BOOK OVERVIEW
"Calculus 101: A Practical Approach for Beginners" is your essential guide to mastering calculus with ease. From laying down the basic foundation to delving into advanced concepts, this book is meticulously crafted for a clear and straightforward learning experience. The book is divided into four sections to aid easy learning and retention.
Below are the sections and topics:
SECTION I: PRE-CALCULUS
Realation
Types of Relation
Domain and Range
Mapping and Image of a Relation
Functions
Function Notation
Graphs of Functions
Types of Functions
Linear Function
Quadratic Function
Polynomial Function
Exponential Function
Logarithmic Function
Rational Function
Inverse Function
Composite of Functions
limit and continuity
Introduction to Limit
Properties of Limits
Solving Undefined Limit
Evaluating Limit at Infinity
L'H´pital's Rule on Limit
Continuous Functions
Trigonometry
Trigonometric Functions
Trigonometric Identities
Pythagorean identities
Reciprocal identities
complementary identities
Sum and difference identities
Sum to product identities
Product to sum identities
Double angle identities
Special angles identities
SECTION II: DIFFERENTIAL CALCULUS
Derivative using tangent line
Derivative using first principle
Power Rule
Constant Rule
Sum and Difference Rule
Product Rule
Quotient Rule
Chain Rule
Derivative of Trigonometric Functions
Inverse Trigonometric Functions
Derivative of Hyperbolic Functions
Inverse Hyperbolic Functions
Derivative of Exponential Function
Derivative of Logarithm Functions
Higher-Order Derivative
First Derivative
Second Derivative
Third Derivative
Application of Integration
Velocity and Acceleration
Maximum and Minimum Values
SECTION III: INTEGRATION CALCULUS
Integration using Power Rule
Constant Rule
Sum and Difference Rule
Integration by Partial Fraction
Integration by Substitution
Integration by Parts
Integration of Logarithm Functions
Integration of Inverse Trigonometric Functions
Integration of Exponential Functions
Integration of Inverse Hyperbolic Functions
Application of integration
Application to Parametric Equation
Application to Mean Value of a Function
Application to Area Between Two Curves
SECTION IV: ADVANCED CALCULUS
Partial Derivative
Implicit Derivative
Procedure for Implicit Differentiation
