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# Calculus Notes PDF

## Chapter No.3, General Theorem, Intermediate

“Indeterminate” refers to a value that is not known. A mathematical statement known as the indeterminate form states that even after substituting the limits, we are still unable to determine the original value. The indeterminate form of limits and various indeterminate forms in algebraic expressions will be covered in this article along with examples.

### Course Contents

• Rolle’s theorem
• Geometrical interpretation of Rolle’s theorem
• The mean value theorems
• Another form of mean value theorem
• Increasing and decreasing functions
• Cauchy’s mean value theorem
• Extended mean value theorem
• Indeterminate form
• The form 0×∞ (or ∞×0)
• The form ∞−∞

## Chapter No.1, The Derivatives PDF Solutions

Chapter 02, The Derivative Notes for ADS/BSc Students following a fruitful investigation, these BSc mathematics notes were created. You should carefully plan out all of these things in chapter no.2 if you want to achieve a high rank in your batch. For every class, we always distribute the best notes so that all students may simply prepare them.

Students who believe they will finish their BSc course preparation in the next few months are mistaken because there are now more preparation materials than ever before. To ensure that you feel comfortable at the end, prepare all exercise notes ahead of time.

A function’s derivative is the pace at which it changes in an instant with respect to one of its variables. The counterpart of this is determining the slope of the tangent line to the function at a certain location. To inspire a geometric definition of the derivative, let’s consider derivatives as tangents.

### Course Contents

• Definition and notation
• Geometrical interpretation of the derivative
• Instantaneous velocity
• Marginal functions in economics
• General theorems on derivatives
• Inverse trigonometric functions
• Logarithmic and exponential functions
• Leibniz rule
• Functions of several variables
• Open and closed rectangles
• Limit and continuity
• Partial derivatives
• Differentiability

## Chapter 01, Real Numbers, Limits and Continuity

Calculus Chapter 01 Real Numbers, Limits and Continuity Notes for Exam Preparation. These calculus notes were created using the most recent BSc/ADS course. We are aware that the BSc math syllabus is extensive and many students are unaware of its completion date. You can now go to Study Medium to access all of the calculus chapters. Because a professional writer created these notes, you can prepare them all without worry.

Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1), fractions (1/2, 2.5), and the number 3. A function f with variable x is continuous at point “a” on the real line if the limit of f(x), when x approaches the point “a,” is identical to the value of f(x) at “a,” which indicates that f is continuous (a).

### Course Contents

• Rational numbers, Irrational numbers, Real numbers, Complex numbers
• Properties of real numbers, Order properties of R
• Absolute value or modules of an R
• The completeness property of R
• Upper bound, lower bound
• Real line, Interval
• The working rule for the solution to the inequality
• Binary relation (B.R), Domain of B.R, Range of B.R
• Function, Onto or surjective function, (1-1) Function, Bijective Function
• Real valued function, Image of a function, Bracket function Finite limit at a finite point
• Right-hand limit
• Left-hand limit

### Notes By Imtiaz Hussain

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