Math 2A: Calculus I (English)

Course Information

UCI Math 2A is the first quarter in Single-Variable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.

Mathematics Dept. | Physical Sciences Sch. | University of California, Irvine
Keywords: calculus,single-variable,functions,inverse functions,derivatives,chain rule,compound interest,Mean Value Theorem,L'Hospital's Rule,antiderivatives,limits of infinity
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Author:
German Andres Enciso Ruiz
Title:
Assistant Professor
Department:
Mathematics

Creative Commons License
Math 2A. Calculus by German Andres Enciso Ruiz is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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Lectures

Week 1

Math 2A. Lec. 01. Calculus: Functions (English)
Math 2A. Lec. 02. Calculus: Functions and Transformations (English)
Math 2A. Lec. 03. Calculus: Functions and Slopes (English)
Math 2A. Lec. 04. Calculus: Inverse Functions (English)

Week 2

Math 2A. Lec. 05. Calculus: Tangents, Slopes, and Limits (English)
Math 2A. Lec. 06. Calculus: Calculating Limits (English)
Math 2A. Lec. 07. Calculus: Continuity (English)

Week 3

Math 2A. Lec. 08. Calculus: Intermediate Value Theorem, Limits of Infinity (English)
Math 2A. Lec. 09. Calculus: Derivatives (English)
Math 2A. Lec. 10. Calculus: Derivatives, Part II (English)

Week 4

Math 2A. Lec. 11. Calculus: Midterm Review (English)
Math 2A. Lec. 12. Calculus: Calculating Derivatives (English)

Week 5

Math 2A. Lec. 13. Calculus: Trigonometric Derivatives (English)
Math 2A. Lec. 14. Calculus: Chain Rule (English)
Math 2A. Lec. 15. Calculus: Implicit Differentiation (English)

Week 6

Math 2A. Lec. 16. Calculus: Section 3.6 (English)
Math 2A. Lec. 17. Calculus. Exponential Growth (English)
Math 2A. Lec. 18. Calculus: Related Rates (English)

Week 7

Math 2A. Lec. 19. Calculus: Compound Interest (English)

Week 8

Math 2A. Lec. 20. Calculus: Max/Min (English)
Math 2A. Lec. 21. Calculus: Mean Value Theorem (English)
Math 2A. Lec. 22. Calculus: Review (English)

Week 9

Math 2A. Lec. 23. Calculus: L'Hospital's Rule (English)
Math 2A. Lec. 24. Calculus: Curve Sketching (English)

Week 10

Math 2A. Lec. 25. Calculus: Optimization (English)
Math 2A. Lec. 26. Calculus: Antiderivatives. (English)
Math 2A. Lec. 27. Calculus: Final Exam Review (English)