Math 151: Calculus and Analytic Geometry
(Instructor: Gabriela Popa)

Winter 2005-2006. Tentative Daily Schedule

01/02 (Mo)
NO CLASSES 		01/04 (We)
Introduction. Functions. 		01/06 (Fri)
WebWork. Trig functions
(Sec. 2.1, 2.2, 2.3).
01/09 (Mo)
Introduction to limits
(Sec. 2.4). 		01/11 (We)
Quiz # 1 (2.1-2.3)
  • Rigorous study of limits
    (Sec. 2.5).
    		•  01/13 (Fri)
    Limit theorems
    (Sec. 2.6).
    01/16 (Mo)
    NO CLASS
    		01/18 (Wed)
    Quiz # 2 (2.4-2.6)
  • Limits involving trigonometric functions
    (Sec. 2.7).
    		•  01/20 (Fr)
    Limits at infinity, infinite limits. Continuity
    (Sec. 2.8, 2.9).
    0123 (Mo)
    Slope of a tangent line and instantaneous velocity
    (Sec. 3.1).     		01/25 (Wed)
    The derivative (Sec. 3.2).     		01/27 (Fri)
    Midterm 1 (2.1-3.3)
    01/30 (Mo)
    Rules for finding derivatives (Sec. 3.3).     		02/01 (Wed)
    Quiz # 3 (2.9-3.3)
  • Derivatives of trigonometric functions
    (Sec. 3.4).
    		• 02/03 (Fri)
    The chain rule (Sec. 3.5).
    Practice problems
    02/06 (Mo)
    Leibniz notation. Higher derivatives (Sec. 3.6, 3.7).     		02/08 (We)
    Quiz # 4 (3.4-3.7)
  • Implicit differentiation (Sec. 3.8).
    		•  02/10 (Fri)
    Related rates (Sec. 3.9). Practice problems
    02/13 (Mo)
    Approximation.
    Maxima and minima
    (Sec. 3.10, 4.1).     		02/15 (We)
    Quiz # 5(3.7-3.9)
  • Maxima and minima
    (Sec. 4.1).
    		•  02/17 (Fri)
    Monotonicity and concavity
    (Sec. 4.2)
    02/20 (Mo)
    Local maxima and minima
    More max-min problems (Sec. 4.4, 4.5).     		02/22 (We)
    More max-min problems (Sec. 4.4).
    Review for midterm 2.     		02/24 (Fri)
    Midterm #2. (3.1-3.10) Practice problems
    02/27 (Mo)
    More max-min problems (Sec. 4.4).     		03/01 (We)
    Quiz # 6 (4.1-4.4)
  • Sophisticated graphing (Sec. 4.6).
    		•  03/03 (Fri)
    The Mean-Value Theorem (Sec. 4.7).
    03/06 (Mo)
    Antiderivatives (Sec. 5.1).     		03/08 (We)
    Quiz # 7 (4.5-4.7)
  • L'Hopital's rule
    (Sec. 9.1, 9.2)
    		•  03/10 (Fri)
    Review for the final.
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