**Course Contents**

- Study Guide (print me!)
- Quick Overview of Functions (p. 3-5) (13:48)
- The Difference Quotient (p. 6) (6:23)
- Finding The Domain of a Function (p. 7) (6:03)
- Adding Subtracting Multiplying and Dividing Functions (p. 8-9) (13:10)
- Graphs (p. 10-12) (9:54)
- Graphing with a Calculator (p. 13) (6:21)
- Even vs Odd vs Neither (p. 14-15) (8:23)
- Increasing Decreasing Constant (p. 16) (3:38)
- Local Maxima and Local Minima (p. 17-18) (9:48)
- Average Rate of Change and Secant Lines (p. 19) (2:54)
- Thinking of Old Things in New Ways (p. 20-21) (9:17)
- Direct Inverse and Combined/Joint Variation (p. 22-24) (10:31)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Quick Overview of Functions Question 1 Solution (1:30)
- Quick Overview of Functions Question 2 Solution (1:16)
- Quick Overview of Functions Question 3 Solution (1:00)
- Quick Overview of Functions Question 4 Solution (0:49)
- Quick Overview of Functions Question 5 Solution (0:41)
- The Difference Quotient Question 1 Solution (1:18)
- The Difference Quotient Question 2 Solution (3:03)
- The Difference Quotient Question 3 Solution (5:32)
- The Difference Quotient Question 4 Solution (2:35)
- The Difference Quotient Question 5 Solution (1:09)
- The Difference Quotient Question 6 Solution (3:00)
- The Difference Quotient Question 7 Solution (6:01)
- The Difference Quotient Question 8 Solution (2:00)
- Finding the Domain of a Function Question 1 Solution (0:47)
- Finding the Domain of a Function Question 2 Solution (1:25)
- Finding the Domain of a Function Question 3 Solution (1:15)
- Finding the Domain of a Function Question 4 Solution (2:36)
- Finding the Domain of a Function Question 5 Solution (2:28)
- Finding the Domain of a Function Question 6 Solution (1:05)
- Finding the Domain of a Function Question 7 Solution (2:26)
- Finding the Domain of a Function Question 8 Solution (2:07)
- Adding, Subtracting, Multiplying, and Dividing Functions Question 1 Solution (9:39)
- Adding, Subtracting, Multiplying, and Dividing Functions Question 2 Solution (6:33)
- Graphs Question 1 Solution (4:48)
- Graphs Question 2 Solution (3:39)
- Even vs Odd vs Neither Question 1 Solution (1:30)
- Even vs Odd vs Neither Question 2 Solution (0:53)
- Even vs Odd vs Neither Question 3 Solution (1:22)
- Even vs Odd vs Neither Question 4 Solution (1:50)
- Average Rate of Change and Secant Lines Question 1 Solution (2:45)
- Average Rate of Change and Secant Lines Question 2 Solution (3:29)
- Average Rate of Change and Secant Lines Question 3 Solution (2:56)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Piecewise Functions 1 Solution (3:13)
- Piecewise Functions 2 Solution (4:08)
- Piecewise Functions 3 Solution (5:19)
- Transforming Functions 1 Solution (4:02)
- Transforming Functions 2 Solution (8:50)
- Transforming Functions 3 Solution (4:55)
- Transforming Functions 4 Solution (5:52)
- Transforming Functions 5 Solution (4:18)
- Transforming Functions 6 Solution (6:16)

- Study Guide (print me!)
- Limits - Overview (p. 3-6) (11:20)
- Evaluating Limits - Overview (p. 7) (5:36)
- Indeterminate Forms (p. 8) (2:42)
- Evaluating Limits Algebraically - Piecewise Functions (p. 9) (5:26)
- Evaluating Limits Algebraically - 0/0 Form (p. 10-13) (21:28)
- Evaluating Infinite Limits - Number-0 Form (p. 14) (5:56)
- Evaluating Infinite Limits - Knowing Graphs (p. 15-16) (5:18)
- Limits at Infinity and Horizontal Asymptotes (p. 17-23) (23:09)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Evaluating Limits from a Graph 1 Solution (1:52)
- Evaluating Limits from a Graph 2 Solution (2:38)
- Evaluating Limits Algebraically 1 Solution (3:54)
- Evaluating Limits Algebraically 2 Solution (1:22)
- Evaluating Limits Algebraically 3 Solution (2:26)
- Evaluating Limits Algebraically 4 Solution (2:05)
- Evaluating Limits Algebraically 5 Solution (1:42)
- Limits at Infinity 1 Solution (9:40)
- Limits at Infinity 2 Solution (2:28)
- Limits at Infinity 3 Solution (2:48)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Graphing Exponential Functions 1 Solution (1:52)
- Graphing Exponential Functions 2 Solution (4:13)
- Graphing Exponential Functions 3 Solution (3:02)
- Graphing Exponential Functions 4 Solution (3:35)
- Graphing Exponential Functions 5 Solution (5:51)
- Graphing Exponential Functions 6 Solution (5:00)
- Graphing Exponential Functions 7 Solution (7:41)
- Solving Exponential Equations 1 Solution (1:05)
- Solving Exponential Equations 2 Solution (1:52)
- Solving Exponential Equations 3 Solution (2:05)
- Solving Exponential Equations 4 Solution (2:14)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Graphing Log Functions 1 Solution (11:25)
- Graphing Log Functions 2 Solution (10:26)
- Log Rules 1 Solution (0:42)
- Log Rules 2 Solution (0:54)
- Log Rules 3 Solution (1:01)
- Log Rules 4 Solution (1:06)
- Log Rules 5 Solution (2:29)
- Log Rules 6 Solution (2:31)
- Log Rules 7 Solution (2:15)
- Solving Equations with Logs 1 Solution (0:43)
- Solving Equations with Logs 2 Solution (1:35)
- Solving Equations with Logs 3 Solution (1:38)
- Solving Equations with Logs 4 Solution (4:45)
- Solving Equations with Logs 5 Solution (2:07)
- Solving Equations with Logs 6 Solution (8:06)
- Solving Equations with Logs 7 Solution (2:18)
- Solving Equations with Logs 8 Solution (1:37)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Finance Applications 1 Solution (1:24)
- Finance Applications 2 Solution (1:54)
- Finance Applications 3 Solution (1:39)
- Finance Applications 4 Solution (1:57)
- Exponential Growth and Decay 1 Solution (4:43)
- Exponential Growth and Decay 2 Solution (2:27)
- Newton's Law of Cooling 1 Solution (7:40)

- Study Guide (print me!)
- All About Angles (p. 3-6) (20:03)
- Arc Length (p. 7) (1:58)
- Area of a Sector (p. 8) (2:54)
- Linear Speed and Angular Speed (p. 9) (5:57)
- Right Triangle Trig (p. 10-13) (22:02)
- Some Special Right Triangles (p. 14-16) (12:43)
- Summary of All Important Angles (p. 17) (10:12)
- Applications to Measuring Heights and Distances (p. 18) (7:14)
- Trig Functions of Any Angle - The Unit Circle (p. 19-21) (13:47)
- Trig Functions of Any Angle - Locating Angles (p. 22-23) (10:56)
- The Quick Way of Evaluating ANY Trig Function (p. 24-26) (12:33)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- All About Angles 1 Solution (4:24)
- All About Angles 2 Solution (2:58)
- All About Angles 3 Solution (2:48)
- All About Angles 4 Solution (2:50)
- Right Triangle Trig 1 Solution (1:47)
- Right Triangle Trig 2 Solution (3:41)
- Right Triangle Trig 3 Solution (6:48)
- Right Triangle Trig 4 Solution (3:04)
- The Unit Circle 1 Solution (3:48)
- The Unit Circle 2 Solution (7:29)
- The Unit Circle 3 Solution (5:17)
- The Unit Circle 4 Solution (7:15)
- The Unit Circle 5 Solution (3:04)
- The Unit Circle 6 Solution (3:39)
- Finding Other Trig Functions 1 Solution (2:51)
- Finding Other Trig Functions 2 Solution (4:22)
- Finding Other Trig Functions 3 Solution (3:28)

- Practice Exam Questions
- Practice Exam Questions Answer Key
- Overview of Linear Functions 1 Solution (1:31)
- Overview of Linear Functions 2 Solution (2:22)
- Overview of Linear Functions 3 Solution (2:38)
- Word Problems with Linear Functions 1 Solution (4:54)
- Word Problems with Linear Functions 2 Solution (5:33)

- Study Guide (print me!)
- Algebraic Expressions (p. 3) (5:43)
- Exponent Rules (p. 4-5) (8:08)
- Square Roots (p. 6) (2:45)
- Monomials and Polynomials (p. 7-8) (5:57)
- Special Products and Factoring (p. 9-12) (19:55)
- Lines (Quick Overview) (p. 13) (4:04)
- Finding Equations and Graphing Lines (p. 14-17) (13:45)
- General Form of a Line (p. 18) (3:06)
- Vertical and Horizontal Lines (p. 19) (2:19)
- Parallel and Perpendicular Lines (p. 20) (5:09)
- Plotting Points to Graph an Equation (p. 21-22) (5:40)
- Finding Intercepts from a Graph (p. 23) (1:33)
- Finding Intercepts from an Equation (p. 24) (4:13)
- Solving Equations with Absolute Value (p. 25) (5:33)
- Number Lines and Inequalities (p. 26) (5:05)
- Solving Inequalities and Writing Intervals (p. 27-29) (12:44)
- Solving Inequalities with Absolute Value (p. 30-31) (14:22)
- Completing the Square (p. 32-35) (9:58)
- Solving Quadratics by Factoring (p. 36) (5:35)
- Solving Quadratics by Using Square Roots (p. 37) (2:39)
- Solving Quadratics by Completing the Square (p. 38) (8:43)
- Solving Quadratics by Using the Quadratic Formula (p. 39) (5:38)
- Sets (p. 40-41) (8:47)

- Study Guide (print me!)
- The Pythagorean Theorem (p. 3) (5:10)
- Common Geometry Formulas (p. 4-5) (3:19)
- Congruent Triangles (p. 6-7) (4:08)
- Similar Triangles (p. 8-10) (8:34)
- Distance Formula (p. 11) (7:59)
- Midpoint Formula (p. 12) (5:26)
- Graphing Circles (p. 13-14) (7:32)
- General Form of a Circle (p. 15-16) (11:09)

- Study Guide (print me!)
- Parent Graphs You Should Memorize (p. 3) (2:09)
- Graphing Common Equations (p. 4) (2:36)
- Symmetry of Graphs (p. 5) (8:22)
- Solving Equations by Factoring (p. 6-7) (11:20)
- Long Division with Numbers and Polynomials (p. 8-10) (14:18)
- Synthetic Division (p. 11-13) (7:39)
- Multiplying and Dividing Fractions (p. 14-16) (10:16)
- Adding and Subtracting Fractions (p. 17-18) (16:24)
- Simplifying Complex Fractions (p. 19-20) (6:29)
- Solving Systems of Linear Equations (p. 21-22) (10:04)
- General Tips for Solving Word Problems (p. 23) (5:25)
- Simple Interest Word Problems (p. 24) (3:47)
- Some Perfect Roots You Should Memorize (p. 25) (5:00)
- Radical Rules (p. 26) (4:28)
- Combining Like Terms with Radicals (p. 27) (3:26)
- Rationalizing a Denominator (p. 28) (5:43)
- Fractional (Rational) Exponents (p. 29-31) (18:53)
- Operations with Complex Numbers (p. 32-34) (11:41)
- Patterns in the Powers of i (p. 35) (4:31)
- Solving Quadratic Equations that Have Complex Solutions (p. 36) (8:19)

**Your Math Tutor**

Marty attended the University of Florida, where he earned a Bachelor of Science in statistics, a Bachelor of Arts in mathematics, and a Master of Science in electrical engineering.

While working as a teaching assistant for math and physics professors, he also did research on control systems. Later, he also taught high school physics and AP Computer Science.

Marty prides himself on making difficult concepts easier to understand. He’s been tutoring since he was a teenager, and he believes that anybody is capable of learning tough subjects with the right help.

Aside from working on CramBetter videos, Marty loves to learn languages, travel, and produce music. He’s fluent in Spanish and has studied French and Hebrew, too. Reach out to him if you wanna share something interesting about a language you speak!

**Questions?**

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