| Week | Topics | Homework | Relevant Videos |
|---|---|---|---|
| 1/22 | 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. 1/31 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). If you need more review of trigonometry, you might find these chapters from David Kahn's Trig book helpful. |
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. |
| 1/29 | 2.1 The tangent and velocity problems 2.2 The limit of a function 2.3 Calculating Limits |
HW2 on WebAssign, Due Wed. 2/7 at 9am. Paper homework "Cardiac" due in recitation during the week of 2/5 |
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 |
| 2/5 | 2.5 Limits involving infinity 2.4 Continuity |
HW3 on WebAssign, Due Wed. 2/14 at 9am. Paper homework "Lim" due in recitation during the week of 2/12 |
Lecture:Limits and Continuity |
| 2/12 | 2.6 Derivatives and rates of change. 2.7 The derivative as a function |
HW4a on WebAssign, Due Mon. 2/19 at 9am. Also, the second half of the assignment, HW4b on WebAssign, due on Saturday morning that week (Sat. 2/24) |
A short video on the definition of the derivative. Lecture:The definition of the derivative |
| 2/19 | midterm 1 Monday, 2/19 8:45pm covers 2.1-2.6 here is more information about the exam 2.8 What does f' say about f? |
HW5 on WebAssign, Due Wed. 2/28 at 9am. |
Lecture:The derivative as a function, and the relation of f' and f |
| 2/26 | 3.1 Derivatives of polynomials and exponentials 3.2 The product and quotient rules |
HW6 on WebAssign, Due Wed. 3/7 at 9am. |
A short video on exponentials Lecture:Derivatives of polynomials (the power rule) Lecture:The product and quotient rules |
| 3/5 | 3.3 Derivatives of trigonometric functions 3.4 The chain rule |
HW7 on WebAssign, originally due Wed. 3/21 (after spring break) at 10am, extended to Friday 3/23 at 10am Paper homework "Flu" due in recitation during the week of 3/19 |
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:Derivatives of trigonometric functions Lecture:The Chain Rule |
| 3/12 | Spring Break | This is not the kind of spring break you want. | |
| 3/19 | 3.5 Implicit differentiation 3.6 Inverse trigonometric functions and their derivatives 3.7 Derivatives of logarithmic functions |
HW8 on WebAssign, Due Wed. 3/28 at 9am. Paper homework "Wiggle" due in recitation during the week of 3/26 |
Lecture:Implicit Differentiation Lecture:Derivative of logarithm and applications Lecture:Derivatives of inverse trig, logarithmic differentiation |
| 3/26 | 3.7 Logarithmic differentiation Review midterm 2 Thursday, 3/29 8:45pm covers chapter 3 (more information about the exam here) |
HW9 on WebAssign, Due Wed. 4/4 at 9am. |
Lecture:Midterm II review |
| 4/2 | 3.9 Linear approximations and differentials 4.1 Related rates |
HW10 on WebAssign, Due Wed. 4/11 at 9am. Paper homework "Appx" due in recitation during the week of 4/9 |
Lecture:Linear Approximations and differentials Lecture:Related Rates Lecture:more related rates, local max/min |
| 4/9 | 4.2 Maximum and Minimum values 4.3,4.4 Curve sketching |
HW11 on WebAssign, Due Wed. 4/18 at 9am. |
Lecture:Max/Min and curve sketching Lecture:Derivatives and the shape of curves |
| 4/16 | 4.6 Optimization problems | HW12 on WebAssign, Due Wed. 4/25 at 9am. Paper homework "Box" due in recitation during the week of 4/30 |
Lecture:Optimization word problems Lecture:more optimization, some review |
| 4/23 | Part I of final in Frey 109. More information is here. 4.5 L'Hospital's rule 4.7 Newton's method |
HW13 on WebAssign, Due Fri. 5/4 at 9am. Remember that Paper homework "Box" is due in recitation during the week of 4/30 |
Lecture:l'Hopital's rule, Newton's method Lecture:Antiderivatives |
| 4/30 | 4.8 Antiderivatives Review |
Extra Credit Problems on WebAssign, complete before Tue. 5/8 at 1pm. |
Lecture:some review for final Lecture:more review |
| 5/7 | Final Cumulative Wednesday, May 9, 8:00-10:45am more information |
Lecture:Final Review Session |