Learn Integral Calculus

Description

In this course, you will learn :

• Applications of infinite sums
• Applications of integrals
• Convergence tests
• Integration by parts
• Partial fractions
• Polynomial integrals
• Power series
• Riemann sums
• Substitution rule
• The Fundamental Theorem
• Transcendental integrals
• Trigonometric integrals

Syllabus :

1. Integration Techniques

• First Calculations
• The Fundamental Theorem of Calculus
• Integrating Polynomials
• Substitution

 

2. Advanced Integration

• Integration by Parts
• Basics of Partial Fractions
• Trigonometric Integrals
• Trig Substitution

 

3. Integral Applications

• Area and Probability
• Calculating Volume
• Arc Length and Surface Area
• Integration in Physics I

 

4. The Idea of Infinite Sums

• Zeno's Paradox & Sums
• Sums and Sigma Notation
• Secret Identities

 

5. Infinite Series

• Converging Sums
• Ratio and Root Tests
• The Integral Test
• Rearrangements: 0=1?

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