COURSE CALENDAR

1: June 9-17 Unit I

Relationships Between Two Points

· Finding the Distance Between Two Points  (p. 178)

Circles

· Finding the Center-Radius Form of a Circle  (p. 185)

· Finding the Center and Radius of a Circle    (p. 189)

· Decoding the Circle Formula    (p. 187)

Linear-Functions – Slope

· An Introduction to Linear Functions: Slope  (p. 222)

· Finding the Slope of a Line Given Two Points  (p. 222)

· Interpreting Slope From a Graph  (p. 224)

· Graphing a Line Using Point and Slope  (p. 226)

Equations of a Line

· Writing the Equation of Line in Slope Intercept Form  (p. 228)

· Writing the Equation of a Line Given Two Points  (p.230)

· Writing the Equation of a Line in Point- Slope Form  (p. 231)

· Matching Equations in Slope-Intercept Form with Their Graphs  (p. 233)

· Slopes of Parallel and Perpendicular lines (p. 237)

Linear Functions – Applications

· Constructing a Linear Function Model of a Set of Data (p.239)

Inequalities

· Inequalities and Interval Notation  (p. 23)

Function Basics

· Introduction to Functions and the Vertical Line Test  (p. 198)

· Identifying Functions (p. 201)

· Function Notation and Finding Function Values (p. 203)

Working with Functions

· Determining Intervals Over Which a Function is Increasing  (p. 205)

· Evaluating Piecewise-defined Functions for Given Values  (p. 209)

Function Domain and Range  

· Finding the Domain and Range of a Function   (p. 213)

· Domain and Range: One Explicit Example  (p. 218)

· Satisfying the Domain of a Function  (p. 220

Graphing Functions

· Graphing Some Important Functions  (p. 244)

· Graphing Piecewise Defined Functions  (p. 246)

Manipulating Graphs – Shifts and Stretches

· Shifting Curves Along Axes  (p. 279)

· Shifting or Translating Curves Along Axes (p. 281)

· Stretching a Graph  (p. 283)

· Graphing Quadratics Using Patterns  (p. 284)

Manipulating Graphs – Symmetry and Reflections

· Determining Symmetry   (p. 287)

· Reflections  (p. 288)

· Reflecting Specific Functions  (p. 291)

Composite Functions

· Using Operations on Functions   (p. 256)

· Composite Functions  (p. 257)

· Components of Composite Functions  (p. 258)

· Finding Functions That Form a Given Composite  (p. 260)

· Finding the difference quotient of a function (p. 261)

Extra review problems: Work problems 1,3,5 unless indicated p. 180 1,. 187 1,3, p. 190 1, p. 192 1, p. 224 , p. 229  p. 231 , p. 1,3, p. 239 , p. 242 1,  p.  24 p. 200 , p. 203, p. 204 1,3, p. 208 , p. 210 ,  p. 217 ,  p. 220 , p. 222 ,  p. 246 , p. 248 , p. 251, p. 280 ,  p. 282 , p. 284, p. 286 , p. 288 , p. 290 , p. 292 , p. 257 ,    p. 258, p. 260 , p. 261 , p. 263 1.   

2: June 18 Exam 1 due

3: June 20 Labs 1,2 due

4: June 19-24     Unit II

Quadratic Functions – Basics

· Nice Looking Parabolas (p. 265)  

· Maximum Height in the Real World  (p. 269)

Quadratic Functions – the Vertex

· Using the Vertex to Write the Quadratic Equation  (p. 273)

· Finding the Maximum of Minimum of a Quadratic  (p. 275)

· Graphing Parabolas  (p. 276)

Polynomials – Long Division

· Using Long Division to Divide Polynomials  (p. 295)

· Long Division: Another Example  (p. 297)

Polynomials – Synthetic Division

· Using synthetic Division to Divide Polynomials   (p. 299)

· More Synthetic Division  (p. 302)

The Remainder Theorem

· The remainder Theorem   (p. 304)

· More on the Remainder Theorem   (p. 306)

The Factor Theorem

· The Factor Theorem and its Uses   (p. 308)

· Factoring a Polynomial Given a Zero  (p. 309)

The Rational Root Theorem

· Presenting the Rational Zero Theorem    (p. 311)

· Considering Possible Solutions   (p. 313)

Zeros of Polynomials

· Finding Polynomials Given Zeros, Degree, and One Point   (p. 315)

· Finding all zeros and Multiplicities of a Polynomial   (p. 317)

· Finding the Real Zero’s for a Polynomial   (p. 318)

· Using Descartes’ Rule of the Sign   (p. 320)

· Finding the Zero’s of a Polynomial from Start to Finish  (p. 321)

Graphing Polynomials

· Matching Graphs to Polynomial Functions  (p. 324)

· Sketching the Graphs of Basic Polynomial Functions    (p. 327)

Rational Functions

· Understanding Rational Functions    (p. 329)

· Basic Rational Functions    (p. 333)

Graphing Rational Functions

· Vertical Asymptotes    (p. 335)

· Horizontal Asymptotes   (p. 337)

· Graphing Rational Functions   (p. 338)

Extra review problems: Work problems 1,3,5 unless indicated. p. 266, p271,p. 274, p.276, p. 279, p. 297, p.299, p. 302, p. 304, p. 305, p. 307, p. 309. p. 311. p. 312. p. 314, p. 316, p. 318. p. 321, p.323, p. 326, p. 329, p. 332, p. 335, p. 336, p. 338, p. 341

5: June 25 Exam 2 due

6: June 27 Labs 3,4 due

7: June 26-July 1 Unit III

Function Inverses

· Understanding Inverse Functions  (p.347)

· Deciding Whether a Function is One-to-One: The Horizontal Line Test  (p. 348)

· Deciding Whether Two Functions are Inverses of Each Other  ( p..350)

· Graphing the Inverse of a Function  (p. 353)

Finding Inverse Functions

· Finding the Inverse of a Function  (p. 357)

· Finding the Inverse of a Function With Higher Powers  (p. 359)

Exponential Functions

· An Introduction to Exponential Functions   (p. 361)

· Graphing Exponential Functions: Useful Patterns   (p. 363)

· Graphing Exponential Functions: More Examples  ( p. 365)

Applying Exponential Functions

· Using Properties of Exponents to solve Exponential Equations. (p. 367)

· Finding Present Value and Future Value     (p. 368)

The Number e

· e         (p. 372)

· Applying Exponential Functions  (p. 373)

Logarithmic Functions

· Introduction to Logarithmic Functions   (p. 374)

· Converting Between Exponential and Logarithmic Functions  (p. 376)

Solving Logarithmic Functions

· Finding the Value of a Log Function  (p. 377)

· Solving for x in  Log Equations   (p. 379)

· Graphing Logarithmic Functions   (p. 381)

Properties of Logarithms

· Properties of Logarithms     (p. 386)

· Expanding a Logarithmic Expression Using Properties   (p. 388)

· Combining Logarithmic Expressions    (p. 390)

Evaluating Logarithmic Functions

· Evaluating Logarithmic Functions Using a Calculator  (p. 392)

· Using the Change of Base Formula  (p. 394)

Solving Exponential and Logarithmic Equations

· Solving Exponential Equations   (p. 398)

· Solving Logarithmic Equations   (p. 400)

· Solving Equations with Logarithmic Exponents    (p. 402)

Applying Exponents and Logarithms

· Compound Interest   (p. 403)

Word Problems Involving Exponential Growth and Decay

· Introduction to Exponential Growth and Decay Problems  (p. 407)

· Half-Life      (p. 409)

· Continuously Compounded Interest   (p. 414)

Extra Review problems: Work problems 1,3,5 unless indicated. p. 348, p. 350, p 352, p. 356,  p.359, p. 361, p. 363, p. 365, p. 368, p. 370, p. 374, p. 376, p. 377, p. 379, p. 379, p. 380, p. 383, p. 387, p. 390, p. 392, p. 393, p. 395, p. 400, p. 401, p. 403, p. 406, p. 409, p. 411, p. 415 

8: July 2 Exam 1 due

9: July 5 Labs 5,6 due  

10: July 3-July 9 Unit Iv

Matrices

· An Introduction to Matrices  (p. 441)

· Arithmetic of Matrices   (p. 443)

· Multiplying Matrices by a Scalar   (p. 445)

· Multiplying Matrices  (p. 447)

· Multiplying Matrices: Can They Multiply?  (p. 450)

Gauss-Jordan Method of Solving Matrices

· Using Gauss-Jordan Method    (p. 452)

· Using Gauss-Jordan: Another Example   (p. 454)

· Gauss-Jordan 3 equations. There is no Thinkwell tutorial on this topic. Go to the Resources Section to view notes on using Gauss-Jordan to solve a system of 3 equations. The notes includes 2 problems for practice .

Evaluating Determinants

· Evaluating 2x2 Determinants   (p. 456)

· Evaluating 3x3 Determinants   (p. 457)

· Applying Determinants   (p. 460)

Cramer’s Rule

· Using Cramer’s Rule  (p. 462)

· Using Cramer’s Rule in a 3x3 Matrix  (p. 464)

Sequences

· Understanding Sequence Problems  (p. 523) 

· Solving Problems Involving Arithmetic Sequences   (p. 525)

· Solving Problems Involving Geometric Sequences  (p. 527)

· General and Specific Terms

· Sequence Problems 

· Series Notation, Definitions, and Evaluating

· Finding the Sum of an Arithmetic Series

· Finding the Sum of a Geometric Series

The Binomial Theorem

· Using the Binomial Theorem  (p. 519)

Extra Review Problems: Work Problems 1,3,5 unless indicated. p. 443, p. 445, p. 447, p. 449, p. 451, p. 454, p. 455, p. 457, p. 459, p. 462, p. 463, p. 466, p. 520, p. 525, p. 526, p. 528

11: July 10 Final Exam , Labs 7,8 due