Single Variable Calculus
by MIT from World Possible
Course Home Page
Course Syllabus
Lecture
Length
Video Title
Lecture Notes
Assignments
Lecture 1
51:32
Lecture 1: Rate of Change
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transcript
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Lecture Notes
(For Units 1-7)
Problem Set 1
(Finish by Lecture 5)
Lecture 2
52:46
Lecture 2: Trigonometric limits
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transcript
)
Lecture Notes
(For Units 1-7)
Problem Set 1
(Finish by Lecture 5)
Lecture 3
49:54
Lecture 3: Derivatives
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transcript
)
Lecture Notes
(For Units 1-7)
Problem Set 1
(Finish by Lecture 5)
Lecture 4
46:02
Lecture 4: Chain Rule
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transcript
)
Lecture Notes
(For Units 1-7)
Problem Set 1
(Finish by Lecture 5)
Lecture 5
49:00
Lecture 5: Implicit Differentiation
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transcript
)
Lecture Notes
(For Units 1-7)
Problem Set 1
(Finish by Lecture 5)
Lecture 6
47:56
Lecture 6: Exponential and Log
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transcript
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Lecture Notes
(For Units 1-7)
Problem Set 2A
(Finish by Lecture 7)
Lecture 7
50:52
Lecture 7: Hyperbolic Functions
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transcript
)
Lecture Notes
(For Units 1-7)
Problem Set 2A
(Finish by Lecture 7)
There is no Lecture 8
MIDTERM EXAM 1
Review Notes
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Practice Problems
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Practice Answers
→
Midterm Exam 1
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Exam Answers
Lecture 9
46:47
Lecture 9:Linear and Quadratic Approximations
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 2B
(Finish by Lecture 11)
Lecture 10
51:44
Lecture 10: Curve Sketching
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 2B
(Finish by Lecture 11)
Lecture 11
49:42
Lecture 11: Max-Min
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 2B
(Finish by Lecture 11)
Lecture 12
49:56
Lecture 12: Lecture Related Rates
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 3
(Finish by Lecture 14)
Lecture 13
53:23
Lecture 13: Newton's Method
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 3
(Finish by Lecture 14)
Lecture 14
49:42
Lecture 14: Mean Value Theorem
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 3
(Finish by Lecture 14)
Lecture 15
48:53
Lecture 15: Antiderivatives
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 4
(Finish by Lecture 19)
Lecture 16
45:24
Lecture 16: Differential Equations
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transcript
)
Lecture Notes
(For Units 8-16)
Problem Set 4
(Finish by Lecture 19)
There is no Lecture 17
MIDTERM EXAM 2
Review Notes
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Practice Problems
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Practice Answers
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Midterm Exam 2
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Exam Answers
Lecture 18
47:13
Lecture 18: Definite Integrals
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transcript
)
Lecture Notes
(For Units 18-25)
Problem Set 4
(Finish by Lecture 19)
Lecture 19
48:15
Lecture 19: First Fundemental Theorem
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transcript
)
Lecture Notes
For Units 18-25)
Problem Set 4
(Finish by Lecture 19)
Lecture 20
49:30
Lecture 20: Second Fundemental Theorem
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transcript
)
Lecture Notes
For Units 18-25)
Problem Set 5
(Finish by Lecture 22)
Lecture 21
50:16
Lecture 21: Application to Logarithms
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transcript
)
Lecture Notes
For Units 18-25)
Problem Set 5
(Finish by Lecture 22)
Lecture 22
49:57
Lecture 22: Volumes
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transcript
)
Lecture Notes
For Units 18-25)
Problem Set 5
(Finish by Lecture 22)
Lecture 23
48:36
Lecture 23: Work, Probability
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transcript
)
Lecture Notes
(For Units 18-25)
Problem Set 6
(Finish by Lecture 25)
Lecture 24
50:30
Lecture 24: Numerical Integration
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transcript
)
Lecture Notes
For Units 18-25)
Problem Set 6
(Finish by Lecture 25)
Lecture 25
49:19
Lecture 25: Exam 3 Review
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transcript
)
Lecture Notes
For Units 18-25)
Problem Set 6
(Finish by Lecture 25)
There is no Lecture 26
MIDTERM EXAM 3
Review Notes
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Practice Problems
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Practice Answers
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Midterm Exam 3
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Exam Answers
Lecture 27
46:44
Lecture 27: Trig Integrals
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 7
(Finish by Lecture 30)
Lecture 28
48:29
Lecture 28: Inverse Substitution
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 7
(Finish by Lecture 30)
Lecture 29
48:37
Lecture 29: Partial Fractions
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 7
(Finish by Lecture 30)
Lecture 30
51:24
Lecture 30: Integration by Parts
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 7
(Finish by Lecture 30)
Lecture 31
45:24
Lecture 31: Parametric Equations
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8A
(Finish by Lecture 33)
Lecture 32
49:22
Lecture 32: Polar Coordinates
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8A
(Finish by Lecture 33)
Lecture 33
49:06
Lecture 33: Exam 4 Review
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8A
(Finish by Lecture 33)
There is no Lecture 34
MIDTERM EXAM 4
Review Notes
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Practice Problems
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Practice Answers
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Midterm Exam 4
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Exam Answers
Lecture 35
48:43
Lecture 35: Indeterminate Forms
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8B
(Finish by Lecture 39)
Lecture 36
49:26
Lecture 36: Improper Integrals
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8B
(Finish by Lecture 39)
Lecture 37
50:12
Lecture 37: Infinite Series
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8B
(Finish by Lecture 39)
Lecture 38
47:31
Lecture 38: Taylor's Series
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8B
(Finish by Lecture 39)
Lecture 39
39:13
Lecture 39: Final Review
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transcript
)
Lecture Notes
(For Units 26-38)
Problem Set 8B
(Finish by Lecture 39)
FINAL EXAM
Review Notes
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Practice Problems
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Practice Answers