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Functions & Graphs — Topic Review (⏱️ <96 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Functions (p. 3-5) (13:48)
- Finding The Domain of a Function (p. 6) (6:03)
- Graphs (p. 7-9) (9:54)
- Graphing with a Calculator (p. 10) (6:21)
- Average Rate of Change and Secant Line (p. 11) (2:54)
- The Difference Quotient (p. 12) (6:23)
- Thinking of Old Things in New Ways (p. 13-14) (9:17)
- Important Types of (Parent) Functions (p. 15-16) (11:47)
- Piecewise Functions (p. 17) (7:50)
- Transforming a Function (p. 18-21) (20:51)
Functions & Graphs — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Quick Overview of Functions Practice Exam Solutions (5:16)
- Finding The Domain of a Function Practice Exam Solutions (14:09)
- Average Rate of Change and Secant Lines Practice Exam Solutions (9:10)
- The Difference Quotient Practice Exam Solutions (24:38)
- Graphs Practice Exam Solutions (8:27)
- Piecewise Functions Practice Exam Solutions (12:40)
- Transforming a Function Practice Exam Solutions (34:13)
Linear & Quadratic Functions — Topic Review (⏱️ <45 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Linear Functions (p. 3-4) (6:12)
- Word Problems and Modeling with Linear Functions (p. 5) (5:21)
- Quick Overview of Quadratic Functions (p. 6-8) (11:52)
- Properties of Quadratics (p. 9-10) (5:43)
- Graphing a Quadratic Using Its Vertex, Axis of Symmetry, and Intercepts (p. 11) (9:36)
- Maximum/Minimum Value of a Quadratic (p. 12) (6:06)
Linear & Quadratic Functions — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Overview of Linear Functions Practice Exam Solutions (6:31)
- Word Problems with Linear Functions Practice Exam Solutions (10:27)
- Overview of Quadratic Functions Practice Exam Solutions (10:36)
- Graphing Quadratics Practice Exam Solutions (23:15)
- Finding Maxima and Minima of Quadratic Functions Practice Exam Solutions (10:16)
Polynomial & Rational Functions — Topic Review (⏱️ <104 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Polynomial Functions (p. 3-4) (5:08)
- End Behavior (p. 5) (5:19)
- Graphing Using Zeros and Multiplicities (p. 6-7) (19:01)
- Quick Overview of Rational Functions and Domain (p. 8) (4:38)
- Vertical Asymptotes of Rational Functions (p. 9) (3:09)
- Horizontal and Oblique Asymptotes of Rational Functions (p. 10-13) (19:50)
- Holes of Rational Functions (p. 14) (2:27)
- Graphing Rational Functions (p. 15-17) (23:17)
- Applications with Rational Functions (p. 18) (5:24)
- Inequalities with Rational Functions and Polynomials (p. 19-20) (14:49)
Polynomial & Rational Functions — Practice Exam Questions
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Exponential & Logarithmic Functions — Topic Review (⏱️ <151 min)
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- Study Guide (fill this in as you watch the videos!)
- Exponential Functions (p. 3-5) (14:31)
- The Number e (p. 6) (2:06)
- Solving Exponential Equations (p. 7-8) (6:36)
- Composite Functions (p. 9-10) (8:19)
- One-to-One Functions and Inverses (p. 11-12) (8:53)
- Log Functions (p. 13-14) (13:07)
- Log Rules (p. 15-18) (15:49)
- Solving Equations with Logs (p. 19-21) (16:22)
- Solving Equations with Exponentials (p. 22-23) (11:52)
- Summary of Log and Exponent Rules (p. 24) (3:53)
- Finance Applications - Overview (p. 25-27) (15:31)
- Effective Rate of Interest (p. 28) (6:20)
- Present Value (p. 29) (5:40)
- Exponential Growth and Decay (p. 30-32) (21:10)
Exponential & Logarithmic Functions — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Solving Exponential Equations Practice Exam Solutions (7:16)
- Log Rules Practice Exam Solutions (10:58)
- Solving Equations with Logs Practice Exam Solutions (22:49)
- Finance Applications Practice Exam Solutions (6:54)
- Exponential Growth and Decay Practice Exam Solutions (7:10)
Limits & Continuity — Topic Review (⏱️ <103 min)
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- Study Guide (fill this in as you watch the videos!)
- Limits - Overview (p. 3-6) (11:20)
- Evaluating Limits - Overview (p. 7) (3:16)
- 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)
- Limits at Infinity and Horizontal Asymptotes (p. 15-21) (22:09)
- Continuity (p. 22-24) (8:58)
- Discontinuity (p. 25-28) (21:22)
Limits & Continuity — Practice Exam Questions
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The Definition of the Derivative & Basic Derivative Rules — Topic Review (⏱️ <83 min)
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- Study Guide (fill this in as you watch the videos!)
- The Definition of the Derivative (p. 3-5) (21:39)
- The Derivative as a Function (p. 6-7) (8:49)
- Differentiability (p. 8-9) (10:55)
- Power Rule & Derivatives of Polynomials (p. 10-12) (11:09)
- Differentials & Error Measurement (p. 13-15) (11:37)
- Marginal Analysis in Business & Economics (p. 16-19) (18:25)
The Definition of the Derivative & Basic Derivative Rules — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- The Definition of the Derivative Practice Exam Solutions (16:38)
- The Derivative as a Function Practice Exam Solutions (14:15)
- Differentiability Practice Exam Solutions (16:46)
- Differentials Practice Exam Solutions (5:25)
- Marginal Analysis Practice Exam Solutions (11:45)
Compound Interest & More Derivative Rules — Topic Review (⏱️ <39 min)
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- Study Guide (fill this in as you watch the videos!)
- Compound Interest (p. 3) (3:34)
- Derivatives of Exponential & Logarithmic Functions (p. 4) (3:13)
- Product and Quotient Rules (p. 5-6) (12:35)
- Finding Tangent and Normal Lines (p. 7-8) (7:31)
- Horizontal and Vertical Tangent Lines (p. 9) (3:26)
- The Chain Rule (p. 10-11) (8:14)
Compound Interest & More Derivative Rules — Practice Exam Questions
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Implicit Differentiation, Related Rates, & Elasticity of Demand — Topic Review (⏱️ < min)
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Implicit Differentiation, Related Rates, & Elasticity of Demand — Practice Exam Questions
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First & Second Derivatives, Graphs, and Absolute Maxima & Minima — Topic Review (⏱️ <75 min
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- Study Guide (fill this in as you watch the videos!)
- Maximum and Minimum Values - Overview (p. 3) (5:52)
- Critical Numbers and the First Derivative Test (p. 4-7) (20:21)
- Inflection Points and Concavity (p. 8-9) (10:26)
- The Second Derivative Test (for Local Extrema) (p. 10-11) (6:16)
- Graphing & Curve Sketching (p. 12-15) (22:47)
- Finding Absolute Extrema (p. 16-17) (9:21)
First & Second Derivatives, Graphs, and Absolute Maxima & Minima — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Critical Numbers and Increasing/Decreasing Behavior Practice Exam Solutions (8:22)
- Absolute Extrema Practice Exam Solutions (5:15)
- Relative Extrema with the First Derivative Test Practice Exam Solutions (6:17)
- Concavity Practice Exam Solutions (8:48)
- The Second Derivative Test Practice Exam Solutions (8:16)
- Graphing Practice Exam Solutions (15:51)
Optimization — Topic Review (⏱️ <21 min)
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Optimization — Practice Exam Questions
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L'Hôpital's Rule — Topic Review (⏱️ <25 min)
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L'Hôpital's Rule — Practice Exam Questions
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Antiderivatives & Indefinite Integrals — Topic Review (⏱️ <22 min)
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Antiderivatives & Indefinite Integrals — Practice Exam Questions
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Definite Integrals & The Fundamental Theorem of Calculus — Topic Review (⏱️ <45 min)
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Definite Integrals & The Fundamental Theorem of Calculus — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Approximating Area Under the Curve Practice Exam Solutions (7:46)
- Properties of Definite Integrals Practice Exam Solutions (7:37)
- Evaluating Definite Integrals Using Geometry Practice Exam Solutions (4:35)
- The Average Value of a Function Practice Exam Solutions (2:40)
Substitution — Topic Review (⏱️ <35 min)
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Substitution — Practice Exam Questions
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Area Between Curves & Integral Applications — Topic Review (⏱️ <75 min)
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Area Between Curves & Integral Applications — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Area Between Curves Practice Exam Solutions (14:51)
- Consumers' & Producers' Surplus Practice Exam Solutions (22:46)
- Continuous Income Streams Practice Exam Solutions (21:54)
- Annuities Practice Exam Solutions (9:21)
- Probability Practice Exam Solutions (7:33)
[OPTIONAL] Sh*t You Forgot from Algebra 1
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- Study Guide (fill this in as you watch the videos!)
- 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)
- Basics of Graphing - Plotting Points to Graph an Equation (p. 21-22) (5:40)
- Basics of Graphing - Finding Intercepts from a Graph (p. 23) (1:33)
- Basics of Graphing - 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)
[OPTIONAL] Sh*t You Forgot from Algebra 2
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- Study Guide (fill this in as you watch the videos!)
- 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 (Rational Expressions) (p. 14-16) (10:16)
- Adding and Subtracting Fractions (Rational Expressions) (p. 17-18) (16:24)
- Simplifying Complex Fractions (Rational Expressions) (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)
- Some Perfect Roots You Should Memorize (p. 25) (5:00)
- Simple Interest Word Problems (p. 24) (3:47)
- 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)
[OPTIONAL] Sh*t You Forgot from Geometry
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- Study Guide (fill this in as you watch the videos!)
- 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)
Your Math Tutor: Marty
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!
Hit him up at marty@crambetter.com.
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