MAT125
Exam 4 Review
Lecture 44: The OTHER Four Trig Function Graphs
o Be able to graph altered tangent, cotangent, secant and cosecant functions. Also be able to describe domain, range, period, intercepts and asymptotes.
o Section 7.7 #5, 9, 17, 21
Lecture 45: Your Six Favorite Trig Identities Part I (Sum and Difference Identities)
o Memorize your six favorite trig identities and know how to use the other 6 identities to simplify and/or evaluate trig expressions.
o Section 8.1 #1, 3, 5, 7, 11, 17, 19, 21, 25, 37, 41
Lecture 46: Your Six Favorite Trig Identities Part II (Double and Half Angle Identities)
o Memorize your six favorite trig identities and know how to use the other 6 identities to simplify and/or evaluate trig expressions.
o Section 8.2 #1, 5, 9, 11, 15, 17, 23
Lecture 47: Your Six Favorite Trig Identities Part III (Sum to Product/Product to Sum Identities)
o Memorize your six favorite trig identities and know how to use the other 7 identities to simplify and/or evaluate trig expressions.
o Section 8.3 #1, 5, 9, 19, 23, 25, 27
Lecture 48: Solving Trig Equations
o Use identities and knowledge of trig function graphs, the unit circle and trig function values at certain angles to solve trig equations.
o Section 8.4 #5, 9, 13, 17, 19
Lecture 49: The Inverse Trig Functions
o Be able to provide the graphs of arcsin(x), arcos(x) and arctan(x).
o Know the domains and ranges of arcsin(x), arcos(x) and arctan(x).
o Evaluate trig expressions involving the arcsin(x), arcos(x) and arctan(x).
o Section 8.5 #1-30 (Try some), 33
Lecture 50: The Law of Sines
o Memorize the Law of Sines and use it to solve triangles.
o Section 9.1 #1-8
Lecture 51: The Law of Cosines
o Memorize the Law of Cosines and use it to solve triangles.
o Section 9.1 #19-22
Lecture 52: Vectors Part I
o Add and subtract vectors graphically.
o Section 9.2 #3, 9, 21
Lecture 53: Vectors Part II
o Add and subtract vectors algebraically.
o Section 9.3 #1, 7, 15, 37, 39, 43
Lecture 54: 2-Equation, 2-Variable Systems
o Solve a system of two equations in two variables.
o Section 10.1 #8-23 (try a few), 37, 55, 57
Lecture 55: 3-Equation, 3-Variable Systems
o Solve a system of three equations in three variables.
o Section 10.2 #1, 13, 15, 17 (Do not use Gaussian Elimination—just use the techniques from class.)
Things to do to prepare for the exam:
§ Read the lectures carefully—again.
§ Read the objectives at the beginning of each of the lectures.
§ Look at each of your WeBWorK assignments again.
§ Look at your quizzes again—make note of any corrections that have been made.
§ Look over the in-class activity that we did with Lecture 24 (see my webpage if you have lost it).
§ Do NOT wait until the night before the test to start studying.
§ Do NOT plan to ask all of your questions in office hours the day of the test!
What to expect on the exam:
§ We will NOT be using any kind of calculator for this exam.
§ You will have ONE HOUR to finish the test. It is your job to use the time wisely.
§ Be prepared to show all of your work. Correct answers without appropriate support work will not receive full credit.
§ NOTE: There will be NO calculator section on this exam.
What to bring to the exam:
§ A pencil—NOT a pen!
§ An eraser—maybe a big one.
§ Extra lead?
§ Your organized Notebook for the Notebook Check.
Notebook Check #4
During Exam #4
20 points
Lecture notes should be together. They should be filled-in. If you were absent for a lecture, borrow someone’s notes and fill them in yourself—do not photocopy them.
_____Lecture 45
_____Lecture 46
_____Lecture 47
_____Lecture 48
_____Lecture 49
_____Lecture 50
_____Lecture 51
_____Lecture 52
_____Lecture 53
_____Lecture 54
_____Lecture 55
I am looking to see that you have attempted all of the WeBWorK problems on your own paper and not just all crammed in on the print-out. WeBWorK assignments should be together and labeled with the set number. Individual problems should be numbered.
_____WeBWorK Set 17
_____WeBWorK Set 18
_____WeBWorK Set 19
All of your graded quizzes should be kept together in your 3-ring binder.
_____Quiz 9
_____Quiz 10
_____Quiz 11
All of your graded tests should be kept together in your notebook for easier final exam preparation.
_____Exam 1
_____Exam 2
_____Exam 3
Note: I should be able to find these items on my own during the check. I will not go back afterward and have you show me where an item is located in order to receive more points.