Advanced Topics in Math

 Advanced Topics in Math

Online PDF Textbook HERE


Chapter 2 Systems of Linear Equations and Inequalities:

2-1 Solving Systems of Equations in Two Variables.

Worksheets: Solving SystemsElimination  Page 70-71 #5-31 Odd


2-2  Solving Systems of Equations in Three Variables

Example Practice Problems Done out: Step-by-step for select few:

More examples:  Page 76 #4-18 here

2-3  Modeling Real-world data with Matrices

Page 82-83 # 1-46 

2-4  Modeling motion with Matrices

2-5  Determinants and Multiplicative Inverses of Matrices

Page 102-103 1-45 odd

2-6  Solving Systems of Linear Inequalities

Page 109-110 # 4-22 odd


Chapter 4 Polynomials and Rational Functions:

4-1 Polynomial Functions

Page 209-210 # 5-49

4-2 Quadratic Equations

Page 219-221 # 1-45

4-3 The Remainder and Factor Theorems

Page 226-228 #1-51

4-4 Rational Root Theorem

Page 233-234 # 1-22 Worksheet here

4-5 Locating Zero's of a Polynomial Function

Page 240-241 # 12-31 Worksheet here

4-6 Rational Equations and Partial Fractions

Page 247-248 # 1-33 Worksheet here

4-7 Radical Equations and Inequalities

Page 254-255 # 4-34

Worksheets Below:

Part 1

Part 2


Chapter 5  The Trigonometric Functions:

5-1 Angles and Degree Measure

Page 280 #1-58 odd. 68-78.

5-2  Trigonometric Ratios in Right Triangles

Page 286 #5-27

5-3  Trigonometric Functions on the Unit Circle

Page 296-297 #1-44 

Worksheets/Charts: 1. NINJA UNIT CIRCLE CHART. 2. 

 SIN/COS/TAN UNIT CIRCLE

UNIT CIRCLE CHART
NINJA UNIT CIRCLE

5-4 Applying Trigonometric Functions

Page 301-302 # 1-21

5-5  Solving Right Triangles

Special Right Triangles Worksheet here here

Page 309-310 # 5-43 

5-6 The law of Sines

Page 316-317 # 1-33     Worksheet here

5-7 The law of Cosines

Page 324-325 1-37  Worksheet here




Chapter 6 Graphs of Trigonometric Functions:

Notes: Here

6-1 Angles and Radian Measure

Page 348-349 #1-55

Worksheet here:

6-2  Linear and Angular Velocity

6-3  Graphing Sine and Cosine Functions

6-4  Amplitude and Period of Sine and Cosine Functions

6-5  Translations of Sine/Cosine Functions

6-6  Modeling real-world data with sinusoidal functions

6-7 Graphing other Trig Functions

6-8 Trig inverses and their graphs


Chapter 7 Trig Identities and Equations:

7-1 Basic Trig Identities

Worksheet here:

7-2  Verifying Trig Identities

7-3  Sum and Difference Identities

7-4  Double Angle and Half Angle Identities

7-5   Solving Trig Equations

7-6  Normal Form of a Linear Equation

7-7  Distance From a Point to a Line


Chapter 8 Vectors and Parametric Equations:

8-1 Geometric Vectors

Worksheet here:

8-2  Algebraic Vectors here

8-3  Vectors in 3D space  here

8-4 Perpendicular Vectors  here 

8-5  Applications with Vectors

8-6  Vectors and Parametric Equations

8-7  Modeling motion using Parametric Equations

8-8  Transformed Matrices in 3D Space



Chapter 9 Polar Coordinates and Complex Numbers:

9-1 Polar Coordinates

Worksheet here:

9-2  Graphs of Polar Corrdinates

9-3  Polar and Rectangular Corrdinates

Worksheet here

9-4  Polar Form of a Linear Equation

9-5  Simplifying Complex Numbers

9-6  The complex Plane and Polar Form of Complex Numbers

9-7 Products and Quotients of Complex Numbers in Polar Form

9-8  Powers and Roots of Complex numbers


Chapter 10 Conics:

10-1  Intro to Analytic Geometry

Worksheet here:

10-2  Circles

10-3  Ellipses

10-4  Hyperbolas

10-5   Parabolas

10-6  Rectangular and Parametric Forms of Conic Sections

10-7 Transformations of Conics

10-8 Systems of Second-Degree Equations and Inequalities



Chapter 11 Exponential and Logarithmic Functions: 

11-1  Real Exponents

Worksheet here:

11-2  Exponential Functions

11-3  The number E

11-4  Log Functions

11-5  Common Logs

11-6  Natural Logs

11-7. Modeling Real-World Data with Exponential and Log Functions


Chapter 12 Sequences and Series:

12-1 Arithmetic Sequences and Series

Worksheet here:

12-2  Geometric Sequences and Series

12-3  Infinite Sequences and Series

12-4  Convergent and Divergent Series

12-5   Sigma Notation and nth Term

12-6  The Binomial Theorem

12-7. Special sequences and Series

12-8. Sequences and Iteration

12-9. Mathematical Induction


Chapter 13 Combinations and Probability:

13-1  Permutations and Combinations

Worksheet here:

13-2  Permutations with Repetitions and Circular Permutations

13-3  Probability and Odds

13-4  Probabilities of Compound Events

13-5  Conditional Probability

13-6  The Binomial Theorem and Probability



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