Calculus 1 course is taught to college and university students who enrol in the fields related to engineering, like mathematics, computer science, and physics. This basic course includes the topics limits and continuity, derivatives, applications of derivatives, functions, integration, differential equations, and the applications of integrals.
In this course, you will learn the basics of all the above topics. If you have a grip on these topics, then it will be easy for you to understand the courses Calculus 2 and Calculus 3 offered by most universities after completing Calculus 1. So, imagine the importance of this basic course, Calculus 1.
While many institutes offer physical classes for this course, others offer this course online. Many people around the globe choose these distance learning programs for their facility and get the same degree that is awarded to the students who have attended physical classes. Here you can take the online calculus 1 course for college credit and will be awarded a transcript from Roger Williams University in Providence, Rhode Island, USA.
Topics Covers in this Course
As mentioned earlier, some basic Calculus topics will be taught in this course. So, the detail of all these is given below:
- Limits and Continuity
In Calculus, a limit is the value of a function approaches to the output of an input value. Limits are widely used in Calculus, mathematical analysis, differential geometry, and continuity. The limits also tell us a function’s behaviour on some particular point, whether it is increasing or decreasing.
In this course, you will see their role in integrals. Generally, there are two types of integrals; one is a definite integral in which both upper and lower limits are involved. The other is indefinite integrals which are expressed without limits. We will also discuss some properties of limits related to their sum, difference, and product.
Derivatives are used in fields other than mathematics like physics, engineering, and statistics. In this portion, we will discuss derivatives of logarithmic functions, trigonometric functions, inverse trigonometric functions, and hyperbolic functions.
Definition of the derivative is very simple, i.e., change of rate of one quantity with respect to the other quantity. Through derivatives, you can compare two quantities even in graphical form for better understanding. Moreover, the area of any surface can also be found by using its rules.
A function is defined as the relationship between quantities such that each input value has a unique output value. Here, you will also learn the concept of the domain, co-domain, and range. In addition, different types of functions like algebraic, inverse, into, onto, one-one, and logarithmic with their wide applications will explore.
You will be taught about the pictorial representation of different functions. Every function, whether linear, quadratic, cubic, or square root, has its unique pictorial form. These all functions are widely used not only in Calculus but also in the other branches of mathematics. So, we will discuss them in detail.
The opposite of derivative is named integration. Integrals are used in finding the area, volume, height, length, and displacement of different objects. You will teach different types of integrals like definite and indefinite. Moreover, some rules will also be discussed, like integration by parts, substitution method, and addition and subtraction of different integrals.
- Differential Equations
Differential equations are the equations that involve at least one differential function in it. These equations are mainly used in the fields of physics and biology other than mathematics. Here different methods and formulas will be used to solve them, like implicit and explicit formulas. Explicit formula solves these equations easily. In addition, its different types, ordinary, partial, linear, non-linear, homogeneous, and non-homogeneous, will also be discussed in detail.
Calculus 1 Course for College Credit is best for students who want to learn calculus but cannot leave their home or city for some solid reasons. We are trying to facilitate such students by launching this distance learning program. A class group will make, and the lectures will be uploaded in this group. Moreover, if students have any queries related to any topic, they can ask and get the solution in no time.