Math 2A: Calculus (Fall 2013, UC Irvine) | Mathematics

Math 2A: Calculus

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.

Functions

Lecture 01 - Functions

Lecture 02 - Functions and Transformations

Lecture 03 - Functions and Slopes

Lecture 04 - Inverse Functions

Lecture 05 - Tangents, Slopes, and Limits

Lecture 06 - Calculating Limits

Lecture 07 - Continuity

Lecture 08 - Intermediate Value Theorem, Limits of Infinity

Lecture 09 - Derivatives

Lecture 10 - Derivatives, Part II

Lecture 11 - Midterm Review

Lecture 12 - Calculating Derivatives

Lecture 13 - Trigonometric Derivatives

Lecture 14 - Chain Rule

Lecture 15 - Implicit Differentiation

Lecture 16 - Derivatives of Logarithm Functions

Lecture 17 - Exponential Growth

Lecture 18 - Related Rates

Lecture 19 - Compound Interest

Lecture 20 - Maximum and Minimum Values

Lecture 21 - Mean Value Theorem

Lecture 22 - How derivatives affect the shape of a graph

Lecture 23 - L'Hospital's Rule

Lecture 24 - Curve Sketching

Lecture 25 - Optimization

Lecture 26 - Antiderivatives

Lecture 27 - Final Exam Review

References

MATH 2A LEC A: Calculus (Fall Qtr 2013)
Instructor: German Andres Enciso Ruiz. Official UCI Calculus Page. Lecture Videos. 2A Syllabus. Midterm 2 Solutions.