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

## Winter 2005. Tentative Daily Schedule

 01/03 (Mo) Introduction. 01/04 (Tu) Functions. Trig functions (Sec. 2.1, 2.2, 2.3). 01/06 (Th) Introduction to limits (Sec. 2.4). 01/07 (Fri) WeBWorK. 01/10 (Mo) Rigorous study of limits (Sec. 2.5). 01/11 (Tu) Rigorous study of limits (Sec. 2.5). 01/13 (Th) Limit theorems (Sec. 2.6). 01/14 (Fri) Limits involving trigonometric functions (Sec. 2.7). 01/17 (Mo) NO CLASSES 01/18 (Tu) Limits at infinity, infinite limits (Sec. 2.8). 01/20 (Th) Continuity (Sec. 2.9) 01/21 (Fri) Slope of a tangent line and instantaneous velocity (Sec. 3.1). 01/24 (Mo) The derivative (Sec. 3.2). 01/25 (Tu) Rules for finding derivatives (Sec. 3.3). 01/27 (Th) Derivatives of trigonometric functions (Sec. 3.4). 01/28 (Fri) The chain rule (Sec. 3.5). 01/31 (Mo) The chain rule (Sec. 3.5). 02/01 (Tu) The chain rule (Sec. 3.5). 02/03 (Th) Review. 02/04 (Fri) Midterm #1. 02/07 (Mo) Leibniz notation. Higher derivatives (Sec. 3.6, 3.7). 02/08 (Tu) Implicit differentiation (Sec. 3.8). 02/10 (Th) Implicit differentiation (Sec. 3.8). 02/11 (Fri) Related rates (Sec. 3.9). 02/14 (Mo) Related rates (Sec. 3.9). 02/15 (Tu) Approximation (Sec. 3.10). 02/17 (Th) Maxima and minima (Sec. 4.1). 02/18 (Fri) Maxima and minima (Sec. 4.1). 02/21 (Mo) Monotonicity and concavity (Sec. 4.2) 02/22 (Tu) Local maxima and minima (Sec. 4.5) 02/24 (Th) More max-min problems (Sec. 4.4). 02/25 (Fri) More max-min problems (Sec. 4.4). 02/28 (Mo) Sophisticated graphing (Sec. 4.6). 03/01 (Tu) The Mean-Value Theorem (Sec. 4.7). 03/03 (Th) Review. 03/04 (Fri) Midterm #2. 03/07 (Mo) L'Hopital's rule (Sec. 9.1, 9.2) 03/08 (Tu) Antiderivatives (Sec. 5.1). 03/10 (Th) Review for the final. 03/11 (Fri) Review for the final.