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Math 2B: Calculus (Fall 2013, UC Irvine). Instructor: Professor Natalia L. Komarova.
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English [CC]
FREE
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Description
This course focuses on integral calculus and its applications, and infinite sequences and series. Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations. Course Textbook - Calculus: Early Transcendentals by James Stewart, 7th Edition.
Course content
- Lecture 01 – Course Introduction and Antiderivative Unlimited
- Lecture 03 – Definite Integral Unlimited
- Lecture 04 – The Fundamental Theorem of Calculus Unlimited
- Lecture 05 – Indefinite Integral and The Net Change Theorem Unlimited
- Lecture 06 – The Substitution Rule Unlimited
- Lecture 07 – Areas Between Curves Unlimited
- Lecture 08 – Calculating the Volume of Solids Unlimited
- Lecture 09 – Midterm Review Unlimited
- Lecture 10 – Integration by Parts Unlimited
- Lecture 11 – Trigonometric Integrals Unlimited
- Lecture 12 – Trigonometric Substitution Unlimited
- Lecture 13 – Integration by Partial Fractions Unlimited
- Lecture 14 – Strategy for Integration Unlimited
- Lecture 15 – Indeterminate Forms and L’Hospital’s Rule Unlimited
- Lecture 16 – Improper Integrals Unlimited
- Lecture 17 – Arc Length, Review Integration Techniques Unlimited
- Lecture 18 – Midterm II Review Unlimited
- Lecture 19 – Sequences Unlimited
- Lecture 20 – Series Unlimited
- Lecture 21 – Integral Test and Estimates of Sums Unlimited
- Lecture 22 – The Comparison Test Unlimited
- Lecture 23 – The Comparison Test/ Alternating Series Test, Part II Unlimited
- Lecture 24 – Strategies for Testing Series Unlimited
- Lecture 25 – Power Series Unlimited
- Lecture 25 – Power Series Unlimited
- Lecture 26 – Representing Functions as Power Series Unlimited
- Lecture 27 – Taylor Series and Maclaurin Series Unlimited
- Lecture 28 – Final Review Unlimited
Instructor
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