You may or may not remember a lot of calculus ... the rate of change at any point. The integral describes the area under the curve of the function. At first glance, those things don’t appear ...

This course is designed to develop the topics of differential and integral calculus. Emphasis is placed on limits, continuity, derivatives and integrals of algebraic and transcendental functions of ...

Implementations of the following numerical integration techniques are given below: Left-hand Riemann sum, Right-hand Riemann sum, Midpoint Rule, Trapezoid Rule, and Simpson's Rule. Modify and evaluate ...

This course provides students with a comprehensive understanding of differential and integral calculus for single variable functions, including polynomial, exponential, logarithmic, and trigonometric ...

Abstract: A variety of problems emerged investigating electronic circuits, computer devices and cellular automata motivated a number of attempts to create a differential and integral calculus for ...

Serves as a continuation of Calculus I. Integration and techniques of integration including the substitution method, integration by parts, trigonometric integrals, trigonometric substitution, ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

In calculus, the indefinite integral is the most general form of an anti-derivative for a function. This means, given a function F(x) and its derivative f(x), F(x) is the anti-derivative of f(x). The ...

curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial derivatives, directional derivatives, the gradient, Lagrange ...

4.9 04/08 Review. 04/13 Midterm 2. 04/15 Definite integral: definition. §5.1 04/20 The “area so far” function. §5.2 04/22 The fundamental theorem of calculus. Evaluating definite integrals via the ...

What is the Calculus of Variations? Many problems involve finding a function that maximizes or minimizes an integral expression. One example is finding the curve giving the shortest distance between ...

This can solve differential equations and evaluate definite integrals. Applying differential calculus Optimization is used to find the greatest/least value(s) a function can take. This can involve ...