Lesson 4 and 5- Pre-calculus review (Trig) |
Lesson 6 and 7- Functions, domain and range
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Lesson 9- Log Review
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Lesson 11- Continuity and Limits
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Lesson 14- Limit of a Function
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Lesson 15- Interval Notation
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Lesson 16- Log Review
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Lesson 17- Limits involving infinity, properties of limits
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Lesson 19- Tangent Lines and Derivative Notation
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Lesson 18- Function Composition
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Lesson 24- Power Rule
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Lesson 25- Properties of Derivatives
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Lesson 26- Derivatives of ln|x|, cos(x), sin(x), and e^x, and exponential growth and decay problems
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Lesson 27- Finding the equation of a tangent line, and higher derivatives
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Lesson 28- Graphing Rational Functions
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Lesson 29 and 31- Relating f, f', and f", Differentials, and the Product Rule
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Lesson 32- Antiderivative, the Indefinite Integral
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Lesson 33- More Graphing, functions with even or odd powers/exponents
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Lesson 34- Implicit Differentiation
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Lesson 35- Properties of Integrals, Reverse Power Rule, Integral of sin(x), cos(x), 1/x, and e^x
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Lesson 36- Critical Numbers, Local Extrema
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Lesson 37- Chain Rule
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Lesson 38- Properties of Integrals (Integral Addition)
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Lesson 40- Derivative Application to Position, Velocity, and Acceleration, and Normal Lines
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Lesson 39- Area Under the Curve (Riemann Sums)
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Lesson 41- Graphing Functions with Repeating Factors
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Lesson 42- Quotient Rule
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Lesson 43- More on Area Under the Curve
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Lesson 44- Symmetric Derivative and More on Differentials
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Lesson 45- Relating f, f', f", and Maximum and Minimums
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Lesson 46- Related Rates
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Lesson 47- Definite Integrals and applying them to area under the curve
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Lesson 49- Second Derivative Test
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Lesson 51- Integration by Guessing
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Lesson 52- Optimization Problems
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Lesson 53- How to calculate a definite integral on a TI-84
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Lesson 54- Particle Motion
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Lesson 56- More Integration by Guessing
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Lesson 57- Properties of Definite Integrals
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Lesson 59- Computing Areas Using Definite Integrals
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Lesson 60- Finding the Area Between Two Curves
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Lesson 61- Playing Games (finding the answers given information about f, f', and f")
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Lesson 62- Integration Application (Work, Rates, etc.)
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Lesson 63- Extreme Value Theorem, Finding Absolute Maxima and Minima
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Lesson 64- Derivatives of arcsin, arccos, arctan, arcsec, arccsc, and arccot
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Lesson 65- Acceleration Due to Gravity
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Lesson 67- Finding Areas in Terms of y
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Lesson 66- U-Substitution
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Lesson 68- Even and Odd Functions
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Lesson 71- Volumes of a Solid of Revolution
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Lesson 72- Derivatives of (a^x), log (a^x), and Functions Involving Absolute Values
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Lesson 73- Integrals of (a^x) and ln(x)
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Lesson 75- Intermediate Value Theorem (IVT) and More on Continuity of Functions
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Lesson 78- Particle Motion
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Lesson 79- L'Hopital's Rule
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Lesson 81- Finding the Volume of a Solid Using Washers
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Lesson 82- Differentiability and Continuity
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Lesson 84- Logarithmic Differentiation
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Lesson 86- Rules of Even and Odd Functions
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Lesson 85- Mean Value Theorem (MVT), Rolle's Theorem, and Applications of MVT
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Lesson 88- Differential Equations and Separation of Variables
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Lesson 89- Average Value of a Function and Mean Value Theorem for Integrals
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Lesson 90- Particle Motion
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Lesson 92- Derivative of Inverse Function
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Lesson 94- Finding Volume of a Solid of Revolution via Revolving around a line (that is not the x or y axes)
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Lesson 95- Trapezoid Rule
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Lesson 96- Derivative of Functions Involving an Absolute Value and Evaluating Definite Integrals Involving an Absolute Value
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Lesson 97- Solids Defined by Cross Sections
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Lesson 98 and 136- Fundamental Theorem of Calculus Part 2
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Lesson 104- Slope Fields
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Lesson 124- Finding the Second Derivative Given an Implicit Function
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