College Algebra / Trigonometry

Assignment Sheets

• Unit 1 - Systems and Matrices

• Unit 2 - Exponential and Logarithmic Functions

• Unit 3 - Sequences and Series

• Unit 4 - Counting and Probability

• Unit 5 - Conic Sections

• Unit 6 - Trigonometry and Solving Triangles

• Unit 7 - Circular Trigonometric Functions

• Unit 8 - Sinusoidal Graphs and Trigonometric Identities

Unit 1 - systems and Matrices

1. Systems of Linear Equations with Two Variables - Graphing. 

2. Systems of Equations - Substitution and Elimination.

3. Matrices and Linear Systems.

4. Story Problem Applications.

5. Matrix Operations.

Unit 2 - Exponential and Logarithmic Functions

1. Exponential Functions.

2. Solving Exponential Equations.

3. Logarithmic Functions.

4. Graphing Logarithmic Functions.

5. Properties of Logarithms.

6. Common and Natural Logarithms.

7. Solving Exponential and Logarithmic Equations.

Unit 3 - Sequences and Series

1. Introduction to Sequences.

2. Arithmetic and Geometric Sequences.

3. Introduction to Series.

4. Arithmetic Series.

5. Geometric Series.

6. Binomial Theorem - Part 1.

7. Binomial Theorem - Part 2.

Unit 4 - counting and Probability

1. Counting.

   • Worksheet on Counting

2. Probability and Odds.

3. Probabilities of Compound Events.

   • Worksheet on Compound Events

4. Binomial Probability.

   • Worksheet on Binomial Probability

Review for Semester I (Fall) Exam

• Notes Sheet Template for Math Exam

• Fall 2015 Semester Exam & Answers

• Fall 2016 Semester Exam & Answers

• Fall 2017 Semester Exam & Answers

Unit 5 - Conic Sections

1. Circles.

2. Vertical Parabolas.

3. Horizontal Parabolas.

4. Ellipses.

5. Hyperbolas.

6. Summary of Conic Sections.

7. Nonlinear Systems - Substitution and Elimination. 

Unit 6 - Trigonometry and solving Triangles

1. Angles and Measurement.

2. Right Triangle Trigonometry Review.

3. Table of Trigonometric Ratios. 

4. Right Triangle Trigonometry Applications.

5. The Law of Sines.

6. The Law of Cosines.

Unit 7 - Circular Trigonometric Functions

1. Trigonometric Functions.

2. Reference Angles. 

3. Angles and Radian Measure.

4. The Unit Circle.

5. Arc Length, Areas of Sectors, and Angular & Linear Velocities.

Unit 8 - Sinusoidal Graphs & Trig Identities

1. Graphs of Sine and Cosine - Day 1. 

   • Worksheet 1 on Sinusoidal Graphs

2. Graphs of Sine and Cosine - Day 2.

   • Worksheet 2 on Sinusoidal Graphs

3. List of Fundamental Trigonometric Identities. 

4. Fundamental Trigonometric Identities.

5. Sum and Difference Identities. 

Some Trigonometric Identities

Derivation of Sum and Difference Identities