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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.