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Week 10/exam2Hints.md

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+Exam 2 will be on Friday, November 2.  It will cover the following sections of Stewart: 2.7, 2.8, 3.1-3.7, 3.9, 3.10, 4.1,4.3.  There will be particular emphasis on the skill of calculating derivatives using the rules for differentiation (Stewart, Chapter 3 Review, p. 267, 1-41.)  Additionally, you should be able to:
+
+    State the difference between dy and dy/dx
+    State the definition of the derivative as a limit (2.7-2.8), and calculate it in simple cases.
+    Given a collection of plots, be able to match a function with its derivative.
+    Be able to compute the differential (or derivative) of any function.  (Chapter 3 review problems 1-50).
+    Use differentials to obtain useful approximations.  For example, "Use differentials to estimate the cube root of 8.1 to three decimal places."  (3.10: 23-31,36,39)
+    Find the slope of an implicitly-defined curve at a specific point.  (3.5: 5-20)
+    Find the equation of the tangent line to an implicitly-defined curve at a specific point.  (3.5: 25-32)
+    Given a relation between time-dependent quantities (like 3.9: 1,2,3,4,5,6,7,9,10,13,14), be able to set up the equations that relate the rates of change of those quantities.  Also, be able to solve for any unknown rates in terms of given rates.
+    Given a differentiable  function and a compact interval, be able to find the absolute maximum and minimum values using the table method. (4.1: 47-62)
+    Given a differentiable function, find the stationary points and use the table method to classify them as local maxima, local minima, or neither. (4.1: 15-28 -- use "table method", 4.3: 9-18)

Week 5/exam1Hints.md

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+The first exam will cover chapters 1 and 2 of Stewart, up to section 2.6.
+
+The expectation is that you would have been practicing throughout the term on the posted problems in the WebAssign system.  But if you've not been doing that, then here are some practice problems out of the book.  You should expect to see problems similar to these.
+
+If you tend to struggle with some type of problem, then I recommend finding videos to watch on YouTube.  This is the primary reason WebAssign is recommended for the class: the video modules are included. 
+
+Exam 1 will be about the following topics.  I have indicated practice problems or the workshop number where appropriate:
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+    Know the following terms, and be able to state their definitions and give examples: power function, polynomial, rational function, exponential function, amplitude, period, arcsine, arctan, logarithm, inverse function, limit, one-sided limit, pole, removable singularity, continuity
+    Know the graphs of the sine, cosine, and tangent, including intercepts.
+    Know the relation of the trigonometric functions to the unit circle.
+    Be able to graph a function by hand using the rules for manipulating graphs discussed in "1.3: New functions from old": 1.3 1-3,9-24
+    Simplifying expressions involving exponential functions and logarithms: 1.4 1-4; 1.5 35-41
+    Solve an equation involving exponential functions and logarithms: 1.4 51-54
+    Determine if a function is one-to-one by applying the horizontal line test.  Find the equation for an inverse function given the equation of the function f(x) itself.
+    Fit an exponential, linear, or quadratic function to data (Lectures, Workshop)
+    Determine the local behavior of a rational function near a zero or pole (workshop)
+    Find the domain of a rational or algebraic function (1.1: 41-47)
+    Find the limit of a rational function at a point (2.2: 31-33, 40, 41; 2.3: 18,23,24,28,31,32, workshop)
+    Find the horizontal asymptotes of a rational function (2.6: 15-18, 21, 26, 31, 47-50)
+    Determine a limit graphically (2.2: 4-10)
+    Compute a limit algebraically using the limit laws (2.3: 1-32, 41-46)
+    Find points where a function is continuous (a) given a formula, (b) given a graph (2.5: 3,4,17-24)
+    State, in your own words, the definition of "The limit of f(x) as x approaches infinity, is infinity" (discovery module, 2.4)
+    State, in your own words, the definition of "The limit of f(x) as x approaches infinity, is L" (discovery module, 2.4)
+    State, in your own words, the definition of "The limit of f(x) as x approaches c, is infinity" (discovery module, 2.4)
+    Say what continuity means numerically (error analysis: lectures, workshop)
+    Be able to state and illustrate the Intermediate Value Theorem and the Squeeze Theorem
+    Use the intermediate value theorem to guarantee that an equation has a solution.  (2.5: 53-56)

classDescription.txt

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+MATH-181-17
+Project Based Calculus 1
+Professor: Johnathan Holland
+Semester: 2181 (2018 Fall)
+Time Slot: Unknown
+
+Professor Holland is a rather difficult professor to learn from. He is a very nervous individual, and if someone does not understand a topic correctly, he struggles finding another way to explain the topic. He has a sense of humor, but its not amazing.
+This course isn't overly hard for a first year course, and the amount of work needed is reasonable. The only difference between project based Calc1 and regular calc1 is the project. The year we took this course, Professor Holland decided that it should be extra credit. This should not be expected to happen regularly, and we recommend taking the non-project based Calculus route. An understanding of algebra is imperative.