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

Winter 2004. Tentative Daily Schedule

 01/05 (Mo) Introduction. 01/06 (Tu) Functions (Sec. 2.1, 2.2). 01/08 (Th) Trig functions (Sec. 2.3). 01/09 (Fri) Introduction to limits (Sec. 2.4). 01/12 (Mo) Rigorous study of limits (Sec. 2.5). 01/13 (Tu) Limit theorems (Sec. 2.6). 01/15 (Th) Limits involving trigonometric functions (Sec. 2.7). 01/16 (Fri) Quiz #1. 01/19 (Mo) NO CLASSES 01/20 (Tu) Limits at infinity, infinite limits. Continuity (Sec. 2.8, 2.9). 01/22 (Th) Slope of a tangent line and instantaneous velocity (Sec. 3.1). 01/23 (Fri) Quiz #2. 01/26 (Mo) The derivative (Sec. 3.2). 01/27 (Tu) Rules for finding derivatives (Sec. 3.3). 01/29 (Th) Review. 01/30 (Fri) Midterm #1. 02/02 (Mo) Derivatives of trigonometric functions (Sec. 3.4). 02/03 (Tu) The chain rule (Sec. 3.5). 02/05 (Th) The chain rule (Sec. 3.5). 02/06 (Fri) Quiz #3. 02/09 (Mo) Leibniz notation. Higher derivatives (Sec. 3.6, 3.7). 02/10 (Tu) Implicit differentiation (Sec. 3.8). 02/12 (Th) Related rates (Sec. 3.9). 02/13 (Fri) Quiz #4. 02/16 (Mo) Related rates (Sec. 3.9). 02/17 (Tu) Approximation (Sec. 3.10). 02/19 (Th) Maxima and minima (Sec. 4.1). 02/20 (Fri) Quiz #5. 02/23 (Mo) Monotonicity and concavity (Sec. 4.2) 02/24 (Tu) Local maxima and minima (Sec. 4.5) 02/26 (Th) Review. 02/27 (Fri) Midterm #2. 03/01 (Mo) More max-min problems (Sec. 4.4). 03/02 (Tu) Sophisticated graphing (Sec. 4.6). 03/04 (Th) The Mean-Value Theorem (Sec. 4.7). 03/05 (Fri) Quiz #6. 03/08 (Mo) L'Hopital's rule (Sec. 9.1, 9.2) 03/09 (Tu) Antiderivatives (Sec. 5.1). 03/11 (Th) Review for the final. 03/12 (Fri) Review for the final.