Week | Topics | Homework | Relevant Videos |
---|---|---|---|
1/25 | Administrivia What is calculus and why do you care? 1.1-1.6, Appendix A, B, C Review of precalculus: functions, polynomials, rational functions, absolute value, trigonometry, exponentials, inverse functions, logarithms. |
HW1 on WebAssign, Due Wed. 2/3 at 9am. Here is a collection of sample precalculus questions you should be able to do, courtesy Andrew Klampert. (Not to hand in-- here are the solutions). |
Here is a single precalculus review lecture If you need more detail on anything, there are lots of videos from MAT123 to help review precalculus topics. |
2/1 | 2.1 The tangent and velocity problems 2.2 The limit of a function 2.3 Calculating Limits |
HW2 on WebAssign, originally Due Wed. 2/10 at 9am, deferred to friday 2/12 at 11pm due to snow Paper homework "CM" due in recitation during the week of 2/8 monday recitations due on 2/15 instead |
Here is a 15-minute introduction to limits video, and an optional video giving a definition of limits. Lecture:Tangents, velocity, and limits Lecture:Limits and Limits involving infinity |
2/8 | 2.5 Limits involving infinity 2.4 Continuity |
HW3 on WebAssign, Due Wed. 2/17 at 9am. Paper homework "Lim" due in recitation during the week of 2/15 |
Lecture:Limits and Continuity |
2/15 | 2.6 Derivatives and rates of change. | HW4 on WebAssign, Due Wed. 2/24 at 9am. Since material on Webassign#4 is on the midterm, you should try to complete this assignment by Monday |
A short video on the definition of the derivative. Lecture:The definition of the derivative |
2/22 | midterm 1 Monday, 2/22 8:45pm covers 2.1-2.6 here is more information about the exam 2.7 The derivative as a function 2.8 What does f' say about f? |
HW5 on WebAssign, Due Wed. 3/2 at 9am. Paper homework "Cup" due in recitation during the week of 2/29 |
Lecture:The derivative as a function, and the relation of f' and f |
2/29 | 3.1 Derivatives of polynomials and exponentials 3.2 The product and quotient rules |
HW6 on WebAssign, Due Wed. 3/9 at 9am. |
A short video on exponentials Lecture:Derivatives of polynomials (the power rule) Lecture:The product and quotient rules |
3/7 | 3.3 Derivatives of trigonometric functions 3.4 The chain rule |
HW7 on WebAssign, Due Wed. 3/23 at 9am. |
Watch the idea of the chain rule video. Optionally, you can watch a two-part video from YouTube on proving the chain rule: first, a wrong proof that gives the right idea, followed by one that fixes the proof. Lecture:The Chain Rule Lecture:Derivatives of trigonometric functions |
3/14 | Spring Break | ||
3/21 | 3.5 Implicit differentiation 3.6 Inverse trigonometric functions and their derivatives 3.7 Derivatives of logarithmic functions |
HW8 on WebAssign, Due Wed. 4/30 at 9am. Paper homework "Wiggle" due in recitation during the week of 3/28 typo in #2 fixed on 4/23 |
Lecture:Implicit Differentiation Lecture:Derivative of logarithm and applications |
3/28 | 3.7 Logarithmic differentiation 4.1 Related rates 4.2 Maximum and Minimum values |
HW9 on WebAssign, Due Wed. 4/6 at 9am. |
Lecture:Derivatives of inverse trig, logarithmic differentiation Lecture:Related Rates Lecture:more related rates, local max/min |
4/4 | Review midterm 2 Thursday, 4/7 8:45pm covers chapter 3, 4.1, 4.2 (more information about the exam here) |
study for the midterm. Relax on the weekend. | Lecture:Max/Min and curve sketching Lecture:Midterm II review |
4/11 | 3.9 Linear approximations and differentials 4.3,4.4 Curve sketching |
HW10 on WebAssign, Due Wed. 4/20 at 9am. Paper homework "Appx" due in recitation during the week of 4/18 |
Lecture:Linear Approximations and differentials Lecture:Derivatives and the shape of curves |
4/18 | 4.6 Optimization problems | HW11 on WebAssign, Due Wed. 4/27 at 9am. Paper homework "Box" due in recitation during the week of 4/25 |
Lecture:Optimization word problems Lecture:more optimization, some review |
4/25 | Part I of final in Frey 109. More information is here. 4.5 L'Hospital's rule 4.7 Newton's method |
HW12 on WebAssign, Due Wed. 5/4 at 9am. |
Lecture:l'Hopital's rule, Newton's method Lecture:Antiderivatives |
5/2 | 4.8 Antiderivatives Review |
HW13 on WebAssign, Due Wed. 5/11 at 8am. |
Lecture:some review for final Lecture:more review |
5/9 | Final Cumulative Wednesday, May 11, 8:00-10:45am more information |
Lecture:Final Review Session |