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Calculus 1 - Full College Course(87)
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[Corequisite] Rational Expressions (
00:00:00
)
[Corequisite] Difference Quotient (
00:09:40
)
Graphs and Limits (
00:18:20
)
When Limits Fail to Exist (
00:25:51
)
Limit Laws (
00:31:28
)
The Squeeze Theorem (
00:37:07
)
Limits using Algebraic Tricks (
00:42:55
)
When the Limit of the Denominator is 0 (
00:56:04
)
[Corequisite] Lines: Graphs and Equations (
01:08:40
)
[Corequisite] Rational Functions and Graphs (
01:17:09
)
Limits at Infinity and Graphs (
01:30:35
)
Limits at Infinity and Algebraic Tricks (
01:37:31
)
Continuity at a Point (
01:45:34
)
Continuity on Intervals (
01:53:21
)
Intermediate Value Theorem (
01:59:43
)
[Corequisite] Right Angle Trigonometry (
02:03:37
)
[Corequisite] Sine and Cosine of Special Angles (
02:11:13
)
[Corequisite] Unit Circle Definition of Sine and Cosine (
02:19:16
)
[Corequisite] Properties of Trig Functions (
02:24:46
)
[Corequisite] Graphs of Sine and Cosine (
02:35:25
)
[Corequisite] Graphs of Sinusoidal Functions (
02:41:57
)
[Corequisite] Graphs of Tan, Sec, Cot, Csc (
02:52:10
)
[Corequisite] Solving Basic Trig Equations (
03:01:03
)
Derivatives and Tangent Lines (
03:08:14
)
Computing Derivatives from the Definition (
03:22:55
)
Interpreting Derivatives (
03:34:02
)
Derivatives as Functions and Graphs of Derivatives (
03:42:33
)
Proof that Differentiable Functions are Continuous (
03:56:25
)
Power Rule and Other Rules for Derivatives (
04:01:09
)
[Corequisite] Trig Identities (
04:07:42
)
[Corequisite] Pythagorean Identities (
04:15:14
)
[Corequisite] Angle Sum and Difference Formulas (
04:20:35
)
[Corequisite] Double Angle Formulas (
04:28:31
)
Higher Order Derivatives and Notation (
04:36:01
)
Derivative of e^x (
04:39:22
)
Proof of the Power Rule and Other Derivative Rules (
04:46:52
)
Product Rule and Quotient Rule (
04:56:31
)
Proof of Product Rule and Quotient Rule (
05:02:09
)
Special Trigonometric Limits (
05:10:40
)
[Corequisite] Composition of Functions (
05:17:31
)
[Corequisite] Solving Rational Equations (
05:29:54
)
Derivatives of Trig Functions (
05:40:02
)
Proof of Trigonometric Limits and Derivatives (
05:46:23
)
Rectilinear Motion (
05:54:38
)
Marginal Cost (
06:11:41
)
[Corequisite] Logarithms: Introduction (
06:16:51
)
[Corequisite] Log Functions and Their Graphs (
06:25:32
)
[Corequisite] Combining Logs and Exponents (
06:36:17
)
[Corequisite] Log Rules (
06:40:55
)
The Chain Rule (
06:49:27
)
More Chain Rule Examples and Justification (
06:58:44
)
Justification of the Chain Rule (
07:07:43
)
Implicit Differentiation (
07:10:00
)
Derivatives of Exponential Functions (
07:20:28
)
Derivatives of Log Functions (
07:25:38
)
Logarithmic Differentiation (
07:29:38
)
[Corequisite] Inverse Functions (
07:37:08
)
Inverse Trig Functions (
07:51:22
)
Derivatives of Inverse Trigonometric Functions (
08:00:56
)
Related Rates - Distances (
08:12:11
)
Related Rates - Volume and Flow (
08:17:55
)
Related Rates - Angle and Rotation (
08:22:21
)
[Corequisite] Solving Right Triangles (
08:28:20
)
Maximums and Minimums (
08:34:54
)
First Derivative Test and Second Derivative Test (
08:46:18
)
Extreme Value Examples (
08:51:37
)
Mean Value Theorem (
09:01:33
)
Proof of Mean Value Theorem (
09:09:09
)
[Corequisite] Solving Right Triangles (
00:14:59
)
Derivatives and the Shape of the Graph (
09:25:20
)
Linear Approximation (
09:33:31
)
The Differential (
09:48:28
)
L'Hospital's Rule (
09:59:11
)
L'Hospital's Rule on Other Indeterminate Forms (
10:06:27
)
Newtons Method (
10:16:13
)
Antiderivatives (
10:27:45
)
Finding Antiderivatives Using Initial Conditions (
10:33:24
)
Any Two Antiderivatives Differ by a Constant (
10:41:59
)
Summation Notation (
10:45:19
)
Approximating Area (
10:49:12
)
The Fundamental Theorem of Calculus, Part 1 (
11:04:22
)
The Fundamental Theorem of Calculus, Part 2 (
11:15:02
)
Proof of the Fundamental Theorem of Calculus (
11:22:17
)
The Substitution Method (
11:29:18
)
Why U-Substitution Works (
11:38:07
)
Average Value of a Function (
11:40:23
)
Proof of the Mean Value Theorem for Integrals (
11:47:57
)
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