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About this Course

51 students enrolled
6 instructors

Course Description

"Calculus is Easy" is a revolutionary MOOC designed to demystify the concepts of Calculus I, making it accessible and engaging for learners of all backgrounds. This course breaks down the barriers of traditional calculus education, offering a unique blend of intuitive explanations, practical applications, and interactive problem-solving sessions that cater to beginners and those looking to refresh their skills. With a focus on real-world applications, "Calculus I is Easy" ensures that students understand the fundamental principles of calculus and how to apply them effectively in various contexts. Whether you are tackling calculus for the first time or need a comprehensive review, this course promises to make your journey through derivatives, integrals, and limits manageable, enjoyable, and empowering.

Course Learning Outcomes

1 ) Exhibit proficiency in numerical tasks involving differentiation and integration within single-variable calculus.
2 ) Solve problems involving single-variable calculus.
3 ) Explain the fundamental principles and ideas underlying calculus with one variable.

Course Details

STATUS : Open
DURATION : FLEXIBLE
EFFORT : 2 hours a week
MODE : 100% Online
COURSE LEVEL : Beginner
LANGUAGE : English
CLUSTER : Science & Technology ( ST )

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Syllabus

1.1 How to find the domain of a function
1.2 Limits - Computing Limits I
1.3 Limits - Computing Limits II
1.4 Limits - Limits at Infinity. Positive Integer Powers
1.5 Limits - Limits at Infinity: Polynomials
1.6 Limits - Limits at infinity for Rational Functions
1.7 Limits - Limits at Infinity for Radical Functions
1.8 Limits - Limits at Infinity (∞) for Indeterminate form of type Infinity - Infinity (∞ − ∞)
1.9 Continuity

2.1 The Definition of Derivative
2.2 How to Find Derivatives Using the Chain Rule
2.3 Implicit Differentiation
2.4 Equation of Tangent Line
2.5 Local Linear Approximations and Differentials

3.1 The Indefinite Integrals
3.2 Integration by Substitution
3.3 Definite Integral
3.4 Evaluating Definite Integrals by Substitution
3.5 The Second Fundamental Theorem of Calculus
3.6 The Mean-Value Theorem for Integrals