Videos for Calculus I
The section numbers below are for the Calculus, 10th edition, book by Larson & Edwards. If your class is using a different book, just look at the titles instead of the section numbers.
| Book Section | Topic | Video Title (ID Number, Author, Length) |
| Review |
Quadratic Formula to Solve Quadratic Equations (20111053, Ellen Turnell, 19:11) Factoring Review (20111239, Ellen Turnell, 11:10) |
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| Review: Functions |
Properties of Functions (20111229, Ellen Turnell, 14:11) Difference Quotient (20111054, Ellen Turnell, 10:40) Difference Quotient (20111226, Ellen Turnell, 7:17) Domain of a Function (20111061, Ellen Turnell, 29:31) Domain of a Function (20111225, Ellen Turnell, 16:50) Function Composition (20111227, Ellen Turnell, 7:58) Domain of Composite Functions (20111228, Ellen Turnell, 13:41) Asymptotes and Holes (20111232, Ellen Turnell, 7:32) Graphing Rational Functions (20111233, Ellen Turnell, 17:30) Basic Functions (20111062, Ellen Turnell, 12:15) Algebra of Functions (20111087, Ellen Turnell, 16:14) Relations and Functions (20151003, Isabella Fisher, 34:49) Interpreting a Graph (20121294, Ryan Braatz, 1:27) Verifying Points on a Graph (20121404, Ryan Braatz, 1:16) Definition of a Function (20121405, Ryan Braatz, 5:49) Functions as Machines (20121406, Ryan Braatz, 2:19) Evaluating Functions I (20121407, Ryan Braatz, 2:09) Evaluating Functions II (20121408, Ryan Braatz, 1:39) Evaluating Functions III (20121409, Ryan Braatz, 1:15) Evaluating Functions IV (20121410, Ryan Braatz, 1:56) Evaluating Functions V (20121411, Ryan Braatz, 1:32) Vertical Line Test (20121412, Ryan Braatz, 3:31) Matching Graphs (20121418, Ryan Braatz, 4:45) Creating Graphs (20121419, Ryan Braatz, 3:18) Graph Interpretation (20121425, Ryan Braatz, 2:49) Graph Interpretation II (20121426, Ryan Braatz, 1:23) Graph Interpretation III (20121427, Ryan Braatz, 2:29) Introduction to Greatest Integer Function (20121436, Ryan Braatz, 3:05) Area Function (20121446, Ryan Braatz, 4:27) Area Function II (20121447, Ryan Braatz, 3:41) Quadratic Function Rule (20121488, Ryan Braatz, 9:02) |
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| Review: Piecewise Functions | Piecewise Functions (20111231, Ellen Turnell, 12:32) Function Value (20151018, Isabella Fisher, 6:42) Evaluate Piecewise Functions & Analyze Graphs (20111056, Ellen Turnell, 19:32) Graphing Piecewise Functions (20111064, Ellen Turnell, 27:59) Graphing Piecewise Functions Problems 1-2 (20151019, Isabella Fisher, 13:05) Graphing Piecewise Functions Problems 3-4 (20151021, Isabella Fisher, 11:49) Piecewise Defined Function (20121428, Ryan Braatz, 8:50) Piecewise Defined Function II (20121429, Ryan Braatz, 8:50) Piecewise Graphs and Compositions (20121443, Ryan Braatz, 11:16) Piecewise Word Problem Tax (20121444, Ryan Braatz, 7:25) Piecewise Defined Function Equation (20121445, Ryan Braatz, 2:16) Absolute Value as a Piecewise Defined Function (20121434, Ryan Braatz, 5:47) Absolute Value as a Piecewise Defined Function II (20121435, Ryan Braatz, 3:00) |
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| Review: Inverse Functions | Basics oF Inverse Functions (20241026, Julayne Sallay, 13:59) Verifying Inverse Functions (20241027, Julayne Sallay, 21:22) |
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| Review: Rational Functions | Vertical Asymptotes & Holes (20241046, Julayne Sallay, 14:57) Horizontal Asymptotes (20241047, Julayne Sallay, 21:44) Graphing Rational Functions Part 1 (20241048, Julayne Sallay, 17:53) Graphing Rational Functions Part 2 (20241049, Julayne Sallay, 16:57) |
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| Review: Exponential Functions | Graphing Exponential Functions (20241052, Julayne Sallay, 18:29) Transformations (20241053, Julayne Sallay, 14:44) Base e Functions (20241054, Julayne Sallay, 12:21) Graphing Exponential Functions (20151048, Isabella Fisher, 9:34) Transformations of Exponential Functions (20151049, Isabella Fisher, 13:56) Equations w/ Rational (Fractional) Exponents (20111029 Ellen Turnell, 7:58) Exponential Equations (20111080, Ellen Turnell, 14:04) Exponential Equations (20111236, Ellen Turnell, 8:21) Same Base Exponential Equations (20111241, Ellen Turnell, 8:30) Different Base Exponential Equations (20111242, Ellen Turnell, 13:47) |
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| Review: Exponential Models | Exponential Models Problems 1-3 (20111237, Ellen Turnell, 14:27) Exponential Models Problems 4-5 (20111238, Ellen Turnell, 9:10) |
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| Review: Logarithmic Functions | Inverses (20241055, Julayne Sallay, 15:15) Changing Forms of Logs (20241056, Julayne Sallay, 19:07) Graphing Log Functions (20241057, Julayne Sallay, 15:06) Transformations of Log Functions (20241058, Julayne Sallay, 16:29) Properties of Logs (20151050, Isabella Fisher, 8:15) Graphing Log Functions (20151051, Isabella Fisher, 16:11) Logarithmic Equations (20111235, Ellen Turnell, 13:38) Logarithmic Equations (20111081, Ellen Turnell, 11:47) Natural Logarithmic Functions (20111078, Ellen Turnell, 12:45) |
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| Review: Properties of Logarithms | Properties of Logarithms (10171061, Myrna Clark, 1:23:48) Properties of Logarithms (20111079, Ellen Turnell, 13:41) Laws of Logarithms (20111169, Ellen Turnell, 6:18) Properties of Logarithms (20111234, Ellen Turnell, 17:35) Basics: Properties of Logs (20241059,Julayne Sallay, 11:58) Expanding/Condensing Logs (20241060, Julayne Sallay, 11:29) Change of Base (20241061, Julayne Sallay, 9:34) Properties of Logarithms (20151052, Isabella Fisher, 12:11) Exponential and Log Form (20111243, Ellen Turnell, 12:35) Expanding/Condensing Logs (20111244, Ellen Turnell, 8:19) |
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| Review: Solving Exponential and Logarithmic Equations | Exponential Equations: Common Base (20241062, Julayne Sallay, 13:20) Exponential Equations: Uncommon Base (20241063, Julayne Sallay, 13:30) Solving Log Equations (20241064, Julayne Sallay, 20:06) Exponential Equations: Common Base (20151053, Isabella Fisher, 5:25) Exponential Equations: Uncommon Base (20151054, Isabella Fisher, 17:39) Log Equations (20151055, Isabella Fisher, 5:00) Log Equations (1 to 1 Property) (20151056, Isabella Fisher, 8:17) |
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| Distance And Absolute Value | Change in a Variable #1 (20121317, Ryan Braatz, 1:30) Change in a Variable #2 (20121318, Ryan Braatz, 1:57) Change in a Variable #3 (20121319, Ryan Braatz, 1:10) Change in a Variable #4 (20121320, Ryan Braatz, 1:04) Distance and Absolute Value #6 (20121321, Ryan Braatz, 3:16) Distance and Absolute Value #7 (20121322, Ryan Braatz, 4:08) Distance and Absolute Value #8 (20121323, Ryan Braatz, 5:13) Distance and Absolute Value #9 (20121324, Ryan Braatz, 3:57) Distance and Absolute Value #10 (20121325, Ryan Braatz, 1:57) Distance and Absolute Value #11 (20121326, Ryan Braatz, 6:30) Distance and Absolute Value #12 (20121327, Ryan Braatz, 5:46) Distance and Absolute Value #13 (20121328, Ryan Braatz, 1:39) Distance and Absolute Value #15 (20121329, Ryan Braatz, 4:08) Distance and Absolute Value #16 (20121330, Ryan Braatz, 10:19) Distance and Absolute Value #17 (20121331, Ryan Braatz, 5:51) Distance and Absolute Value #18 (20121332, Ryan Braatz, 13:21) Distance and Absolute Value #19 (20121333, Ryan Braatz, 7:04) Distance and Absolute Value #20 (20121334, Ryan Braatz, 10:23) Distance #5 (20121357, Ryan Braatz, 12:26) Distance #6 (20121358, Ryan Braatz, 6:05) Distance #7 (20121359, Ryan Braatz, 19:42) Distance #8 (20121360, Ryan Braatz, 1:49) Formal Definition of Absolute Value (Critical for Calculus) (20121430, Ryan Braatz, 13:06) Absolute Value and Square Roots (20121431, Ryan Braatz, 3:21) Absolute Value and Square Roots II 20121432, (Ryan Braatz, 1:29) Absolute Value and Square Roots III (20121433, Ryan Braatz, 3:42) Absolute Value and Delta x Distance (20121366, Ryan Braatz, 3:08) Determining the Distance Between 2 Points (20121382, Ryan Braatz, 6:48) Determining the Distance Between 2 Points II (20121383, Ryan Braatz, 1:33) Finding the Distance Between 2 Values (20121388, Ryan Braatz, 4:53) Finding the Distance Between 2 Values II (20121389, Ryan Braatz, 3:37) Finding the Distance Between 2 Values III (20121390, Ryan Braatz, 1:40) Equidistant from Two Points (20121371, Ryan Braatz, 5:04) |
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| Graphs and Composition of Functions | Interpreting a Velocity Graph I (20121413, Ryan Braatz, 4:10) Interpreting a Velocity Graph II (20121414, Ryan Braatz, 5:49) Interpreting a Velocity Graph III (20121415, Ryan Braatz, 2:59) Interpreting a Velocity Graph IV (20121416, Ryan Braatz, 3:29) Interpreting a Velocity Graph V (20121417, Ryan Braatz, 6:20) Composition of Functions (20121437, Ryan Braatz, 3:39) Composition of Functions II (20121438, Ryan Braatz, 1:49) Graphs and Function Values (20121439, Ryan Braatz, 5:19) Graphs and Function Values II (20121440, Ryan Braatz, 3:34) Composition Using Tables (20121441, Ryan Braatz, 4:45) Composition Using Graphs (20121442, Ryan Braatz, 3:03) Cartesian Plane (20121368, Ryan Braatz, 1:35) |
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| Difference Quotient and Midpoint | Difference Quotient (20121420, Ryan Braatz, 10:10) Difference Quotient (20121423, Ryan Braatz, 2:21) Difference Quotient II (20121424, Ryan Braatz, 6:22) Midpoint #21 (20121335, Ryan Braatz, 1:53) Midpoint #22 (20121336, Ryan Braatz, 2:40) Midpoint #23 (20121337, Ryan Braatz, 5:04) Midpoint Between Two Real Numbers (20121367, Ryan Braatz, 1:17) Determining the Midpoint (20121384, Ryan Braatz, 1:41) Midpoint of 2 Real Numbers (20121394, Ryan Braatz, 1:18) |
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| Circles and Pythagorean Theorem | Pythagorean Theorem Application (20121338, Ryan Braatz, 3:09) Pythagorean Theorem Distance #2 (20121339, Ryan Braatz, 7:06) Pythagorean Theorem Distance #3 (20121340, Ryan Braatz, 1:50) Pythagorean Theorem Distance #4 (20121341, Ryan Braatz, 1:58) Pythagorean Theorem Distance #5 (20121342, Ryan Braatz, 9:56) Pythagorean Theorem Distance #6 (20121343, Ryan Braatz, 6:35) Generating Equation Circle (20121344, Ryan Braatz, 4:15) Generating Equation Circle II (20121345, Ryan Braatz, 4:28) Equation of a Circle (20121370, Ryan Braatz, 4:27) Example of a Circle (20121372, Ryan Braatz, 3:22) Finding the Distance Between 2 Points Using the Pythagorean Theorem (20121391, Ryan Braatz, 3:57) Finding the Equation of a Circle: General Form (20121392, Ryan Braatz, 3:03) Standard Form of a Circle (20121403, Ryan Braatz, 3:58) |
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| Delta x and Number Line | Explanation of Real Number Line (20121362, Ryan Braatz, 6:22) Change in Position Between Real Numbers (20121363, Ryan Braatz, 2:57) Change in Position Between Real Numbers II (20121364, Ryan Braatz, 2:48) Explanation of Delta x (20121365, Ryan Braatz, 5:41) Change in a Variable (20121378, Ryan Braatz, 1:27) Change in Position(20121379, Ryan Braatz, 3:00) Change in Position II (20121380, Ryan Braatz, 2:53) Delta X and the Real Numbers (20121381, Ryan Braatz, 10:22) |
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| Lines and Slopes | Slope #1 (20121346, Ryan Braatz, 2:39) Slope #2 (20121347, Ryan Braatz, 3:35) Slope #3a (20121348, Ryan Braatz, 1:14) Slope #3b (20121349, Ryan Braatz, 1:01) Slope #3c (20121350, Ryan Braatz, 3:27) Slope #3d (20121351, Ryan Braatz, 3:40) Slope #3e (20121352, Ryan Braatz, 2:19) Slope #3f (20121353, Ryan Braatz, 2:38) Slope #3g (20121354, Ryan Braatz, 2:52) Slope #3h (20121355, Ryan Braatz, 1:54) Slope #4 (20121356, Ryan Braatz, 5:12) Equation of a Line (20121361, Ryan Braatz, 1:31) An Explanation of Slope (20121373, Ryan Braatz, 7:48) Calculating Slope Between Points (20121374, Ryan Braatz, 4:26) Calculating Slope Between Points II (20121375, Ryan Braatz, 6:16) Calculating Slope Between Points III (20121376, Ryan Braatz, 3:04) Formulae for Lines (20121377, Ryan Braatz, 2:42) Explaining Slope (20121385, Ryan Braatz, 4:22) Finding the Slope and Midpoint (20121393, Ryan Braatz, 2:21) |
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| Absolute Value Equations and Inequalities | Solving Absolute Value Equations I (20121396, Ryan Braatz, 6:19) Solving Absolute Value Equations II (20121397, Ryan Braatz, 5:28) Solving Absolute Value Equations III (20121398, Ryan Braatz, 1:22) Solving Absolute Value Inequalities I (20121399, Ryan Braatz, 5:05) Solving Absolute Value Inequalities II (20121400, Ryan Braatz, 3:51) Solving Absolute Value Inequalities III (20121401, Ryan Braatz, 5:34) Solving Absolute Value Inequalities IV (201214102, Ryan Braatz, 10:05) |
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| Graphing Trig Functions | Graphing Trig Functions: Sine and Cosine (20111196, Ellen Turnell, 15:45) Tangent and Cotangent Graphs (20111197, Ellen Turnell, 9:42) Secant and Cosecant Graphs (20111198, Ellen Turnell, 8:27) |
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| Projectile Motion | Projectile Motion (20111213, Ellen Turnell, 13:26) Projectile Motion II (20111212, Ellen Turnell 7:55) |
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| Average Rate of Change | Average Rate of Change (20111230, Ellen Turnell, 12:26) Estimating Instantaneous Rates of Change (20121291, Ryan Braatz, 4:44) Average Rate of Change #3b (20121292, Ryan Braatz, 2:22) Instantaneous Rate of Change (20121293, Ryan Braatz, 3:50) Interpreting a Graph (20121294, Ryan Braatz, 1:27) Average Rate of Change #4b (20121295, Ryan Braatz, 2:50) Average Rate of Change #4c (20121296, Ryan Braatz, 2:40) Average Rate of Change #4d (20121297, Ryan Braatz, 1:54) Average Rate of Change #4e (20121298, Ryan Braatz, 3:41) Average Rate of Change I (20121314, Ryan Braatz, 6:31) Average Rate of Change II (20121315, Ryan Braatz, 4:13) Average Rate of Change III (20121316, Ryan Braatz, 3:44) Finding Rate of Change (20121387, Ryan Braatz, 4:30) Slope by Relating y to x (20121571, Ryan Braatz, 6:19) Slope by Rate of Change (20121572, Ryan Braatz, 8:21) Average vs Instantaneous (20121573, Ryan Braatz, 8:10) Average Rate of Change (20121574, Ryan Braatz, 9:24) Rate of Change (20121575, Ryan Braatz, 4:18) Rate of Change II (20121576, Ryan Braatz, 3:06) Rate of Change III (20121577, Ryan Braatz, 3:15) Rate of Change IV (20121578, Ryan Braatz, 8:21) Application Rate of Change (20121474, Ryan Braatz, 6:31) |
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| 1.1 | Secant Lines & Approximating the Tangent Line | Approximating the Tangent Line (20121287, Ryan Braatz, 4:33) Finding a Secant Line (20121288, Ryan Braatz, 7:15) Using a Secant Line to Describe an Average Rate of Change (20121290, Ryan Braatz, 3:16) Estimating a Tangent Line by the Secant Line (20121301, Ryan Braatz, 4:19) Finding the Secant Line with 2 Points I (20121304, Ryan Braatz, 8:51) Finding the Secant Line with 2 Points II (20121305, Ryan Braatz, 5:46) Finding the Secant Line (20121306, Ryan Braatz, 7:16) Informal Approximation of a Tangent Line (20121307, Ryan Braatz, 6:19) Using Secant Line to Approximate the Tangent Line (20121309, Ryan Braatz, 0:47) Explaining Secant and Tangent Lines (20121310, Ryan Braatz, 8:07) Using Secant Line to Approximate the Tangent Line with Desmos (20121311, Ryan Braatz, 1:06) |
| 1.2-1.3 | Finding Limits Graphically and Numerically | Limits: Graphs (20111089, Ellen Turnell, 9:26) Limits From a Graph (20111240, Ellen Turnell, 7:05) Evaluating a Limit Using a Graph (20121504, Ryan Braatz, 3:08) Evaluating Limits Using Graphs (20121491, Ryan Braatz, 8:18) Evaluating Limits (20121476, Ryan Braatz, 3:19) Evaluating Limits II (20121477, Ryan Braatz, 5:58) Evaluating Limits III (20121478, Ryan Braatz, 9:54) Evaluating Limits IV (20121479, Ryan Braatz, 6:26) Evaluating Limits V (20121480, Ryan Braatz, 4:52) Evaluating Limits with Absolute Values (20121481, Ryan Braatz, 7:36) Evaluating Limits with the Limits Laws (20121483, Ryan Braatz, 2:42) Evaluating Limits with Absolute Values (20121511, Ryan Braatz, 3:27) Limits Using Numeric Approximation (20121489, Ryan Braatz, 14:32) Informal Discussion of Limits (20121490, Ryan Braatz, 13:00) Using Limit Laws (20121492, Ryan Braatz, 21:54) Using Limit Laws II (20121493, Ryan Braatz, 4:20) Evaluating Using Limit Laws (20121505, Ryan Braatz, 2:26) Techniques for Evaluating Limits (10171076, Myrna Clark, 46:42) |
| 1.4 | Continuity & One-sided Limits | Continuity (20111149, Ellen Turnell, 10:05) Basics of Continuity (20121624, Ryan Braatz, 3:33) Showing Continuity at a Point (20121625, Ryan Braatz, 5:22) Showing Discontinuity on a Step Function (20121626, Ryan Braatz, 3:40) Proving Continuity (20121627, Ryan Braatz, 3:07) Showing Continuity at a Point II (20121628, Ryan Braatz, 5:57) Intermediate Value Theorem (20121629, Ryan Braatz, 5:24) Using the Intermediate Value Theorem (20121630, Ryan Braatz, 7:10) Bisection Method (20121631, Ryan Braatz, 11:57) Limit of Difference Quotient (20121525, Ryan Braatz, 7:45) Differentiation Implies Continuity (20121530, Ryan Braatz, 12:21) Continuous but not Differentiable (20121531, Ryan Braatz, 8:20) Description of Continuity (20121494, Ryan Braatz, 5:30) Examples of Limits Using Continuity (20121495, Ryan Braatz, 6:10) Examples of Limits Using Continuity II (20121496, Ryan Braatz,3:11) Examples of Limits Using Continuity III (20121497, Ryan Braatz, 3:26) One-Sided Limit Explanation (20121498, Ryan Braatz, 7:01) One-sided Limits (20111148, Ellen Turnell, 9:54) Determining the Limit of a Piecewise Function (20121448, Ryan Braatz, 3:02) |
| 1.5 | Infinite Limits | Limits : Indeterminate Form (20111147, Ellen Turnell, 12:24) Infinite Limits Explained (20121524, Ryan Braatz, 5:08) Evaluating Limits at Infinity (20121482, Ryan Braatz, 3:08) Graphical Explanation of Infinite Limits (20121499, Ryan Braatz, 5:18) Limits Involving Infinity: Rational Functions (20121500, Ryan Braatz, 7:50) Limits Involving Infinity: Using Graphs (20121501, Ryan Braatz, 1:29) Limits Involving Infinity: Algebra and Graphs (20121502, Ryan Braatz, 14:26) Using Tables, Laws, and Continuity (20121503, Ryan Braatz, 11:20) Evaluating Limits at Infinity (20121506, Ryan Braatz, 2:03) Evaluating Limits at Infinity Graphically (20121507, Ryan Braatz, 1:58) Evaluating Limits at Infinity II (20121508, Ryan Braatz, 4:12) Evaluating Limits (20121509, Ryan Braatz, 6:01) Evaluating Limits at Infinity III (20121510, Ryan Braatz, 0:41) Evaluating Limits at Infinity (20121522, Ryan Braatz, 7:51) Evaluating Limits Using Tables, Laws, and Continuity (20121523, Ryan Braatz, 11:10) |
| Definition of the Limit | Epsilon and Delta Definition I (20121512, Ryan Braatz, 6:57) Epsilon and Delta Definition II (20121513, Ryan Braatz, 8:25) Epsilon and Delta Definition III (20121514, Ryan Braatz, 8:30) Epsilon and Delta Definition IV (20121515, Ryan Braatz, 5:30) Epsilon and Delta Definition V (20121516, Ryan Braatz, 11:25) Epsilon and Delta Definition VI (20121517, Ryan Braatz, 7:03) Epsilon and Delta Definition VII (20121518, Ryan Braatz, 6:55) Solving Absolute Value Inequalities with Delta I (20121519, Ryan Braatz, 10:02) Solving Absolute Value Inequalities with Delta II (20121520, Ryan Braatz, 13:03) Solving Absolute Value Inequalities with Epsilon (20121521, Ryan Braatz, 6:47) |
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| 2.1-2.2 | Basic Differentiation Rules | Evaluating with the Definition of the Derivative (20121526, Ryan Braatz, 8:31) Using the Formal Definition of the Derivative (20121527, Ryan Braatz, 11:29) Using the Definition of the Derivative (20121528, Ryan Braatz, 7:52) Using the Definition of the Derivative II (20121529, Ryan Braatz, 11:43) Leibniz Notation (20121532, Ryan Braatz, 5:07) Finding Derivative and Velocity (20121533, Ryan Braatz, 8:44) Derivative Notation Linear Example (20121452, Ryan Braatz, 8:54) Derivative General Quadratic Function (20121453, Ryan Braatz, 9:11) Derivative Quadratic Function at a Point (20121454, Ryan Braatz, 9:31) Derivative Quadratic Function (20121455, Ryan Braatz, 8:37) Finding the Formula for the Derivative (20121541, Ryan Braatz, 2:05) The Derivative (20111151, Ellen Turnell, 14:49) The Derivative II (20111152, Ellen Turnell, 13:19) Power Rule and Constant Rule of Differentiation (20111153, Ellen Turnell, 20:21) Power Rule: Ex 1(20121536, Ryan Braatz, 4:07) Power Rule with Coefficients (20121538, Ryan Braatz, 4:03) Composite Derivatives (20121540, Ryan Braatz, 1:34) Power Rule: Ex 5 (20121542, Ryan Braatz, 4:31) Power Rule: Ex 6 (20121543, Ryan Braatz, 2:07) Power Rule: Ex 7 (20121544, Ryan Braatz, 7:33) Finding the Slope of the Tangent Line (20121545, Ryan Braatz, 3:46) Rate of Change (20121546, Ryan Braatz, 2:33) Derivatives of Sums, Constant Multiples, Powers, Sines, and Cosines (10171024, Myrna Clark, 39:00) |
| 2.3 | Product and Quotient Rules and Higher Order Derivatives | Basics of Product Rule (20121547, Ryan Braatz, 2:02) Product Rule: Ex 2 (20121549, Ryan Braatz, 4:31) Product Rule: Ex 3 (20121550, Ryan Braatz, 6:22) Product Rule: Ex 5 (20121551, Ryan Braatz, 5:53) Product Rule with Trig Functions (20121700, Ryan Braatz, 14:01) Product Rule with Trig Functions II (20121701, Ryan Braatz, 9:49) Deriving Remaining Derivatives of Trigonometric Functions (20121702, Ryan Braatz, 1:11) Product Rule with Trig Functions III (20121703, Ryan Braatz, 3:04) Derivatives of Products, Quotients, Secants, and Tangents (10171023, Myrna Clark, 51:24) Product and Quotient Rules of Differentiation (20111154, Ellen Turnell, 21:17) Product and Quotient Rule with Trig Functions (20121704, Ryan Braatz, 18:53) Quotient Rule Explained (20121552, Ryan Braatz, 2:37) Quotient Rule: Ex 5 (20121553, Ryan Braatz, 2:18) Quotient Rule: Ex 6 (20121554, Ryan Braatz, 6:16) Quotient Rule: Ex 7 (20121556, Ryan Braatz, 4:18) Integer Power Rule Derivation (20121557, Ryan Braatz, 4:11) Power Rule with Negative Exponents (20121558, Ryan Braatz, 0:37) Quotient Rule: Ex 9 (20121559, Ryan Braatz, 4:44) Power and Reciprocal Rule (20121560, Ryan Braatz, 3:13) Higher Order Derivatives (20111157, Ellen Turnell, 16:49) Derivative Quadratic Function Application Velocity (20121456, Ryan Braatz, 4:52) Finding Vertex Parabola Derivative (20121462, Ryan Braatz, 11:30) Derivative Quadratic Function Formula (20121463, Ryan Braatz, 3:56) Derivative at a Point Quadratic (20121465, Ryan Braatz, 7:16) Derivative Quadratic at a Point (20121466, Ryan Braatz, 4:35) Derivative Quadratic in General (20121467, Ryan Braatz, 8:29) Derivative Area of Circle is Circumference (20121469, Ryan Braatz, 5:39) |
| 2.4 | The Chain Rule | Chain Rule (General Power Rule) (20111155, Ellen Turnell, 18:53) Differentiation Using the Chain Rule (10171025, Myrna Clark, 51:24) The Chain Rule I (20121584, Ryan Braatz, 6:45) The Chain Rule II (20121585, Ryan Braatz, 4:30) The Chain Rule III (20121586, Ryan Braatz, 5:20) Chain and Product Rule (20121587, Ryan Braatz, 7:28) Composition Functions (20121588, Ryan Braatz, 10:01) Quotient Rule (20121590, Ryan Braatz, 2:46) Chain Rule (20121591, Ryan Braatz, 1:04) Finding the Formula for the Derivative (20121592, Ryan Braatz, 3:15) Chain Rule (20121593, Ryan Braatz, 6:46) Chain Rule II (20121594, Ryan Braatz, 3:29) Using Chain Rule (20121595, Ryan Braatz, 6:45) Chain Rule with Trig Functions (20121705, Ryan Braatz, 8:10) |
| Parametric Functions | Parametric Functions (20121604, Ryan Braatz, 7:34) Derivative of a Parametric Curve (20121605, Ryan Braatz, 11:18) Finding the Tangent Line Parametrically (20121606, Ryan Braatz, 9:37) |
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| 2.5 | Implicit Differentiation | Implicit Differentiation (10171045, Myrna Clark, 53:39) Implicit Differentiation (20111158, Ellen Turnell, 18:49) Implicit Differentiation II (20111159, Ellen Turnell, 13:31) Differentials (20111160, Ellen Turnell, 10:56) Implicit Differentiation (20121601, Ryan Braatz, 5:06) Finding the Tangent Line Implicitly (20121602, Ryan Braatz, 8:19) Implicit Differentiation II (20121603, Ryan Braatz, 7:00) |
| 2.6 | Related Rates | Related Rates (10231004, Peter Horton, 19:31) Related Rates (20121608, Ryan Braatz, 8:44) Related Rates II (20121609, Ryan Braatz, 13:19) Related Rates III (20121610, Ryan Braatz, 10:01) Related Rates IV (20121611, Ryan Braatz, 21:13) |
| 3.1-3.2 | Applications of the First Derivative | The First Derivative and Graphs (10171077, Myrna Clark, 1:04:12) Applications of the First Derivative (20111161, Ellen Turnell, 16:31) Applications of the First Derivative II (20111162, Ellen Turnell, 18:21) Absolute Extrema (20111167, Ellen Turnell, 16:44) Intro to Min and Max (20121663, Ryan Braatz, 5:46) Finding Min and Max on an Interval (20121664, Ryan Braatz, 10:25) Finding Min and Max (20121665, Ryan Braatz, 14:43) Min and Max: Local & Global (20121666, Ryan Braatz, 2:07) Extreme Value Theorem (20121667, Ryan Braatz, 4:38) Closed Interval Test for Min and Max (20121668, Ryan Braatz, 4:32 Finding Min and Max on an Interval II (20121669, Ryan Braatz, 6:27) Finding Min and Max on an Interval III (20121670, Ryan Braatz, 9:56) Finding the Largest Possible Area (20121671, Ryan Braatz, 9:35) Finding the Possible Min or Max (20121672, Ryan Braatz, 15:24) Mean Value Theorem Overview (20121676, Ryan Braatz, 4:12) Estimating Tangent Lines(20121421, Ryan Braatz, 14:23) Estimating Tangent Lines II (20121422, Ryan Braatz, 7:30) Explanation of the Tangent (20121484, Ryan Braatz, 9:50) Finding the Equation of the Tangent Line (20121485, Ryan Braatz, 8:18) Tangent Line Small Delta X (20121451, Ryan Braatz, 10:16) Slope of Tangent Line Quadratic (20121460, Ryan Braatz, 8:27) Slope of Tangent Line Linear Function (20121461, Ryan Braatz, 5:07) Finding the Y Intercept of a Tangent Line (20121470, Ryan Braatz, 5:00) Finding a Tangent Line (20121471, Ryan Braatz, 5:37) Possible Tangents to a Parabola (20121472, Ryan Braatz, 3:51) |
| 3.3 | Derivatives: Special Cases | Derivatives with Fractional Exponents (20121596, Ryan Braatz, 1:46) Power Rule with Rational Exponents (20121597, Ryan Braatz, 3:58) Derivatives with Fractional Exponents (20121598, Ryan Braatz, 3:28) Chain Rule with Fractional Exponents (20121599, Ryan Braatz, 3:06) Quotient Rule with Fractional Exponents (20121600, Ryan Braatz, 11:04) |
| 3.3 | The First Derivative Test | Determining if a Function is Increasing or Decreasing (20121633, Ryan Braatz, 2:19) Determining Sign Change in a Function (20121634, Ryan Braatz, 2:24) Determining Sign Change in a Function II (20121635, Ryan Braatz, 1:28) Using the Increasing or Decreasing Test (20121636, Ryan Braatz, 4:03) Determining Sign Change at a Point (20121637, Ryan Braatz, 3:36) Determining Sign Change at a Point II (20121638, Ryan Braatz, 2:48) The First Derivative Test (20121639, Ryan Braatz, 3:34) Matching Functions to Derivatives (20121640, Ryan Braatz, 7:04) Determining Local Minimum and Local Maximum (20121641, Ryan Braatz, 2:56) Finding Critical Values (20121642, Ryan Braatz, 9:28) Finding Critical Values II (20121643, Ryan Braatz, 5:44) Finding Critical Values III (20121644, Ryan Braatz, 2:40 |
| 3.4 | Applications of the Second Derivative | The Second Derivative and Graphs (10171077, Myrna Clark, 1:04:12) The Second Derivative Test (20121645, Ryan Braatz, 5:05) Finding Concavity (20121646, Ryan Braatz, 3:04) Analyzing Critical Values (20121647, Ryan Braatz, 5:19) Analyzing Critical Values II (20121648, Ryan Braatz, 5:50) Finding Concavity (20121649, Ryan Braatz, 9:39) Finding Point of Inflection (20121650, Ryan Braatz, 6:25) Finding Points of Inflection (20121651, Ryan Braatz, 11:39) Determining Local Min, Max, and Inflection Points from a Graph (20121652, Ryan Braatz, 1:55) Derivative Tests (20121653, Ryan Braatz, 7:27) Second Derivatives (20121580, Ryan Braatz, 14:19) Applications of the Second Derivative (20111163, Ellen Turnell, 25:27) Applications of the Second Derivative II (20111164, Ellen Turnell, 15:00) |
| 3.6 | Curve Sketching | Summary of Curve Sketching (10171074, Myrna Clark, 1:38:49) Curve Sketching: Rational Functions (20111165, Ellen Turnell, 20:22) Curve Sketching: Using Derivatives (20111166, Ellen Turnell, 30:15) Classifying Even and Odd Functions (20121654, Ryan Braatz, 8:36) Finding Asymptotes (20121655, Ryan Braatz, 10:14) Sketching a Function (20121656, Ryan Braatz, 12:27) Six Step Process of Graphing (20121657, Ryan Braatz, 13:44) Graphing Functions (20121658, Ryan Braatz, 4:38) Graphing Functions II (20121659, Ryan Braatz, 4:54) Determining if a Function is Increasing or Decreasing (20121660, Ryan Braatz, 5:29) Graphing Functions III (20121661, Ryan Braatz, 8:51) Graphing Functions IV (20121662, Ryan Braatz, 4:44) |
| 3.7 | Optimization Problems | Optimization Problems (10171058, Myrna Clark, 1:10:44) Optimization (20111168, Ellen Turnell, 18:33) Finding the Angle that a Stick Makes in a Box (20121386, Ryan Braatz, 5:07) Minimizing and Maximizing (20121673, Ryan Braatz, 22:00) Minimizing and Maximizing II (20121674, Ryan Braatz, 10:47) Optimization (20121675, Ryan Braatz, 10:00) |
| Marginal Functions | Marginal Productivity (20121582, Ryan Braatz, 2:37) Marginal Profit (20121583, Ryan Braatz, 7:23) Marginal Functions (20111156, Ellen Turnell, 17:12) |
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| 3.9 | Linear Approximation and Differentials | Finding the Equation of the Tangent Line (20121561, Ryan Braatz, 12:15) Intro Linear Approximation (20121562, Ryan Braatz, 8:25) Finding the Equation of the Tangent Line (20121563, Ryan Braatz, 10:38) Finding the Equation of the Tangent Line II (20121564, Ryan Braatz, 7:29) Introduction to Linear Approximation (20121565, Ryan Braatz, 9:32) Linear Approximation (20121566, Ryan Braatz, 4:44) Differentials (20121567, Ryan Braatz, 5:30) Linear Approximation (20121568, Ryan Braatz, 10:15) Linear Approximation II (20121569, Ryan Braatz, 7:32) Differentials II (20121570, Ryan Braatz, 5:57) Differentials (20111160, Ellen Turnell, 10:56) |
| 4.1 | Integration: Antiderivatives & Indefinite Integrals | Antiderivatives and Indefinite Integrals (10171017, Myrna Clark, 1:16:20) Basic Rules of Integration (20111173, Ellen Turnell, 18:59) Integration Using Tables (20111179, Ellen Turnell, 25:41) Review of Basic Integration Formulas (10171066, Myrna Clark, 54:36) Antiderivative I (20121612, Ryan Braatz, 6:39) Antiderivative II (20121613, Ryan Braatz, 3:03) Antiderivatives with Position and Velocity (20121614, Ryan Braatz, 6:56) Antiderivatives III (20121615, Ryan Braatz, 2:04) Antiderivatives with Position, Velocity and Acceleration (20121616, Ryan Braatz, 4:01) Antiderivatives IV (20121619, Ryan Braatz, 7:37) Antiderivatives V (20121620, Ryan Braatz, 3:38) Antiderivatives VI (20121621, Ryan Braatz, 3:21) General Antiderivatives for Position, Velocity and Acceleration (20121622, Ryan Braatz, 2:53) Antiderivatives VII (20121623, Ryan Braatz, 7:00) Some Trigonometric Antiderivatives (20121706, Ryan Braatz, 8:56) Trig Integrals (20121707, Ryan Braatz, 6:49) Trig Integrals II (20121708, Ryan Braatz, 7:01) Trig Integral III (20121709, Ryan Braatz, 13:41) |
| 4.2 | Area | Estimating the Area Under a Curve Using Rectangles (20121289, Ryan Braatz, 14:25) Estimating Area with Boxes (20121299, Ryan Braatz, 2:09) Estimating Area with Rectangles (20121300, Ryan Braatz, 8:14) Estimating the Area Under the Curve (20121302, Ryan Braatz, 14:21) Estimating the Area (20121303, Ryan Braatz, 8:39) Overestimating and Underestimating Area Under the Curve (20121308, Ryan Braatz, 9:00) Approximating the Area I (20121312, Ryan Braatz, 1:52) Approximating the Area II (20121313, Ryan Braatz, 8:33) Area Under the (20121691, Ryan Braatz, 3:37) Finding the Integral (20121692, Ryan Braatz, 0:28) Integrals Using Upper and Lower Sums (20121693, Ryan Braatz, 11:15) Area Between Curves (10171018, Myrna Clark, 1:08:36) Area Between Two Functions (20111178, Ellen Turnell, 25:32) |
| 4.3 | Riemann Sum & Definite Integrals | Riemann Sum (20111175, Ellen Turnell, 25:39) Riemann Sum (20121694, Ryan Braatz, 5:50) Definite Integrals (20121697, Ryan Braatz, 1:57) Definite Integrals II (20121698, Ryan Braatz, 2:21) Definite Integrals III (20121699, Ryan Braatz, 2:02) Definite Integral (20111177, Ellen Turnell, 18:24) |
| 4.4 | Fundamental Theorem of Calculus | Fundamental Theorem of Calculus (10171037, Myrna Clark, 58:53) Fundamental Theorem of Calculus (20111176, Ellen Turnell, 24:02) Fundamental Theorem of Calculus (20121695, Ryan Braatz, 1:55) Fundamental Theorem of Calculus II (20121696, Ryan Braatz, 0:52) |
| 4.5 | Integration by Substitution | U-Substitution for Integration (20111174, Ellen Turnell, 16:01) Integration by Substitution (10171047, Myrna Clark, 1:09:02) |
| 5.1-5.2 | Natural Logarithm: Differentiation & Integration | The Natural Logarithm & Its Derivative (10171079, Myrna Clark, 1:05:32) The Natural Logarithm & Integration (10171078, Myrna Clark, 50:28) Simplifying Natural Logs (20121713, Ryan Braatz, 2:28) Derivative of Logarithmic Function (20121717, Ryan Braatz, 5:01) Natural Logarithmic Derivatives (20121718, Ryan Braatz, 11:08) Natural Logarithmic Derivatives II (20121719, Ryan Braatz, 9:04) General Power Rule (20121720, Ryan Braatz, 4:39) Logarithmic Differentiation (20121721, Ryan Braatz, 9:15) Logarithmic Differentiation II (20121722, Ryan Braatz, 7:23) Antiderivative Formulas for Exponential and Logs (20121723, Ryan Braatz, 4:55) Logarithmic Differentiation (20121725, Ryan Braatz, 8:42) |
| 5.3 | Inverse Functions | Inverse and Derivatives of Natural Logs and Exponentials (20121715, Ryan Braatz, 5:12) |
| 5.4 | Exponential Functions: Differentiation & Integration | Derivative of Exponential Functions (20111170, Ellen Turnell, 15:09) Beginning Differentiation of Exponential Functions (20121711, Ryan Braatz, 6:09) Exponential Derivatives (20121712, Ryan Braatz, 6:05) Exponential Derivatives II (20121714, Ryan Braatz, 3:18) Product Rule with Exponential Derivatives (20121716, Ryan Braatz, 8:56) Exponential Integrals (20121724, Ryan Braatz, 4:00) |
| Proofs | Proof Distance Formula (20121369, Ryan Braatz, 4:15) Proving the General Form of a Circle (201211395, Ryan Braatz, 4:12) Proof Derivative Quadratic Difference (20121468, Ryan Braatz, 3:09) Proof Using Tangents Quadratic (20121473, Ryan Braatz, 15:40) Proving the Derivative of the Area is the Circumference (20121487, Ryan Braatz, 5:27) Proving the Power Rule (20121534, Ryan Braatz, 13:59) Proving the Power Rule II (20121535, Ryan Braatz, 11:12) Proof of Constant Multiple and Differentiation (20121537, Ryan Braatz, 4:43) Proof of Product Rule Differentation (20121548, Ryan Braatz, 6:15) Proof Quotient Rule (20121555, Ryan Braatz, 12:10) Proof Sum Rule Differentiation (20121539, Ryan Braatz, 2:49) Verifying the Chain Rule (20121589, Ryan Braatz, 2:25) Proof Derivative Sine and Cosine (20121710, Ryan Braatz, 24:19) Proof with Parametric Equations (20121607, Ryan Braatz, 4:16) Proving the Power Rule of Antiderivatives (20121617, Ryan Braatz, 4:21) Proving Antiderivative Rules (20121618, Ryan Braatz, 11:42) Proving Sigma Notation (20121684, Ryan Braatz, 3:38) Contrapositive of the Intermediate Value Theorem (20121632, Ryan Braatz, 4:58) |
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| Sigma Notation | Sigma Notation and Distance (20121677, Ryan Braatz, 15:10) Sigma Notation (20121678, Ryan Braatz, 1:50) Sigma Notation II (20121679, Ryan Braatz, 3:40) Sum of the First n Integers (20121680, Ryan Braatz, 5:41) Finding the Sum of First 100 Numbers (20121681, Ryan Braatz, 1:43) Finding the Sum (20121682, Ryan Braatz, 2:53) Using Sigma Notation (20121683, Ryan Braatz, 3:50) Average Velocity with Sigma Notation (20121685, Ryan Braatz, 7:28) |
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| Step Function | Step Function (20121686, Ryan Braatz, 2:41) Step Function II (20121687, Ryan Braatz, 7:43) Lower and Upper Estimate (20121688, Ryan Braatz, 8:17) Upper and Lower Sums (20121689, Ryan Braatz, 16:28) Step Function with Area Under the Curve (20121690, Ryan Braatz, 3:31) |
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