Free online courseCalculus 2
Duration of the online course: 50 hours and 3 minutes
4.75
(8)
Master Calculus 2 with this comprehensive free online course. Topics include logarithmic functions, trigonometric integrals, differential equations, series, and more.
Course Description
Calculus 2 is a comprehensive course designed for students who have completed introductory calculus and are ready to delve deeper into the subject. Spanning a total duration of 50 hours and 3 minutes, this course is perfect for those looking to solidify their understanding of advanced calculus concepts or for anyone aspiring to excel in higher-level mathematics.
Rated an impressive 5 stars out of 5, Calculus 2 is highly regarded among students for its clarity, depth, and well-structured content. The course provides a solid foundation in calculus and is part of the Basic Studies category, specifically under the Calculus subcategory. This makes it suitable for a wide range of learners, from undergraduates looking to bolster their math skills to professionals seeking to refresh their knowledge.
The curriculum of this course is meticulously crafted to cover an array of subjects that are crucial for a deep understanding of calculus. It begins with the fundamental properties and usage of the natural logarithm function, extending into the derivatives of inverse functions. This paves the way to an exploration of the derivatives and integrals of exponential functions, both basic and general types.
Students will also encounter the calculus of inverse trigonometric functions, and engage in a rich discussion on hyperbolic functions. Building upon these foundations, the course covers advanced techniques for evaluating the limits of indeterminate forms and explores various integration methods such as integration by parts, trigonometric integrals, trigonometric substitution, and partial fractions.
Further into the course, students will learn about improper integrals and gain hands-on experience in solving first-order differential equations using separation of variables. The journey continues with an in-depth look at the convergence and divergence of sequences and series, including geometric and harmonic series, and various convergence tests such as the integral, comparison, limit comparison, and alternating series tests.
The course also delves into absolute convergence, ratio tests, and root tests for series, and explains the calculus of power series, providing students with the tools to understand and manipulate these series effectively. Additionally, the representation of functions using Taylor and Maclaurin series, as well as the approximation of functions by Taylor polynomials, are thoroughly discussed.
In its final segments, Calculus 2 introduces parametric equations and their calculus, along with a comprehensive study of polar coordinates and equations. The course culminates with numerical integration techniques, specifically the trapezoidal and Simpson's rule, equipping students with practical skills for real-world applications.
Overall, Calculus 2 is an exceptional course that provides a robust education in advanced calculus, all delivered through engaging lectures and practical examples. Students who complete this course will find themselves well-prepared for further studies in mathematics and related fields.
Conteúdo do Curso
-
Video class: Calculus 2 Lecture 6.1: The Natural Log Function
2h22m
-
Video class: Calculus 2 Lecture 6.2: Derivatives of Inverse Functions
0h44m
-
Exercise: _What does it take for a function to have an inverse?
-
Video class: Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions
1h30m
-
Video class: Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential Functions
1h15m
-
Video class: Calculus 2 Lecture 6.5: Calculus of Inverse Trigonometric Functions
1h52m
-
Video class: Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions
1h16m
-
Exercise: _What are hyperbolic functions?
-
Video class: Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms
1h40m
-
Video class: Calculus 2 Lecture 7.1: Integration By Parts
1h54m
-
Video class: Calculus 2 Lecture 7.2: Techniques For Trigonometric Integrals
2h21m
-
Video class: Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution
2h09m
-
Video class: Calculus 2 Lecture 7.4: Integration By Partial Fractions
2h55m
-
Video class: Calculus 2 Lecture 7.6: Improper Integrals
2h48m
-
Video class: Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables
2h49m
-
Video class: Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences
2h27m
-
Video class: Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Divergence Test
2h01m
-
Video class: Calculus 2 Lecture 9.3: Using the Integral Test for Convergence/Divergence of Series, P-Series
1h11m
-
Exercise: _What is the basic idea behind the integral test for convergence or divergence of a series?
-
Video class: Calculus 2 Lecture 9.4: The Comparison Test for Series and The Limit Comparison Test
1h34m
-
Video class: Calculus 2 Lecture 9.5: Showing Convergence With the Alternating Series Test, Finding Error of Sums
1h19m
-
Exercise: _What is an alternating series?
-
Video class: Calculus 2 Lecture 9.6: Absolute Convergence, Ratio Test and Root Test For Series
1h46m
-
Video class: Calculus 2 Lecture 9.7: Power Series, Calculus of Power Series, Ratio Test for Int. of Convergence
2h29m
This free course includes:
50 hours and 3 minutes of online video course
Exercises to train your knowledge
Certificate of course completion
100% free, from content to certificate
This online course can only be accessed through the Cursa App. Download it using the QR code or the links below:
This online course can only be accessed through the Cursa app. Install it using the links below:
-
Study for free!
Here you never pay! Not even for the certificate, because everything in the app is 100% free!
-
Improve your resume!
There are more than 4,000 free courses for you to study anything that interests you!
-
Free Digital Certificate!
Complete the course and issue your internationally recognized Digital Certificate free of charge.
More free courses at Calculus
Free CourseIntroductory Calculus
5
(1)
40h09m
38 exercises
Free CourseCalculus 1 for beginners
5
(1)
10h40m
6 exercises
Free CourseCalculus 3
4.8
(15)
75h24m
1 exercises
Free CourseCalculus 1
4.63
(60)
44h56m
8 exercises
Free CourseCalculus 1
New course
7h37m
19 exercises
Free CourseCalculus basics
New course
2h42m
17 exercises
Free CourseCalculus
New course
33h57m
34 exercises
Free CourseCalculus I entire course
New course
16h01m
35 exercises
Free CourseCalculus 1 lectures
New course
22h27m
22 exercises
Free CourseIntroductory Calculus
5
(1)
40h09m
38 exercises
Free CourseCalculus 1 for beginners
5
(1)
10h40m
6 exercises
Free CourseCalculus 3
4.8
(15)
75h24m
1 exercises
Free CourseCalculus 1
4.63
(60)
44h56m
8 exercises
Free CourseCalculus 1
New course
7h37m
19 exercises
Free CourseCalculus basics
New course
2h42m
17 exercises
Free CourseCalculus
New course
33h57m
34 exercises
Free CourseCalculus I entire course
New course
16h01m
35 exercises
Free CourseCalculus 1 lectures
New course
22h27m
22 exercises
Download the App now to have access to + 3300 free courses, exercises, certificates and lots of content without paying anything!
-
100% free online courses from start to finish
Thousands of online video courses, audio or text courses.
-
More than 48 thousand free exercises
To test your knowledge during online courses
-
Valid free Digital Certificate with QR Code
Generated directly from your cell phone's photo gallery and sent to your email
Download our app via QR Code or the links below::.
