second Order Equation - Hindi
- 6Non Homogeneous Equation
- 7Mixing Problem
Plane and Space Vectors
Estimated Marks : 10
9 Videos
Chapter Playlist
1
Vector basics
Vector basics2
Directions Angle and Directions Cosines
Directions Angle and Directions Cosines3
Projections of vector
Projections of vector4
Lines and planes in space
Lines and planes in space5
Derivative and integral of vector function
Derivative and integral of vector function6
arc length
arc length7
Motion in space velocity and acceleration
Motion in space velocity and acceleration8
TNB system
TNB system9
Curvature of the vector function
Curvature of the vector function- 1Vector basics
- 2Directions Angle and Directions Cosines
- 3Projections of vector
- 4Lines and planes in space
- 5Derivative and integral of vector function
- 6arc length
- 7Motion in space velocity and acceleration
- 8TNB system
- 9Curvature of the vector function
Partial Derivatives and Multiple Integrals
Estimated Marks : 10
14 Videos
Study Tips:
If just before exam: you must learn to find out partial derivatives at least and Eulers and Fubinis Theorem. Other topics are bit hard and require practice.
Chapter Playlist
1
Limit of 2 variable functions
Limit of 2 variable functions2
Partial Derivative
Partial Derivative3
Euler Formula
Euler Formula4
Total Differential Formula
Total Differential Formula5
Chain Rule
Chain Rule6
Implicit Differentiation
Implicit Differentiation7
Tangent Plane and Normal Line
Tangent Plane and Normal Line8
Local Minima and Maxima
Local Minima and Maxima9
Absolute Minima and Maxima
Absolute Minima and Maxima10
Langrange Multiplier
Langrange Multiplier11
Double Integral
Double Integral12
Fubini's Theorem
Fubini's Theorem13
Area by Double Integral
Area by Double Integral14
Volume by Double Integral
Volume by Double Integral- 1Limit of 2 variable functions
- 2Partial Derivative
- 3Euler Formula
- 4Total Differential Formula
- 5Chain Rule
- 6Implicit Differentiation
- 7Tangent Plane and Normal Line
- 8Local Minima and Maxima
- 9Absolute Minima and Maxima
- 10Langrange Multiplier
- 11Double Integral
- 12Fubini's Theorem
- 13Area by Double Integral
- 14Volume by Double Integral