** Functions & Trigonometry **** (201-009-05) Section 4 **

Dawson College, Fall 2009

Taught by Emilie Richer

FINAL EXAM will be held in the gym on

Thu. Dec. 17th 9:30 am - 12:30 pm
**FINAL EXAM OFFICE HOURS**

Tuesday December 15th 9:00am - 12pm

Wednesday December 16th 11:00am - 2pm

**PREVIOUS FINAL EXAMS**

Final Exam Winter 2006

Final Exam Winter 2005

Final Exam Fall 2005

Final Exam Fall 2004**Study Tips for Final Exam**

**WHAT WE DID IN CLASS & RELATED HOMEWORK**

(Week 1)

Hand out course outlines, review of exponents (p.1-4)

Exercises p.3 #1-30

More examples of simplifying exponential expressions, addition, subtraction and multiplication of polynomials (p.5-9)

Exercises p.7-8 #1-7

(Week 2)

Division of polynomials (p.10-11)

Exercises p.12 #1-32

Factoring polynomials (p.14-20)

Exercises p.17-20 #1-6

(Week 3)

Rational Expressions (p.21-28)

Exercises p.24 #1-8

(Week 4)

Solving Linear Equations (p.36-40)

Exercises p.38 #1-28

Solving Quadratic Equations (p.41-56)

Exercises p.44 #1 -22, p.53 #1-3 (solve by methods shown in class)

Solving Equations containing fractions (p.57-62)

Exercises p.59 # 2 (second column b-n) #3(first column a-y)

(Week 5)

Roots and Radicals (p.29-35)

Exercises p.32 #1-9

Rectangular Coordinate System (p.63-68)

Exercises p.65 #1-4

Introduction to functions (p.69-77)

Exercises p.73 # 1-36

Composition of functions (p.113-119)

Exercises p.117 # 9-18

(WEEK 6)

Domain and range of functions

Exercises p.75 #37-48 & #67-69

Injective and surjective functions (not in textbook)

Linear functions (p.78-96)

Exercises p.89 #1(a)(e)(d), #2(a)(c)(f)(k), #4(b)(f), #5(e)(h), #6(d)(f), #8, #11-30

Quadratic functions (p.97 - 106)

(Week 7)

Quadratic functions (p.97 - 106)

Exercises p.101 - 104 #1(c)(f)(i)(l)(o)(r)(u), #2 - 29

(Week 8)

Review of domain and range of functions

Piece-wise defined functions (p. 107-112)

Test 2

(Week 9)

Piece-wise defined functions (p.107-112)

Graphing radical functions (not in textbook)

Exercises p.110 # 1-14

Operations on Functions (p.113-119)

Exercises p.116 # 1-8 & 19-38

Inverse Functions (p.120-126)

Exercises p.124 # 1-10

(Week 10)

Exponential Functions (p.127-135)

Exercises p.132 #2, 5, 9, 10, 14

Intro to Logarithmic Functions (p.127-135)

(Week 11)

Logarithmic Functions (p.127-135)

Exercises p.132 #16 - 66 (Practice makes perfect!) #70, 72, 76-78

Properties of Logarithms (p.136-147)

Exercises p.142 #1-123 (More practice makes perfect!!!)

(Week 12)

Selected exercises from p.142 #1-123 were completed in class

(Week 13)

Introduction to Trigonometry (p.148-150)

Exercises p.150 #1, 6, 11

The Trigonometric Functions (p.151-154)

Exercises p.153 #1-4

The Special Triangles (p.180-182)

Exercises p.182 #1, 3

Radian Measure in Trigonometry (p.183-187)

Exercises p.186 #1-3, 5-8

(Week 14)

Solving Trigonometric Equations (p.200-204)

Exercises p.203 #1 a)b)c)d)e)f)o)p)q)s)t)u)v)w) #2a)b)c)d)f)g)h)i)j)k)l)n)

Graphing sine and cosine functions (p.189-194)

Exercises p.192 #1,2,3

TEST 3

(Week 15)

The Inverse Trigonometric Functions (p.205-208)

Exercises p.208 #1,2

Trigonometric Identities (p.195-199)

Exercises p.198 #1-16, 19-24

Solving Right Angle Triangles (p.155-164)

Exercises p.158 #4 - 20

(Week 16)

Hand out Exam Review Packages

**DOWNLOADABLE STUFF**

Course Outline

Test 1 Version 1 Solutions

Test 1 Version 2 Solutions

Assignment 4 Solutions

Assignment 5 Solutions

Assignment 6 Solutions

Test 2 Solutions

Test 2 Bonus Quiz Solutions

Quiz 1 Solutions

Assignment 7 Solutions

Assignment 8 Solutions

Assignment 9 Solutions

Bonus Assignment 1 Solutions

Test 3 Solutions