Week  Topics  Homework  Relevant Videos 

1/22  Administrivia What is calculus and why do you care? 1.11.6, 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 15minute 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 Thursday morning that week (Thu. 2/22) 
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 2.12.6 here is more information about the exam 2.8 What does f' say about f? 
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 
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 
Watch the idea of the chain rule video. Optionally, you can watch a twopart 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 

3/12  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 
Lecture:Implicit Differentiation Lecture:Derivative of logarithm and applications 

3/26  3.7 Logarithmic differentiation Review midterm 2 Thursday, 3/29 8:45pm covers chapter 3 
Lecture:Derivatives of inverse trig, logarithmic differentiation Lecture:Related Rates Lecture:more related rates, local max/min 

4/2  3.9 Linear approximations and differentials 4.1 Related rates 4.2 Maximum and Minimum values 
Lecture:Max/Min and curve sketching Lecture:Midterm II review 

4/9  4.3,4.4 Curve sketching 
Lecture:Linear Approximations and differentials Lecture:Derivatives and the shape of curves 

4/16  4.6 Optimization problems  Lecture:Optimization word problems Lecture:more optimization, some review 

4/23  Part I of final in Frey 109. 4.5 L'Hospital's rule 4.7 Newton's method 
Lecture:l'Hopital's rule, Newton's method Lecture:Antiderivatives 

4/30  4.8 Antiderivatives Review 
Lecture:some review for final Lecture:more review 

5/7  Final Cumulative Wednesday, May 11, 8:0010:45am 
Lecture:Final Review Session 