Outline of Contents
Target Audience: High School Students, College Freshmen and Sophomores, students preparing for the International Baccalaureate (IB), AP Calculus AB, AP Calculus BC, A Level, Singapore/GCE A-Level; Class 11/12 students in India preparing for ISC/CBSE and Entrance Examinations like the IIT-JEE/AIEEE Anyone else who needs this Tutorial as a reference!
More advanced cases of evaluating limits
- conditions for continuity of functions
- common approximations used while evaluating limits for ln ( 1 + x ), sin (x)
- continuity related problems for more advanced functions than the ones in the first group of problems (in the last tutorial).
- Finding the values of 'x' for which a given function is continuous. Limits involving change of variables. Determining whether given functions are continuous at specified points. Limits involving approximations and series expansions.
- Limits involving polynomials of 'x' in the numerator and denominator
- limits involving series expansions, trigonometric, exponential and logarithmic functions.
- Coverage 0/0 and Infinity/Infinity kinds of limits.
- Apart from this, we will also find the limits for a lot more interesting functions and we will also learn to apply L'Hospital's rule.
MCQ Quiz on Single Variable Calculus mainly focused on Functions, Limits, Continuity- Set 2
Companion MCQ Quiz for Functions, Limits, Continuity #2 - test how much you know about the topic. Your score will be e-mailed to you at the address you provide.
MCQ QuizGoogle Spreadsheet Form
Other Calculus Tutorials
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Quick and introductory definitions related to Funtions, Limits and Continuity
Functions, Limits and Continuity - Solved Problem Set I - The Domain, Range, Plots and Graphs of Functions; L'Hospital's Rule-
Functions, Limits and Continuity - Solved Problem Set II - Conditions for Continuity, More Limits, Approximations for ln (1+x) and sin x for infinitesimal values of x
Functions, Limits and Continuity - Solved Problem Set III - Continuity and Intermediate Value Theorems
Introductory concepts and definitions related to Differentiation - Basic formulas, Successive Differentiation, Leibnitz, Rolle and Lagrange Theorems, Maxima , Minima, Convexity, Concavity, etc
Differential Calculus - Solved Problem Set I - Common Exponential, Log , trigonometric and polynomial functions
Differential Calculus - Solved Problem Set II - Derivability and continuity of functins - Change of Indepndent Variables - Finding N-th Derivatives -
Differential Calculus - Solved Problems Set III- Maximia, Minima, Extreme Values, Rolle's Theorem
Differential Calculus - Solved Problems Set IV - Points of Inflexion, Radius of Curvature, Curve Sketching
Differential Calculus - Solved Problems Set V - Curve Sketching, Parametric Curves
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Introducing Integral Calculus - Definite and Indefinite Integrals - using Substitution , Integration By Parts, ILATE rule
Integral Calculus - Solved Problems Set I - Basic examples of polynomials and trigonometric functions, area under curves
Integral Calculus - Solved Problems Set II - More integrals, functions involving trigonometric and inverse trigonometric ratios
Integral Calculus - Solved Problems Set III - Reduction Formulas, Using Partial FractionsI
Integral Calculus - Solved Problems Set IV - More of integration using partial fractions, more complex substitutions and transformations
Integral Calculus - Solved Problems Set V- Integration as a summation of a series
Introduction to Differential Equations and Solved Problems - Set I - Order and Degree, Linear and Non-Linear Differential Equations, Homogeneous Equations, Integrating Factor
Differential Equations - Solved Problems - Set II - D operator, auxillary equation, General Solution
Differential Equations - Solved Problems - Set III - More Differential Equations
Differential Equations - Solved Problems - Set IV
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