# MAT1318B - Functions

Instructor: Charles Starling

Office: 585 King Edward, Room 306

Phone: 562-5800 extension 3507.

email: cstar050@uottawa.ca.

Office Hours: Friday 10am-11:30am, Tuesday 11:30am-1pm

Course Outline

Course Notes Practice Final Exams

### Note: the suggested exercises in the table below are for the 6th edition of the textbook. Suggested exercises for the 5th edition are listed below the table.

Date Section Suggested Exercises Assignments
Tuesday January 10
The real numbers (1.1 + 1.2) Section 1.1: 19-30, 43, 44, 45-50, 57-64
Section 1.2: 7-24, 27, 33, 35-52, 61-70, 89-92
Friday January 13
The real numbers (1.3 + 1.4) Section 1.3: 23-28, 29-44, 61-72, 75-82, 89, 91, 93, 95, 97
Section 1.4: 2, 3, 4, 5-12, 13-20, 23-28, 39-58, 59-68, 69, 70, 81-86
Tuesday January 17
The real numbers (1.5 + 1.7) Section 1.5: 19-28, 31, 33, 35, 37, 43-54, 63-77odd, 79, 81, 105-108
Section 1.7: 11-33odd, 35-72, 73-88odd
Friday January 20
The Coordinate Plane (1.8)
What is a Function? (2.1)
Section 1.8: 9-12, 33, 35, 49-52, 57-65 odd
Section 2.1: 2, 3, 5, 7, 11, 17, 20, 31-34, 43-64
Assignment 1
Due in class Jan 27
Solutions
Tuesday January 24

Graphs of Functions (2.2)
Increasing/Decreasing Functions (2.3)
Section 2.2: 5-27odd, 51-56
Section 2.3: 5-8, 19-22
Friday January 27Transformations of Functions (2.5) Section 2.5: 4, 5-14, 15, 17, 21-30, 45-54, 61, 62
Tuesday January 31Quadratic Functions (3.1) Section 3.1: 5, 9-22, 23-32, 45-48
Friday February 3
Midterm 1 Solutions
Tuesday February 7 Combining Functions (2.6)
Function Inverses (2.7)
Section 2.6: 5-14, 21-26, 27-32, 33-37, 49, 51
Friday February 10 Polynomials (3.2 + 3.3) Section 3.2: 5, 6, 15-18
Section 3.3: 9-13, 15, 17, 39-43, 53-56
Assignment 2
Due in class Fri Feb 18
Solutions
Tuesday February 14 Rational Functions (3.7) Section 3.7: 21-32, 33-39odd, 41-63
Friday February 17 Exponential and Logarithmic Functions (4.1 + 4.2 + 4.3) Section 4.1: 9, 11, 13, 23, 24, 25-35odd, 51-54
Section 4.2: 3, 11, 13, 21, 22, 31-36
Section 4.3: 7-36, 49, 50, 53-68
February 20-24
Study Break (no class)
Tuesday February 28 Laws of Logs (4.4)
Exponential and Logarithmic Equations (4.5)
Applications (4.6)
Section 4.4: 19-54odd, 55-61
Section 4.5: 29-58, 75-78
Section 4.6: 1-7, 17-21
Friday March 2
Midterm 2 Solutions
Tuesday March 6
Review/Catchup
Friday March 9 The Unit Circle (5.1)
Trigonometric Functions (5.2)
Section 5.1: 3-13 odd, 21, 23-32
Section 5.2: 5-24odd, 29-37odd, 65-71odd
Tuesday March 13Trigonometric Graphs (5.3 + 5.4) Section 5.3: 3-13odd, 17-27odd, 43-49odd
Section 5.4: 9-14, 19, 23, 27-30, 39, 53
Friday March 16
Modelling Harmonic Motion (5.6)
Angle Measures (6.1)
Trigonometry of Right Triangles (6.2)
Trigonometric Functions of an Angular Variable (6.3)
Section 5.6: 11-18odd
Section 6.1: 15-31odd, 33, 39-43odd, 51-62
Section 6.2: 3-7odd, 19-29odd, 45
Section 6.3: 11-25odd, 35-43odd, 45-51odd
Assignment 3
Solutions
Due in class Mar 23
Tuesday March 20
Trigonometric Identities (7.1) Section 7.1: 3-9odd, 13-21odd, 29-89odd
Friday March 23
Addition and Subtraction Formulas (7.2) Section 7.2: 3-13odd, 15-18, 33-39odd, 55-59odd
Tuesday March 27
More Trig Formulas (7.3) Section 7.3: 17-27odd, 29-33odd, 37-41, 51, 53, 61-71odd
Friday March 30 Inverse Trigonometric Functions (5.5) Section 5.5: 3-39odd
Tuesday April 3
Midterm 3 Solutions
Formula sheet
Friday April 6 Easter - No Class
Tuesday April 10 Solving Trigonometric Equations (7.4 and 7.5) Section 7.4: 5-55odd
Section 7.5: 3-33odd, 39, 41, 43, 47

## Suggested Exercises for 5th Edition of the Textbook

• ### Chapter 1

• Section 1.1: 23,25,33d,35,37,41,45,53,55,57,63
• Section 1.2: 29,33,35,43,47,49,51,61,63,83,84
• Section 1.3: 13,15,27,29,31,37,49,55,68,71,73,75,81
• Section 1.4: 1,3,5,6,7,9,11,13,19,21,31-41odd,61
• Section 1.5: 1,12,17,19,37,38,39,40,75,95
• Section 1.7: 7-17odd,37,39,44,45,47,57,59,67,68,69
• Section 1.8: 7,17,43,45,47,49,51,81
• ### Chapter 2

• Section 2.1: 11,13,23,27,43,45,47,49,51,57
• Section 2.2: 1,7,11,25,41,57,59
• Section 2.3: 1,2,3,4
• Section 2.4: 1-15odd, 21,23,25,33,37,43,53
• Section 2.5: 5-27odd,39,41
• Section 2.7: 1,5,7,9,17,19,21,23,29,35,37
• Section 2.8: 1,3,7,11,17,23,47,65
• ### Chapter 3

• Section 3.1: 1,5-10,11,13,,23,37,43
• Section 3.2: 1-11odd,23,25,37,39
• Section 3.6: 1,5,11,15,17,19,27,33-55odd
• ### Chapter 4

• Section 4.1: 5,7,11,19,24,25,29
• Section 4.2: 1,3-31odd,37,39
• Section 4.3: 1,3,13-51odd
• Section 4.4: 1-15odd,35-49odd,63*
• Section 4.5: 1,3,5,15,17,19,21
• ### Chapter 5

• Section 5.1: 1,13,19,21-29odd,31
• Section 5.2: 1-21odd,23-26,27-35odd
• Section 5.3: 1,3,15-25odd,27,35,41-47odd
• Section 5.4: 1-7,9,11,17,21,41
• Section 5.5: 1,7,13,33
• ### Chapter 6

• Section 6.1: 1,3,13,33,51
• Section 6.2: 1,9,13,29,41
• Section 6.3: 1,7,15,33,37,43
• ### Chapter 7

• Section 7.1: 1,11-87odd
• Section 7.2: 1,5,7,13,17,19,27,35
• Section 7.3: 1,3,11,23,29
• Section 7.4: 1-7odd,15-39odd,43
• Section 7.5: 1-47odd, 57