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Last updated:

September 23, 2023

Duration:

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FREE

This course includes:

Unlimited Duration

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Description

Math 2B: Calculus (Fall 2013, UC Irvine). Instructor: Professor Natalia L. Komarova.

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 Curriculum

  • 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

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