Course Exams
Note: Information will be added as the exam dates near.
Exam 1: Friday March 8 (in class)
Topics: Chapter 1 (excluding 1.7) and Sections 2.1  2.5.
In particular, you should be comfortable with the following:
 Functions
Graph simple functions. Know what domain, range, image, even, odd,
increasing and decreasing are.
 Limits
Compute limits and determine when they don't exist. Be familiar with the
limit laws (you need not remember them by number). Determine where a
function is continuous/continuous. Be familiar with the basic types of
discontinuities: removable, jump and infinite. Similarly, be familiar with
left/right hand limits and left/right hand continuity. Squeeze Theorem.
Intermediate Value Theorem.
 Derivatives
Be able to state the definition of the derivative, as well as
compute the derivative using limits.
State the various differentiation rules (sum, product, quotient, chain) in either Leibnitz notation (df/dx) or prime notation (f'(x)).
Use differentiation rules to differentiate functions.
Graph the derivative of a function.
Find the tangent line to a curve at a point.
Understand how position and velocity are related to functions and
their derivatives.
Practice problems
I suggest you begin by reviewing your old homeworks and lecture notes, in particular the examples. One you feel moderately comfortable with your ability,
you should try many practice problems. I cannot overemphasize the importance
of making sure you can do these on your own (which means, you need to do them
on your own). After solving practice problems,
check your answers against the solutions to make sure you
were correct.
Bring any questions you may have to lecture, your discussion section, office hours and/or the Help Center.
Some suggested practice problems from the text are listed below, though for
specific topics you do not feel comfortable with, you should consider looking
through the relevant section/notes for additional examples and problems.

Chapter 1 Review (pp 9396)
Concept Check: 1, 3, 7, 8
TrueFalse Quiz: 1, 3, 5, 6, 8, 12, 15, 16, 17, 18, 23, 24, 25
Exercises: 23, 24, 25, 27, 32

Chapter 2 Exercises
Section 2.3: 13, 17, 21
Section 2.4: 5, 11, 17, 21
Section 2.5: 1, 3, 7, 31, 41

Chapter 2 Review (pp 190193)
Concept Check: 4, 5, 6, 9
TrueFalse Quiz: 1  9
Exercises: 1, 2, 3, 4, 5, 11, 13, 15, 17
Solutions to selected problems are now available under the "Content"
section in the D2L page.
Exam 2: Friday April 19 (in class)
Topics: Exam 2 will focus on Sections 2.3  2.8, Sections 3.1  3.3 and
parts of 3.5,
though you should still be familiar with earlier material. Specifically,
you should be comfortable with the following:
 State the various differentiation rules (sum, product, quotient, chain)
in either Leibnitz notation (df/dx) or prime notation (f'(x)).
 Use differentiation rules to differentiate functions
 Differentiation equations implicitly
 Find equations of tangent lines
 Solve rates of change problems (e.g., velocity, acceleration)
 Solve related rates problems (given in words)
 Find local and absolute minima and maxima of functions
(including the first and second derivative tests)
 Determine intervals of increase/decrease
 Determine concavity/inflection points
 Find vertical asymptotes
 Graph the derivative of a function
 Graph polynomials on the real line, and other functions on closed intervals
 Understand Rolle's Theorem and Mean Value Theorem
Suggestions: my suggestions for preparing are the same as for Exam 1.
Here is a list of practice problems.

Chapter 2 Review (pp 190193)
Concept Check: 8, 9, 10, 11
TrueFalse Quiz: 38, 10
Exercises: 15, 17, 19, 27, 33, 35, 37, 73(a)(b), 77, 79

Chapter 3 Problems
Section 3.1: 11, 13
Section 3.3: 2, 3, 6, 7, 9, 11, 13, 15, 21, 27, 31, 41

Chapter 3 Review (pp 275278))
Concept Check: 1, 2, 3, 4, 5, 6
TrueFalse Quiz: 1  8 (removed 9 and 10)
Exercises: 1, 5, 16, 17, 19
Solutions to selected problems are now available under the "Content"
section in the D2L page. 4/17: Corrected
Solution to 3.3:6.
Final Exam: Wednesday May 8, 810am
The final exam will be cumulative. Specifically, it will cover Chapter 1
(excluding 1.7), Chapter 2 (excluding 2.9) and Chapter 3 (excluding 3.6
and 3.8).
I recommend you prepare by going over your previous exams (and if possible
alternate versions) and making sure you can do all problems correctly
(on your own). I anticipate least 2/3 of the final exam will comprise
questions similar to those on Exams 1 and 2.
You should also do many practice problems (particularly those on Sections
3.4, 3.5, 3.7 and 3.9),
which you can select from, the review problems listed
below, your homework, or from additional problems/examples in the text.
You should at the least, expect to be asked the following on the final exam.
 A variety of true/false
 Compute limits
 Compute the derivative of a simple function from the definition
 Compute the derivative of combinations of algebraic and trigonometric
functions
 Find a tangent line to a curve (possibly using implicit differentiation)
 Given a position function, find velocity and acceleration
 Given velocity or acceleration and initial conditions, find the position
function (or find a general antiderivative)
 A related rates problem
 Find local/absolute minima/maxima on an interval
 Find vertical and horizontal asymptotes
 Graph functions (in the style of the last problem on Exam 2, but likely for
more complicated functionsmaybe rational or algebraic functions)
 An optimization problem
While I have not made up the exam yet, I plan to place all of the above to be
on the exam.
In addition, as on previous exams, there may be other topics/types of problems
covered, such as
"State the defintion of [continuity/derivative/vertical
asymptote/etc.]", "Graph a function with these properties ... [odd/jump
discontinuity at 0/continuous but not differentiable at 1, concave up on
(1,0)/increasing on (0,1)/vert asymptote at x=3/etc.]", or
"Prove [d/dx tan x = sec^2 x/etc.]".
Final Review Practice Problems
 Chapter 1 Review (pp 9396)
Concept Check: 1, 3, 4, 6, 8, 12, 13, 15(a)(d)(e), 16, 17, 18
TrueFalse Quiz: all except 21
Exercises: 1, 12, 14, 15, 24, 25, 27, 29, 31
 Chapter 2 Review (pp 190193)
Concept Check: 1, 2, 5, 6, 8(a)(b)(c)(e)(g), 9, 10
TrueFalse Quiz: all
Exercises: 2, 3, 10, 11, 13, 14, 15, 16, 17, 20, 21, 23, 26, 33, 39
 Chapter 3 Review (pp 275278)
Concept Check: 1, 2, 3, 4, 5, 6, 7, 10
TrueFalse Quiz: 110, 18, 19
Exercises: 2, 7, 9, 10, 15, 18, 19, 20, 38
 Insection Exercises
Section 1.6: 44
Section 2.8: 12, 15, 17
Section 3.5: 9, 11, 25
Section 3.7: 15, 16, 19
Section 3.9: 1, 3, 51, 53
Solutions to selected problems are available under the "Content"
section in the D2L course page.
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