Calculus 1 (Full Course) || Math 1A || UC Berkeley
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What you'll learn
This course includes
- 23.5 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 157 lessons • 23.5 hours of video
Calculus 1 (Full Course) || Math 1A || UC Berkeley
157 lessons
• 23.5 hours
Calculus 1 (Full Course) || Math 1A || UC Berkeley
157 lessons
• 23.5 hours
- Algebra Precalculus Review | Video 1 - Overview || Calculus 1 00:46
- Algebra Precalculus Review | Video 2 - Order of Operations || Calculus 1 05:20
- Algebra Precalculus Review | Video 3 - Evaluating Logarithms || Calculus 1 06:13
- Algebra Precalculus Review | Video 4 - Trig Expressions || Calculus 1 08:22
- Algebra Precalculus Review | Video 5 - Inverse Trig Functions || Calculus 1 15:36
- Algebra Precalculus Review | Video 6 - Factoring Rational Expressions || Calculus 1 08:15
- Algebra Precalculus Review | Video 7 - Functions and Difference Quotients || Calculus 1 14:36
- Algebra Precalculus Review | Video 8 - Quadratic Equations || Calculus 1 03:59
- Algebra Precalculus Review | Video 9 - Equation with Absolute Values || Calculus 1 08:45
- Algebra Precalculus Review | Video 10 - Equation with Square Root || Calculus 1 09:41
- Algebra Precalculus Review Video 11 | Domain with Denominator Restriction || Calculus 1 04:12
- Algebra Precalculus Review | Video 12 - Domain with Square Root Restriction || Calculus 1 20:15
- 2.1 Tangent Lines and Velocity | Video 1 - Overview || Calculus 1 00:30
- 2.1 Tangent Lines and Velocity | Video 2 - Average and Instantaneous Velocity || Calculus 1 07:34
- 2.1 Tangent Lines and Velocity | Video 3 - Secant and Tangent Lines 08:45
- 2.2 Limit of a Function | Video 1 - Overview || Calculus 1 00:49
- 2.2 Limit of a Function | Video 2 - What is a Limit? || Calculus 1 07:52
- 2.2 Limit of a Function | Video 3 - Limits That Do Not Exist || Calculus 1 06:38
- 2.2 Limit of a Function | Video 4 - Evaluating Limits Graphically || Calculus 1 12:49
- 2.3 Evaluating Limits Algebraically | Video 1 - Overview || Calculus 1 01:42
- 2.3 Evaluating Limits Algebraically | Video 2 - Limit Laws || Calculus 1 07:33
- 2.3 Evaluating Limits Algebraically | Video 3 - Case 1: Direct Substitution || Calculus 1 03:54
- 2.3 Evaluating Limits Algebraically | Video 4 - Case 2: Nonzero/0 || Calculus 1 14:58
- 2.3 Evaluating Limits Algebraically | Video 5 - Case 3: Indeterminate Forms || Calculus 1 13:57
- 2.3 Evaluating Limits Algebraically | Video 6 - Case 4: None of the Above || Calculus 1 04:58
- 2.3 Evaluating Limits Algebraically | Video 7 - Difference Quotient Limit 07:17
- 2.3 Evaluating Limits Algebraically | Video 8 - Limit with Absolute Value || Calculus 1 07:25
- 2.3 Evaluating Limits Algebraically | Video 9 - Squeeze Theorem || Calculus 1 13:09
- 2.3 Evaluating Limits Algebraically | Video 10 - True/False Limit Examples || Calculus 1 14:37
- 2.4 Epsilon Delta Def. of Limit | Video 1 - Overview || Calculus 1 01:17
- 2.4 Epsilon Delta Def. of Limit | Video 2 - Absolute Value as Distance || Calculus 1 09:06
- 2.4 Epsilon Delta Def. of Limit | Video 3 - Precise Def. of Limit (Epsilon-Delta) || Calculus 1 22:04
- 2.4 Epsilon Delta Def. of Limit | Video 4 - Epsilon Delta Proof for Linear Function || Calculus 1 16:23
- 2.4 Epsilon Delta Def. of Limit | Video 5 - Epsilon Delta Proof for Quadratic || Calculus 1 17:59
- 2.5 Continuity | Video 1 - Overview || Calculus 1 00:30
- 2.5 Continuity | Video 2 - Testing for Continuity || Calculus 1 14:45
- 2.5 Continuity | Video 3 - Types of Discontinuities || Calculus 1 10:04
- 2.5 Continuity | Video 4 - Theorems About Continuous Functions || Calculus 1 05:20
- 2.5 Continuity | Video 5 - Intermediate Value Theorem || Calculus 1 17:39
- 2.6 Infinite Limits | Video 1 - Overview || Calculus 1 00:52
- 2.6 Infinite Limits | Video 2 - Infinite Limits by Factoring || Calculus 1 17:13
- 2.6 Infinite Limits | Video 3 - Shortcut for Rational like Functions || Calculus 1 09:47
- 2.6 Infinite Limits | Video 4 - What are sqrt(x^2) and (sqrt(x))^2? 04:50
- 2.6 Infinite Limits | Video 5 - Infinite Limit with sqrt(stuff) 08:54
- 2.6 Infinite Limits | Video 6 - Harder Example || Calculus 1 12:24
- 2.7-2.8 Derivatives and Rates of Change | Video 1 - Overview || Calculus 1 01:02
- 2.7-2.8 Derivatives and Rates of Change | Video 2 Def. of Derivative (h goes to 0) || Calculus 1 19:23
- 2.7-2.8 Derivatives and Rates of Change | Video 3 - Another Def. of Deriv. Example || Calculus 1 07:59
- 2.7-2.8 Derivatives and Rates of Change | Video 4 - Def. of Derivative (x goes to a) || Calculus 1 08:38
- 2.7-2.8 Derivatives and Rates of Change | Video 5 - Differentiability 07:42
- 2.7-2.8 Derivatives and Rates of Change | Video 6 - Recognize Limit as Derivative || Calculus 1 03:56
- 2.7-2.8 Derivatives and Rates of Change | Video 7 - Graph Example || Calculus 1 11:41
- 3.1 Derivative Rules | Video 1 - Overview || Calculus 1 00:46
- 3.1 Derivative Rules | Video 2 - Derivatives of f(x)=c and f(x)=x || Calculus 1 06:01
- 3.1 Derivative Rules | Video 3 - Power, Constant Multiple, Sum & Difference Rules || Calculus 1 10:49
- 3.1 Derivative Rules | Video 4 - More Derivative Examples || Calculus 1 10:56
- 3.1 Derivative Rules | Video 5 - Derivative of e^x || Calculus 1 08:39
- 3.1 Derivative Rules | Video 6 - Higher Order Derivatives || Calculus 1 04:27
- 3.2 Product and Quotient Rules | Video 1 - Overview || Calculus 1 00:26
- 3.2 Product and Quotient Rules | Video 2 - Product Rule || Calculus 1 09:44
- 3.2 Product and Quotient Rules | Video 3 - Quotient Rule || Calculus 1 12:45
- 3.3 Derivatives of Trig Functions | Video 1 - Overview || Calculus 1 00:29
- 3.3 Derivatives of Trig Functions | Video 2 - Two Special Trig Limits || Calculus 1 20:29
- 3.3 Derivatives of Trig Functions | Video 3 - sin(x) and cos(x) || Calculus 1 06:00
- 3.3 Derivatives of Trig Functions | Video 4 - tan(x), cot(x), sec(x), and csc(x) || Calculus 1 04:53
- 3.3 Derivatives of Trig Functions | Video 5 - Special Trig Limit Examples || Calculus 1 09:20
- 3.4 Chain Rule | Video 1 - Overview || Calculus 1 00:48
- 3.4 Chain Rule | Video 2 - What is the Chain Rule? || Calculus 1 10:54
- 3.4 Chain Rule | Video 3 - Chain Rule More Than Once || Calculus 1 11:47
- 3.4 Chain Rule | Video 4 - Using Chain Rule With Product and Quotient Rules || Calculus 1 12:33
- 3.4 Chain Rule | Video 5 - Derivative of a^x || Calculus 1 08:49
- 3.5 Implicit Differentiation | Video 1 - Overview || Calculus 1 00:20
- 3.5 Implicit Differentiation | Video 2 - What is Implicit Differentiation? 15:54
- 3.5 Implicit Differentiation | Video 3 - Another Example || Calculus 1 09:55
- 3.5 Implicit Differentiation | Video 4 - Derivatives of Inverse Trig Functions || Calculus 1 10:57
- 3.6 Log Derivatives | Video 1 - Overview || Calculus 1 00:35
- 3.6 Log Derivatives | Video 2 - Derivative of ln(x) || Calculus 1 03:32
- 3.6 Log Derivatives | Video 3 - Examples || Calculus 1 10:39
- 3.6 Log Derivatives | Video 4 - Logarithmic Differentiation || Calculus 1 06:58
- 3.7 Rates of Change | Video 1 - Overview || Calculus 1 00:23
- 3.7 Rates of Change | Video 2 - Moving Particle Example || Calculus 1 28:08
- 3.9 Related Rates | Video 1 - Overview || Calculus 1 00:15
- 3.9 Related Rates | Video 2 - Spherical Balloon Example || Calculus 1 11:14
- 3.9 Related Rates | Video 3 - Ladder Example || Calculus 1 12:25
- 3.9 Related Rates | Video 4 - Conical Water Cup || Calculus 1 16:33
- 3.9 Related Rates | Video 5 - Rotating Camera || Calculus 1 06:09
- 3.9 Related Rates | Video 6 - Rotating Triangular Tires || Calculus 1 16:17
- 3.10 Linear Approximation | Video 1 - Overview || Calculus 1 00:34
- 3.10 Linear Approximation | Video 2 - What is Linear Approximation? || Calculus 1 10:50
- 3.10 Linear Approximation | Video 3 - Another Example || Calculus 1 07:09
- 4.1 Maximum and Minimum Values | Video 1 - Overview || Calculus 1 00:34
- 4.1 Maximum and Minimum Values | Video 2 - What are Absolute and Local Extrema? || Calculus 1 09:45
- 4.1 Maximum and Minimum Values | Video 3 - Critical Numbers || Calculus 1 09:19
- 4.1 Maximum and Minimum Values | Video 4 - Finding Absolute Maxima and Minima || Calculus 1 17:16
- 4.2 Mean Value Theorem | Video 1 - Overview || Calculus 1 00:21
- 4.2 Mean Value Theorem | Video 2 - Rolle's Theorem and Mean Value Theorem || Calculus 1 08:15
- 4.2 Mean Value Theorem | Video 3 - MVT Example || Calculus 1 09:10
- 4.2 Mean Value Theorem | Video 4 - Show Equation Has Exactly 1 Root || Calculus 1 16:50
- 4.2 Mean Value Theorem | Video 5 - Theorem About Constant Functions || Calculus 1 04:17
- 4.3 Shape of Graph | Video 1 - Overview || Calculus 1 00:40
- 4.3 Shape of Graph | Video 2 - Connection Between Increasing/Decreasing and f'(x) || Calculus 1 05:43
- 4.3 Shape of Graph | Video 3 - Increasing/Decreasing and First Derivative Test || Calculus 1 12:55
- 4.3 Shape of Graph | Video 4 - What is Concavity? || Calculus 1 07:16
- 4.3 Shape of Graph | Video 5 - Concavity Intervals and Inflection Points || Calculus 1 07:53
- 4.3 Shape of Graph | Video 6 - Second Derivative Test || Calculus 1 11:59
- 4.3 Shape of Graph | Video 7 - Another Example || Calculus 1 25:48
- 4.4 L'Hospital's Rule | Video 1 - Overview || Calculus 1 00:47
- 4.4 L'Hospital's Rule | Video 2 - What is L'Hospital's Rule? || Calculus 1 12:39
- 4.4 L'Hospital's Rule | Video 3 - Common Error || Calculus 1 07:14
- 4.4 L'Hospital's Rule | Video 4 - Infinity - Infinity Example || Calculus 1 04:52
- 4.4 L'Hospital's Rule | Video 5 - (0)(Infinity) Example 05:26
- 4.4 L'Hospital's Rule | Video 6 - Exponent Indeterminate Forms Example || Calculus 1 10:10
- 4.5 Curve Sketching | Video 1 - Overview || Calculus 1 00:39
- 4.5 Curve Sketching | Video 2 - Even and Odd Functions || Calculus 1 06:29
- 4.5 Curve Sketching | Video 3 - Finding Asymptotes and Holes || Calculus 1 07:15
- 4.5 Curve Sketching | Video 4 - Example || Calculus 1 23:58
- 4.7 Optimization | Video 1 - Overview || Calculus 1 00:26
- 4.7 Optimization | Video 2 - Maximize and Minimize Sum || Calculus 1 22:09
- 4.7 Optimization | Video 3 - Maximize Area || Calculus 1 11:30
- 4.7 Optimization | Video 4 - Minimize Cost || Calculus 1 14:57
- 4.9 Antiderivatives | Video 1 - Overview || Calculus 1 00:22
- 4.9 Antiderivatives | Video 2 - What are Antiderivatives? || Calculus 1 17:35
- 4.9 Antiderivatives | Video 3 - Antiderivative Rules and Examples || Calculus 1 16:48
- 4.9 Antiderivatives | Video 4 - Applied Example Differential Equation || Calculus 1 05:55
- 5.1-5.2 Definite Integrals | Video 1 - Overview || Calculus 1 00:42
- 5.1-5.2 Definite Integrals | Video 2 - Estimating Area with Riemann Sums || Calculus 1 17:40
- 5.1-5.2 Definite Integrals | Video 3 - Estimate Area Using Table of Values || Calculus 1 08:15
- 5.1-5.2 Definite Integrals | Video 4 - Sigma Notation || Calculus 1 12:02
- 5.1-5.2 Definite Integrals | Video 5 - Finding Exact Area with Limit of Riemann Sums || Calculus 1 19:20
- 5.1-5.2 Definite Integrals | Video 6 - Definite Integral as Signed Area || Calculus 1 10:46
- 5.1-5.2 Definite Integrals | Video 7 - Definite Integral Properties || Calculus 1 16:42
- 5.1-5.2 Definite Integrals | Video 8 - Definite Integral with Discontinuity || Calculus 1 04:25
- 5.3 Fundamental Thm. of Calculus | Video 1 - Overview || Calculus 1 00:27
- 5.3 Fundamental Thm. of Calculus | Video 2 - What is FTC Part 1? || Calculus 1 12:01
- 5.3 Fundamental Thm. of Calculus | Video 3 - FTC 1 Examples || Calculus 1 07:09
- 5.3 Fundamental Thm. of Calculus | Video 4 - What is FTC Part 2? || Calculus 1 07:51
- 5.3 Fundamental Thm. of Calculus | Video 5 - FTC 2 Examples || Calculus 1 11:23
- 5.4 Net Change | Video 1 - Overview || Calculus 1 00:19
- 5.4 Net Change | Video 2 - What is the Net Change Theorem? || Calculus 1 18:27
- 5.5 U-Substitution | Video 1 - Overview || Calculus 1 00:33
- 5.5 U-Substitution | Video 2 - What is U-Substitution? || Calculus 1 11:01
- 5.5 U-Substitution | Video 3 - Examples with Powers || Calculus 1 18:13
- 5.5 U-Substitution | Video 4 - Examples with Logs and Exponentials || Calculus 1 06:18
- 5.5 U-Substitution | Video 5 - Example with Trig || Calculus 1 08:58
- 5.5 U-Substitution | Video 6 - U-Sub with Definite Integral || Calculus 1 05:29
- 5.5 U-Substitution | Video 7 - Harder U-Sub Example || Calculus 1 05:15
- 5.5 U-Substitution | Video 8 - Definite Integrals of Even and Odd Functions || Calculus 1 07:11
- 6.1 Areas Between Curves | Video 1 - Overview || Calculus 1 00:28
- 6.1 Areas Between Curves | Video 2 - Area Using dx Integral || Calculus 1 08:55
- 6.1 Areas Between Curves | Video 3 - Examples || Calculus 1 17:17
- 6.1 Areas Between Curves | Video 4 - Area Using dy Integral || Calculus 1 17:00
- 6.2 Volumes | Video 1 - Overview || Calculus 1 00:30
- 6.2 Volumes | Video 2 - Formula for Volume Using Integrals || Calculus 1 11:51
- 6.2 Volumes | Video 3 - Volume of a Cone || Calculus 1 08:53
- 6.2 Volumes | Video 4 - Volumes of Revolution || Calculus 1 21:59
- 6.2 Volumes | Video 5 - Volume When Given Base and Cross Sections || Calculus 1 07:28
- 5.3 Fundamental Theorem of Calculus Part 1 Graphical Example 07:22
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