#### Kelly MacArthur

Assistant Chair
Instructor Lecturer

Office: JWB 218
Email: macarthur@math.utah.edu

University of Utah
Department of Mathematics
155 S. 1400 E. JWB 233
Salt Lake City, UT
84112-0090 USA

# Math1080 Precalculus Fall, 2013

• Syllabus

• Course Outline (Schedule)

***Important Extra Resource: There will be three weekly review sessions taught by Math Teaching Majors.
Wednesdays 10:45-11:35 a.m. in JFB B-1
Thursdays 10:45-11:35 a.m. in WEBL110
Fridays 9:40-10:30 a.m. in WEBL110

EXTRA FINAL EXAM REVIEW SESSIONS:
Monday, December 16, 3:00 to 4:00 p.m. in LCB121
Tuesday, December 17, 1:30 to 2:30 p.m. in LCB121
Wednesday, December 18, 9:30 to 10:30 a.m. in LCB121
Thursday, December 19, 9:00 to 10:00 a.m. in LCB121

### Homework Assignments

Symbols:
* This symbol next to a specific problem means there is an error in the answer to this problem in the book. -- Consult the list of errors below.

& If this symbol is next to a specific problem, it means to use a calculator. For all other, nondesignated problems, please do the problem by hand.

• 1.6 #1, 3, 5, 7ab, 9, 11, 12, 21-29 odd, 31*, 33
• 1.9 #5-23 odd, 41, 43, 45, 47, 53, 55, 57 (Please solve all problems algebraically, not with calculator as books suggests.)
• 2.2 # 1-45 odd, 53, 55*, 57*
• 2.3 # 1-27 odd, 29*, 33*, 35-55 odd
• 2.4 #1-57 odd
• 2.5 #1-43 odd, 47, 51, 53
• 2.6 #1-7 odd, 9*, 11-49 odd, 51*, 57
• 2.7 #1-11 odd, 13-18 all, 19-31 odd, 39, 41*, 43, 45, 51, 53, 57 (Problem 41 doesn't make sense as written. Identify why. Try to rewrite the problem so you can answer the question.)
• 3.1 #3-43 odd, 51, 53
• 3.2 # 1-21 odd, 29-43 odd, 47, 49, 51
• 3.3 #3-27 odd, 35-43 odd, 47*, 51
• 3.5 #1-11 odd, 13-16 all, 17, 19, 27, 29*, 31-57 odd
• 3.6 #1-33 odd, 39-55 odd
• Appendix D #1-47 odd, 52-54 all
• 4.1 #1-49 odd, 55, 57&
• 4.2 #3-47 odd
• 4.3 #1-55 odd
• 4.4 #1&, 3&, 5-19 odd, 21-33(&) odd, 41&, 53
• 4.5 #1-15 odd, 17a&, 19a&, 21a&, 23a&, 25-31(&) odd, 33-53 odd (Make a table to graph problem 43.)
• 4.6 #1-55 odd
• 4.7 #1-47 odd, 51, 53 (For #13-39 odd, give the simplified exact answer. You can check your answer by finding the decimal approximation and comparing to the solutions.)
• 5.1 #1-21 odd, 27-31 odd, 33&, 35, 39&, 41-49 odd, 55&
• 5.2 #1-15 odd, 17&, 19&, 21-39 odd, 47, 49
• 5.3 #1-19 odd, 21*, 23-45 odd, 51
• 5.4 #1-39 odd, 51
• 5.5 #1, 3, 5&, 7acegi, 9acegi, 11, 13, 15, 17ab&, 19ab&, 21-37 odd, 39&, 41&, 43 (For #39 and 41, do graphically and algebraically, like in Example 7 on page 340.)
• 5.6 #1-17(&) odd, 19, 21, 23-43(&) odd, 47&
• 5.7 #1-41(&) odd, 45&, 49&, 57&
• 6.1 #1-29 odd, 31&, 33-49 odd
• 6.2 #1-33 odd, 35&, 37&, 41-57 odd
• 6.3 #1-47 odd, 55
• 6.4 #1-23 odd, 27-37 odd, 43, 45, 47, 49
• 6.5 #1-49 odd (For problems 19 and 21, use polar graph paper which you can find online for free by searching for "polar graph paper.")
• 8.1 #1-53 odd
• 8.3 #1-23 odd, 25&, 27&, 29-37 odd, 39&, 41-47 odd, 53
• 8.4 #1-41 odd, 47, 53
• 8.5 #1-47 odd, 55, 57, 59
• 8.6 #1-29 odd, 37-47 odd, 59
• 7.1 #1-23 odd, 35-49 odd, 55
• 7.2 #1-19 odd, 27-49 odd, 53, 55 (revised as of 12/10/13, do only #1, 3, 7-19 odd, 27-35 odd, 39-49 odd, 55)
• 7.3 #1-17 odd, 25-57 odd (revised as of 12/10/13, do only #1-17 odd, 25-35 odd, 41, 45, 49, 51, 53)

List of Known Errors in book

### Exam Reviews

• Midterm 1 Review: (covers sections 1.6, 1.9, 2.2-2.7, 3.1-3.2)
Chapter 1 Review (page 72-73) #39-49 odd, 50
Chapter 2 Review (page 152-153, Self Test) #1-10 all
Chapter 2 Review (page 153-154, Practice for Calculus) #5-11 odd, 33-43 all
Chapter 3 Review (page 214, Self Test) #1, 10
Chapter 3 Revew (page 215, Practice for Calculus) # 23
Section 3.1 #52, 54

• Midterm 2 Review: (covers sections 3.3, 3.5-3.6, 4.1-4.7, 5.1-5.2)
Section 3.3 #16, 18
Chapter 3 Review (page 214, Self Test) #1, 2(a,b), 3-8 all
Chapter 3 Review (page 214, Practice for Calculus) #1-6 all
Chapter 4 Review (page 277, Self Test) #1-9 all
Chapter 4 Review (page 278-279, Practice for Calculus) #1-6 all, 33-47 odd, 49-57 all
Chapter 5 Review (page 369, Self Test) #1
Chapter 5 Review (page 370, Practice for Calculus) #5-25 odd, 31-35 odd

• Midterm 3 Review : (covers sections 5.2-5.7, 6.1-6.4, 8.1, 8.3)
1. 5.2 #50; 5.3 #4, 9, 14, 45; 5.4 #36, 49; 5.5 #14, 15, 26, 27, 30
5.6 #6, 12, 30; 5.7 #16, 23, 25; 6.1 #22, 24, 44
6.2 #44, 50; 6.3 #25, 45; 6.4 #10, 17, 38
Chapter 8 Review (page 578, Self Test) #1, 3, 4

2. Chapter 5 Review (page 369-370, Self Test) #1, 2, 4, 6, 7, 10
Chapter 6 Review (page 421, Self Test) #1-9 all
8.1 #8, 12, 14, 48
8.3 #16, 20, 24
Midterm 3 Review Key for Even Problems

For this test, you can bring one 8.5x11 inch sheet of paper to use for reference notes, double-sided.

#### Midterm 3 Topics

• Trigonometric Computations
• finding trigonemtric function values for the usual angles as well as the half and double angles
• using right triangle information or Pythagorean Theorem to find trigonometric function values given one piece of information
• finding trigonometric function values for angle given any (x,y) point in 2-d
• using all the given identities to compute trigonometric function values
• Inverse Trigonometric Functions
• Graphs of Trigonometric Functions (transformations, amplitude, period)
• Solving Triangles (Pythagorean Theorem, Law of Sines, Law of Cosines
• Solving Trigonometric Equations
• Verifying Trigonometric Identities
• Sequences and Series: Arithmetic, Geometric, Fibonacci-type

Final Topics List
• Solve types of equations/inequalities:
• rational/quadratic/absolute value inequalities (1.6, 1.9)
• polynomial equations (3.6)
• exponential/logarithmic equations (4.6, 4.7)
• trigonometric equations (6.1)
• systems of equations (8.4, 8.5, 8.6)

• Functions:
• domain/range/graphing (2.2, 2.3)
• piecewise functions (2.5)
• arithmetic operations and compositions of functions (2.6)
• find inverse function (2.7)
• difference quotient (3.1)

• Graphing:
• Base graphs
• transformations (2.4)
• polynomial functions (3.5, 3.6)
• exponential/logarithmic functions (4.4, 4.5)
• trigonometric functions (5.4)
• inverse trigonometric functions (5.5)
• conic sections (parabolas/ellipses/hyperbola) (7.1, 7.2, 7.3)

• Trigonometry:
• evaluating expressions (reference angles/ trigonometric function values for common angles/definitions of trigonometric functions in right triangles/inverse trigonometric function values) (5.1, 5.2, 5.3, 5.5, 5.6)
• solving triangles (Law of Sines/Cosines) (5.7)
• prove/use identities (6.2, 6.3, 6.4)

• Arithmetic/geometric sequences and series (8.1, 8.3)

• Matrix algebra (add/subtract/scalar multiplication/matrix multiplication/find matrix inverse) (8.5, 8.6)
Final Review Sessions Notes