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
|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
|3/21||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: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:more related rates, local max/min
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
|HW13 on WebAssign, Due Wed. 5/11 at 8am.
||Lecture:some review for final
Wednesday, May 11, 8:00-10:45am
|Lecture:Final Review Session|