# Math 151: Calculus and Analytic Geometry (Instructor: Sergei Chmutov)

## Autumn 2002. Tentative Daily Schedule

 09/23 (Mo) NO CLASSES 09/24 (Tu) NO CLASSES 09/26 (Th) Introduction. 09/27 (Fri) Trig, Exp and Log functions (Ch. 1). 09/30 (Mo) Limits and continuity (Sec. 2.1). 10/01 (Tu) Definition of a limit (Sec. 2.2). 10/03 (Th) Limit theorems and continuity (Sec. 2.3). 10/04 (Fri) Quiz #1. 10/07 (Mo) The squeezing theorem and substitution rule (Sec. 2.4). 10/08 (Tu) One-sided and infinite limits (Sec. 2.5). 10/10 (Th) Intermediate value theorem (Sec. 2.6). 10/11 (Fri) Quiz #2. 10/14 (Mo) The derivative (Sec. 3.1). 10/15 (Tu) Derivatives of simplest functions (Sec. 3.2). 10/17 (Th) Derivatives of combinatations of functions (Sec. 3.3). 10/18 (Fri) Quiz #3. 10/21 (Mo) The chain rule (Sec. 3.4). 10/22 (Tu) The chain rule (Sec. 3.4). 10/24 (Th) Review. 10/25 (Fri) Midterm #1. 10/28 (Mo) Higher derivatives (Sec. 3.5). 10/29 (Tu) Implicit differentiation (Sec. 3.6). 10/31 (Th) Related rates (Sec. 3.7). 11/01 (Fri) Quiz #4. 11/04 (Mo) Approximation (Sec. 3.8). 11/05 (Tu) Maximim and minimum values (Sec. 4.1). 11/07 (Th) The mean value theorem (Sec. 4.2) 11/08 (Fri) Quiz #5. 11/11 (Mo) NO CLASSES 11/12 (Tu) Applications of the mean value theorem (Sec. 4.3). 11/14 (Th) Exponential growth and decay (Sec. 4.4). 11/15 (Fri) Quiz #6. 11/18 (Mo) The first and second derivative tests (Sec. 4.5) 11/19 (Tu) Extreme values on an arbitrary integral (Sec. 4.6). 11/21 (Th) Review. 11/22 (Fri) Midterm #2. 11/25 (Mo) Concavity and inflection points (Sec. 4.7). 11/26 (Tu) Limits at infinity (Sec. 4.8). 11/28 (Th) NO CLASSES 11/29 (Fri) NO CLASSES 12/02 (Mo) L'Hopital's rule (Sec. 6.6) 12/03 (Tu) Graphing (Sec. 4.9). 12/05 (Th) Review for the final. 11/29 (Fri) Review for the final.