Update December 16 2020: all slides (600 page PDF, careful: 500 MBytes!)
This website is to keep me (Oliver) organized and in order not to have to email around too much and have all links on one page and also in order to have a backup refereal in case of technology failure. You can reach me always by email knill@math.harvard.edu. This semester I have by default open office doors Tuesday/Thurday 9-10 AM. You should know the zoom link, otherwise email.

# Announcements

 Week 13 features the method of substitution and a final wrap-up lecture. Exam 3 takes place December 10 to December 12 (12 PM EST) with a 4 hour window to complete it. The focus of the exam is on Lessons 24-33. Week 12 features the fundamental theorem of calculus after reviewing some properties of the Riemann integral. Included in this folder is also the Monday, November 23 lecture before thanksgiving. Week 11 wraps up limits and deals then mostly with integration. Week 10 deals with Hopital's rule and comparing rates. This is also an exam week. Week 9 covers more related rates, and how to compute the derivatives of inverse trig functions. The last lecture of Friday reviews some related rates and extrema problems. Week 8: does more extremization (now also using all differentiation rules), then implicit differentiation and finally logarithmic differentiation. Week 7: is dedicated to differentiation rules. The product rule, the reciprocal rule and the quotient rule. The second lecture features the chain rule. Week 6: is dedicated to extremization. Critical points f'(x)=0 are candidates for maxima and minima. We also look at the Bolzano extremal value theorem for continuous functions on an interval and then some applications. Week 5: we first look at linearity and the power rule and how to plot functions by using the signs of f,f' and f'' the second lecture features linearization and the exponential function. The third lecture initiates the second project. Exam week! Week 4: In this fourth week, we look more about how to compute limits, compute limits for x going to infinity and then review again the relations between functions, its derivative and its second derivative. Week 3: The themes are limits and continuity. There are three lectures We first look at the derivative as a function, then look closer at limits and then define continuity and see how it can fail. Week 2: The theme is rate of change. There are two lectures: in the Wednesday 9/9 lecture, we look at average rate of change and instantaneous rate of change graphically as the slope of tangent lines. On the Friday 9/11 lecture, the definition and the interpretation of the derivative appear. Week 1: The theme is modeling with functions. There are two lectures. In the Wednesday 9/2 lecture, we get to know each other, and start to look at a problem. In the Friday 9/4 lecture, we do more modeling.
 McKayley Oliver Jaxson