** Functions & Trigonometry (201-009-05) **** Continuing Education Section 2 **

Dawson College, Fall 2009

Taught by Emilie Richer

FINAL EXAM will be held in the gym on

Thu. Dec. 17th 6:30-9:30 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 (scanned page below)

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

Exercises p.7-8 #1-7

(Week 2)

Long division of polynomials (p.10-13)

Exercises p.12-13 #1-32

Factoring polynomials (p.14-20)

Exercises p.17-20 #1-6

(Week 3)

Rational expressions (p.21-28)

Exercises p.24-28 #1-8

Roots and radicals (p.29-35)

(Week 4)

Roots and radicals continued (p.29-35)

Exercises p.32-34 #1-9

END OF TEST 1 MATERIAL

(Week 5)

Solving linear equations (p.36 - 40)

Exercises p.38 - 40 #1, 3, 11, 15, 17, 21, 25

Solving Quadratic Equations (p.41 - 56)

Exercises (In these questions, use any method you like for solving quadratic equations) p.44 #1, 2, 11, 13, 17, 21, 31 and p. 53 # 1-4

TEST 1

(Tuesday Week 6)

Solving equations containing fractions (p.57 - 62)

Exercises p.59 #1 - 3, 8, 10, 11

Introduction to functions (p.73 - 77)

Functions, Domain of Function, Composition of Functions (p.73 - 77 & p.113)

Exercises p.73 #1-58, 70 - 77 & p.113 # 19 - 33

(Week 7)

Linear functions, the slope and equations of a line (p.78 - 96)

Exercises p. 81 # 2(g)(i)(h)(m) #4-6 &

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)

Exercises p.101 #1(d)(h)(o)(r)(u), 2-4, 7-14, 22

(Week 8)

Piece-Wise Functions (p.107 - 112)

Sketching square root functions

Exercises p.110 # 1-14

END OF TEST 2 MATERIAL

(Week 9)

Review for Test 2

TEST 2

(Week 10)

Inverse Functions (p.120-126)

Exercises p.124 #1-10

Exponential Functions (p.127-135)

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

(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

Introduction to Trigonometry (p.148-150)

Exercises p.150 #1, 6, 11

The Trigonometric Functions (p.151-154)

Exercises p.153 #1-4

(Week 13)

Radian Measure in Trigonometry (p.183-187)

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

The Special Triangles (p.180-187)

Exercises p.182 #1, 3

Exercises p.186 #5

(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)

Graphs of Sine and Cosine Functions (p.189-194)

(Week 15)

Graphs of Sine and Cosine Functions (p.189-194)

Exercises p.192 #1, 2, 3

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

Exponent exercises

Exponent answers

Test 1 Solutions

Solutions to Assignment 4

Solutions to Assignment 5

Solutions to Assignment 6

Test 2 Solutions

Solutions to Assignment 7

Solutions to Assignment 8

Solutions to Assignment 9

Solutions to Assignment 10

Test 3 Solutions