Math 2A: Calculus (Fall 2013, UC Irvine). Instructor: Professor German A. Enciso.

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September 23, 2023

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September 23, 2023

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Description

Math 2A: Calculus (Fall 2013, UC Irvine). Instructor: Professor German A. Enciso.

This course offers an introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. It also deals with exponential and logarithm functions. Course Textbook - Calculus: Early Transcendentals by James Stewart, 7th Edition.

Course Curriculum

  • Lecture 01 – Functions Unlimited
  • Lecture 02 – Functions and Transformations Unlimited
  • Lecture 03 – Functions and Slopes Unlimited
  • Lecture 04 – Inverse Functions Unlimited
  • Lecture 05 – Tangents, Slopes, and Limits Unlimited
  • Lecture 06 – Calculating Limits Unlimited
  • Lecture 07 – Continuity Unlimited
  • Lecture 08 – Intermediate Value Theorem, Limits of Infinity Unlimited
  • Lecture 09 – Derivatives Unlimited
  • Lecture 10 – Derivatives, Part II Unlimited
  • Lecture 11 – Midterm Review Unlimited
  • Lecture 12 – Calculating Derivatives Unlimited
  • Lecture 13 – Trigonometric Derivatives Unlimited
  • Lecture 14 – Chain Rule Unlimited
  • Lecture 15 – Implicit Differentiation Unlimited
  • Lecture 16 – Derivatives of Logarithm Functions Unlimited
  • Lecture 17 – Exponential Growth Unlimited
  • Lecture 18 – Related Rates Unlimited
  • Lecture 19 – Compound Interest Unlimited
  • Lecture 20 – Maximum and Minimum Values Unlimited
  • Lecture 21 – Mean Value Theorem Unlimited
  • Lecture 22 – How Derivatives Affect the Shape of a Graph Unlimited
  • Lecture 22 – How Derivatives Affect the Shape of a Graph Unlimited
  • Lecture 23 – L’Hospital’s Rule Unlimited
  • Lecture 24 – Curve Sketching Unlimited
  • Lecture 25 – Optimization Unlimited
  • Lecture 26 – Antiderivatives Unlimited
  • Lecture 27 – Final Exam Review Unlimited

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