MAT125: Calculus A

Schedule for MAT125, Spring 2016

Week	Topics	Homework	Relevant Videos
1/26	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. 2/4 at 9am. Paper homework 1 deferred to next week because of the storm.	Radians and Degrees Basic Trigonometry Left-hand trick to remember trig values Exponential and Logarithmic equations
2/2	2.1 The tangent and velocity problems 2.2 The limit of a function 2.3 Calculating Limits	HW2 on WebAssign, Due Wed. 2/11 at 9am. Paper homework 1 due in recitation during the week of 2/9	Watch the intro to limits video before the first lecture this week. here is an optional video on the definition of the limit.
2/9	2.5 Limits involving infinity 2.4 Continuity	HW3 on WebAssign, Due Wed. 2/18 at 9am. Paper homework 2 due in recitation during the week of 2/16
2/16	2.6 Derivatives and rates of change. 2.7 The derivative as a function 2.8 What does f' say about f?	HW4 on WebAssign, Due Wed. 2/25 at 9am. Paper homework 3 due in recitation during the week of 2/23. Even if your recitation is after the midterm, you should do the paper homework before the midterm	Watch the definition of the derivative video before the first lecture this week.
2/23	3.1 Derivatives of polynomials (the power rule) midterm 1 Thursday, 2/26 8:45pm covers chapter 2 here is more information about the exam	HW5 on WebAssign, Due Wed. 3/4 at 9am. No paper homework this week.
3/2	3.1 Derivatives of exponentials 3.2 The product and quotient rules 3.3 Derivatives of trigonometric functions Friday, March 6 follows a Monday schedule	HW6 on WebAssign, Due Wed. 3/11 at 9am. No paper homework this week, either.	Watch the exponentials video before the first lecture this week. While I meant to make a video about the derivative of the sine and cosine, I didn't have time. So, here is one by Gilbert Strang, from MIT, which covers pretty much what I was going to say (and a bit more). The "hard part" in the previous video is the limit of sin(x)/x as x goes to zero. Here's another (shorter) video about that.
3/9	3.4 The chain rule 3.5 Implicit differentiation	HW7 on WebAssign, Due Wed. 3/25 at 9am. Paper homework 4 due in recitation during the week of 3/23. Note that these are due after Spring Break	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.
3/16	Spring Break
3/23	3.6 Inverse trigonometric functions and their derivatives 3.7 Derivatives of logarithmic functions Friday, March 27 follows a Monday schedule	HW8 on WebAssign, Due Tues. 3/31 at 9am. Note the early due date! No paper homework this week.
3/30	Review midterm 2 Tuesday, 3/31 8:45pm covers chapter 3.1-3.7 (more information about the exam here) 3.9 Linear approximations and differentials	HW9 on WebAssign, Due Wed. 4/8 at 9am. No paper homework this week.
4/6	4.1 Related rates 4.2 Maximum and Minimum values	HW10 on WebAssign, Due Wed. 4/15 at 9am. Paper homework RR due in recitation during the week of 4/20
4/13	4.3,4.4 Curve sketching 4.6 Optimization problems	HW11 on WebAssign, Due Fri. 4/24 at 9am. note changed date! Paper homework MM due in recitation during the week of 4/27
4/20	4.6 Optimization problems (continued) 4.5 L'Hospital's rule	No webassign this week
4/27	Part I of final during recitation in Frey 109. More information is here. 4.7 Newton's method 4.8 Antiderivatives	HW12 on WebAssign, Due Wed. 5/6 at 9am. No paper homework this week.
5/4	Review
5/11	Final Cumulative Wednesday, May 13, 8:00-10:45am more information

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Last modified on Sun, 26 Apr 2015 at 8:08pm