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Limits - The Basics — Topic Review (⏱️ <69 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) (5:36)
- Indeterminate Forms (p. 8) (2:42)
- Evaluating Limits Algebraically - Piecewise Functions (p. 9) (5:26)
- Evaluating Limits Algebraically - 0/0 Form (p. 10-14) (21:28)
- Evaluating Infinite Limits - Number/0 Form (p. 15) (5:56)
- Evaluating Infinite Limits - Knowing Graphs (p. 16-17) (5:18)
- The Squeeze Theorem (p. 18) (4:42)
- Limits of Trig Functions (p. 19-20) (6:33)
Limits - The Basics — Practice Exam Questions
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Applications of Limits — Topic Review (⏱️ <67 min)
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Applications of Limits — Practice Exam Questions
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Definition of the Derivative & Differentiability — Topic Review (⏱️ <55 min)
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Definition of the Derivative & Differentiability — Practice Exam Questions
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Derivative Rules — Topic Review (⏱️ <65 min)
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- Study Guide (fill this in as you watch the videos!)
- Derivative Rules - Overview (p. 3-4) (7:52)
- Derivatives of Polynomials and Exponents (p. 5) (11:44)
- Product and Quotient Rules (p. 6-7) (12:35)
- Finding Tangent and Normal Lines (p. 8-9) (7:31)
- Horizontal and Vertical Tangent Lines (p. 10) (3:26)
- Derivatives of Trig Functions (p. 11-12) (8:25)
- The Chain Rule (p. 13-14) (12:27)
Derivative Rules — Practice Exam Questions
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Implicit Differentiation and Rates of Change Applications — Topic Review (⏱️ <97 min)
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- Study Guide (fill this in as you watch the videos!)
- Implicit Differentiation (p. 3-5) (17:22)
- Logarithmic Differentiation (p. 6-8) (13:02)
- Derivatives of Inverse Functions (p. 9) (6:48)
- Derivatives of Inverse Trig Functions (p. 10-11) (8:34)
- Rates of Change Applications - Motion of Particles (p. 12-14) (17:04)
- Rates of Change Applications - Economics (p. 15) (9:20)
- Rates of Change Applications - Chem and Bio (p. 16-17) (5:21)
- Exponential Growth and Decay (p. 18-20) (16:05)
- Compound Interest (p. 21) (3:34)
Implicit Differentiation and Rates of Change Applications — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Implicit Differentiation Practice Exam Solutions (12:34)
- Logarithmic Differentiation Practice Exam Solutions (14:11)
- Derivatives of Inverse Functions Practice Exam Solutions (8:01)
- Derivatives of Inverse Trig Functions Practice Exam Solutions (7:56)
- Rate of Change Applications Practice Exam Solutions (21:27)
Related Rates, Linear Approximations, and Differentials — Topic Review (⏱️ <56 min)
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Related Rates, Linear Approximations, and Differentials — Practice Exam Questions
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Hyperbolic Functions — Topic Review (⏱️ <6 min)
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Hyperbolic Functions — Practice Exam Questions
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Maxima and Minima, Curve Sketching, and The Mean Value Theorem — Topic Review (⏱️ <87 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)
- Finding Absolute Extrema (p. 8-9) (9:21)
- Inflection Points and Concavity (p. 10-11) (10:26)
- The Second Derivative Test (for Local Extrema) (p. 12-13) (6:16)
- Graphing (p. 14-17) (22:47)
- Rolle’s Theorem and The Mean Value Theorem (p. 18-20) (11:48)
Maxima and Minima, Curve Sketching, and The Mean Value Theorem — 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 (9:45)
- Relative Extrema with The First Derivative Test Practice Exam Solutions (15:56)
- Concavity Practice Exam Solutions (8:48)
- The Second Derivative Test Practice Exam Solutions (8:16)
- Graphing Practice Exam Solutions (15:51)
- Rolle's Theorem and The Mean Value Theorem Practice Exam Solutions (8:13)
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 and Indefinite Integrals, Initial Value Problems, and Motion — Topic Review (⏱️ <37 min)
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Antiderivatives and Indefinite Integrals, Initial Value Problems, and Motion — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Basic Antiderivatives/Indefinite Integrals Practice Exam Solutions (2:55)
- Harder Antiderivatives/Indefinite Integrals Practice Exam Solutions (5:34)
- Initial Value Problems Practice Exam Solutions (2:18)
- Motion Problems Practice Exam Solutions (16:13)
Newton's Method — Topic Review (⏱️ <19 min)
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Newton's Method — Practice Exam Questions
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Definite Integrals, Area, and Average Value of a Function — Topic Review (⏱️ <99 min)
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- Study Guide (fill this in as you watch the videos!)
- Approximating Area Under the Curve (p. 3-6) (15:59)
- The Definite Integral (p. 7-10) (17:09)
- Evaluating Definite Integrals of Even and Odd Functions (p. 11-12) (9:26)
- Evaluating Definite Integrals Using Geometry (p. 13-15) (11:07)
- Comparison Property (p. 16-17) (10:10)
- Finding the Definite Integral Using Limits (p. 18-21) (29:22)
- The Average Value of a Function (p. 22) (6:01)
Definite Integrals, Area, and Average Value of a Function — 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)
- Finding the Definite Integral Using Limits Practice Exam Solutions (7:47)
- The Average Value of a Function Practice Exam Solutions (4:51)
Fundamental Theorem of Calculus and Applications — Topic Review (⏱️ <31 min)
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Fundamental Theorem of Calculus and Applications — Practice Exam Questions
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Substitution — Topic Review (⏱️ <44 min)
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Substitution — Practice Exam Questions
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[OPTIONAL] Sh*t You Forgot from Precalc
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- Study Guide (fill this in as you watch the videos!)
- Special Products and Factoring (p. 3-6) (19:55)
- Ways to Represent a Function (p. 7-8) (7:49)
- Finding the Domain of a Function (p. 9) (4:31)
- Piecewise Functions (p. 10) (9:29)
- Even vs Odd vs Neither (p. 11-12) (6:02)
- Increasing, Decreasing, Constant (p. 13) (2:57)
- Essential Functions (p. 14-19) (15:15)
- Transforming Functions (p. 20-22) (12:22)
- Combinations of Functions (p. 23) (4:11)
- Composite Functions (p. 24) (6:26)
- Exponential Functions (p. 25) (5:01)
- Inverse Functions (p. 26-28) (11:28)
- Logarithms (p. 29-31) (9:58)
- Exponents and Logs - Side by Side (p. 32-36) (11:19)
- Linear Functions (p. 37-39) (10:20)
- Solving Inequalities (p. 40-41) (10:50)
- Rational Functions (p. 42-45) (16:34)
[OPTIONAL] Sh*t You Forgot from Trig
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- Study Guide (fill this in as you watch the videos!)
- Trig Functions (p. 3) (4:25)
- The Unit Circle (p. 4-7) (17:35)
- Trig Identities (p. 8-9) (7:39)
- Solving Trig Equations and Inequalities (p. 10-11) (16:13)
- Inverse Trig Overview (p. 12-13) (7:46)
- Evaluating Mixed Trig Function Expressions (p. 14-17) (10:47)
- Evaluating Mixed Trig Function Expressions with Variables (p. 18) (3:50)
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 [email protected].
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