Calculus is a branch of Mathematics that deals with the study of limits, functions, derivatives , integrals and infinite series.
The subject comes under the most important branches of applied Mathematics, and it serves as the basis for all the advanced mathematics calculations and engineering applications.
"You don't have to be a mathematician to have a feel for numbers." – John Forbes Nash, Jr.
1.2 Finding Limits Graphically and Numericallye
1.3 Evaluating Limits Analytically
3.2 Rolles Theorem and the Mean Value Theorem
3.3 Increasing and Decreasing Functions and the First Derivative Test
3.4 Concavity and the Second Derivative Teste
4.1 Antiderivatives and Indefinite Integration
4.3 Riemann Sums and Definite Integrals
4.4 The Fundamental Theorem of Calculus
5.1 The Natural Logarithmic Function - Differentiation
5.2 The Natural Logarithmic Function - Integration
5.4 Exponential Functions - Differentiation and Integration
5.5 Bases Other than e and Applications
5.6 Inverse Trigonometric Functions - Differentiation
6.1 Slope Fields and Euler's Method
6.2 Differential Equations - Growth and Decay
6.3 Separation of Variables and the Logistic Equation
7.1 Area of a Region Between Two Curve
7.4 Arc Length and Surfaces of Revolution
7.6 Moments, Centers of Mass, and Centroids
8.4 Trigonometric Substitution
8.6 Integration by Tables and Other Integration Techniques
9.3 The Integral Test and p-Series
9.7 Taylor Polynomials and Approximations
9.9 Representation of Functions by Power Series
10.2 Plane Curves and Parametric Equations
10.3 Parametric Equations and Calculus
10.4 Polar Coordinates and Polar Graphs
10.5 Area and Arc Length in Polar Coordinates