Course Description:
Major emphasis is on the concept of functions. Study polynomial, rational,
exponential, logarithmic,
trigonometric and inverse trigonometric functions, their properties, graphs, and
related equations and
applications . Additional topics include systems of equations , matrices, conic
sections, sequences and series,
and probability. A graphing calculator is required and used extensively.
Prerequisite: MTH 131
Core Course Objectives:
1. Simplify polynomial , radical, and rational expressions ,
and algebraic expressions involving radicals,
integer exponents, rational exponents, trigonometric functions, combinations,
permutations, factorials ,
series, sequences, and matrices using appropriate algebraic skills, and
logarithmic processes. (ADO 3.2)
2. Use appropriate algebraic processes to solve:
• linear, absolute value, quadratic, radical, rational, exponential, and
logarithmic
equations.
• linear, absolute value, polynomial, and rational inequalities .
• linear and nonlinear systems of equations.
• trigonometric and inverse trigonometric equations (ADO 3.2)
3. Manipulate and identify functions graphically,
symbolically, and numerically . (ADO 2)
4. Solve application problems involving many different
subject areas using algebraic
processes, counting technologies, and the binomial theorem. (ADO 4)
5. Apply fundamentals of right triangle trigonometry and
solve applications problems.
(ADO 3.2)
6. Use appropriate technology (such as the graphing
calculator ) to enhance the understanding
of the previously stated objectives. (ADO 7)
7. Have an awareness of the historical background of
topics covered in the course. (ADO 15)
Associate Degree Outcomes:
ADO 2. The ability to comprehend and use information including written and
oral forms
ADO 3 Computational skills and understanding appropriate to the program of study
ADO 4. Critical thinking and problemsolving
ADO 7 Facility in the use of computers and other technologies appropriate to the
program of study
ADO 15 An historical perspective
Day 
Section 
Topic 
Practice HW 
12 Jan 

Introduction 


R.1 
The Real Number System 
1128,5978 

R.2 
Integer Exponents, Scientific Notation,
and Order of Operation 
190 
13 Jan 
R.3 
Addition, Subtraction, and Multiplication
of Polynomials 
153 
14 Jan 
R.4 
Factoring 
1138 

R.5 
Rational Expressions 
174 
15 Jan 
R.6 
Radical Notation and Rational Exponents 
1130 

R.7 
The Basics of Equation Solving 
164 




19 Jan 

No Class 

20 Jan 
1.1 
Introduction to Graphing 
1134 

1.2 
Functions and Graphs 
189 
21 Jan 
1.3 
Linear Functions, Slope, and Applications 
172 

1.4 
Equations of Lines and Modeling 
194 
22 Jan 
1.5 
More on Functions 
187 

1.6 
The Algebra of Functions 
1106 




26 Jan 
1.7 
Symmetry and Transformations 
1102 
27 Jan 
˜˜˜˜˜˜ 
CBR Lab 

28 Jan 
˜˜˜˜˜˜ 
Review for Exam #1 

29 Jan 
˜˜˜˜˜˜ 
Exam #1 on Chapters R&1 





2 Feb 
2.1 
Linear Equations, Functions, and Models 
188 
3 Feb 

Project Success Day 

4 Feb 
2.2 
Complex Numbers 

5 Feb 
2.3 
Quadratic Equations, Functions, and Models 
1147 

2.4 
Analyzing Graphs of Quadratic Functions 
166 




9 Feb 
2.5 
More Equation Solving 
1114 

2.6 
Solving Linear Inequalities 
181 
10 Feb 
3.1 
Polynomial Functions and Modeling 
186 
11 Feb 
3.2 
Graphing Polynomial Functions 
152 
12 Feb 
3.3 
Polynomial Division 
19,6470 



148 




16 Feb 
3.4 
Theorems about Zeros of Polynomial
Functions 

17 Feb 
3.5 
Rational Functions 

18 Feb 
3.6 
Polynomial and Rational Inequalities 
194 
19 Feb 
3.7 
Variation and Applications 
188 

˜˜˜˜˜˜ 
Review for Exam #2 
149 




23 Feb 
˜˜˜˜˜˜ 
Exam #2 on Chapters 2&3 

24 Feb 
4.1 
Inverse Functions 
198 

4.2 
Exponential Functions and Graphs 
1101 
25 Feb 
4.3 
Logarithmic Functions and Graphs 
1114 
26 Feb 
4.4 
Properties of Logarithmic Functions 





2 Mar 
4.5 
Solving Exponential & Logarithmic Eqns 
186 
3 Mar 
4.6 
Applications and Models: Growth and
Decay, and Compound Interest 
143 
4 Mar 
˜˜˜˜˜˜ 
Review for Exam #3 

5 Mar 
˜˜˜˜˜˜ 
Exam #3 on Chapters 4 





16 Mar 
5.1 
Trigonometric Functions of Acute Angles 
1116 
16 Mar 
5.2 
Applications of Right Triangles 
144 
18 Mar 
5.3 
Trigonometric Functions of Any Angle 
1106 
19 Mar 
5.4 
Radians, Arc Length, and Angular Speed 
179 




23 Mar 
5.5 
Circular Functions: Graphs and Properties 

24 Mar 
5.6 
Graphs of Transformed Sine and Cosine
Functions 

25 Mar 
6.1 
Identities: Pythagorean and Sum and
Difference 
176 
26 Mar 
6.2 
Identities: Cofunction, DoubleAngle,
HalfAngle 
152 




30 Mar 
6.3 
Proving Trigonometric Identities 
151 
31 Mar 
6.4 
Inverses of the Trigonometric Functions 
186 
1 Apr 
6.5 
Solving Trigonometric Equations 
166 
2 Apr 
7.1 
The Law of Sines 
148 




6 Apr 
7.2 
The Law of Cosines 
148 
7 Apr 
˜˜˜˜˜˜ 
CBR Lab 

8 Apr 
˜˜˜˜˜˜ 
Review for Exam #4 

9 Apr 
˜˜˜˜˜˜ 
Exam #4 on Chapters 5,6&7 





13 Apr 
8.1 
System of Equations in Two Variables 
186 
14 Apr 
8.2 
Systems of Equations in Three Variables 
155 
15 Apr 
8.3 
Matrices and Systems of Equations 

16 Apr 
9.1 
The Parabola 
149 




20 Apr 
9.2 
The Circle and The Ellipse 
171 
21 Apr 
9.3 
Hyperbola 
155 
22 Apr 
9.7 
Parametric Equations 
146 
23 Apr 
7.4 
Polar Coordinates and Graphs 
198 




27 Apr 

Review for Exam #5 

28 Apr 

Review for Exam #5 

29 Apr 

Exam #5 on Chapters 8,9,&7.4 

30 Apr 

Comprehensive Review 





4 May 

Comprehensive Review 

5 May 

Comprehensive Review 

6 May 

Final Exam 

7 May 

Final Exam 





11 May 

Course Review 

12 May 

Course Review 




