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.*