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